Tootfinder

Many phases in a hairy box in three dimensions
Shoichiro Miyashita
https://arxiv.org/abs/2506.20528 https://arxiv.org/pdf/2506.20528

Many phases in a hairy box in three dimensions
In this paper, I investigate gravitational thermodynamics of the Einstein-Maxwell-scalar system in three dimensions without a cosmological constant. In the previous work by Krishnan,Shekhar, and Bala Subramanian (Nucl. Phys. B 958 (2020) 115115 [33]), it was argued that this system has no BH saddles, but has only empty (flat space) saddles and boson star saddles. It was then concluded that the structure of the thermodynamic phase space is much simpler than in the higher dimensional cases. I wil…

Causal Decomposition Analysis with Synergistic Interventions: A Triply-Robust Machine Learning Approach to Addressing Multiple Dimensions of Social Disparities
Soojin Park, Su Yeon Kim, Xinyao Zheng, Chioun Lee
https://arxiv.org/abs/2506.18994

Causal Decomposition Analysis with Synergistic Interventions: A Triply-Robust Machine Learning Approach to Addressing Multiple Dimensions of Social Disparities
Educational disparities are rooted in and perpetuate social inequalities across multiple dimensions such as race, socioeconomic status, and geography. To reduce disparities, most intervention strategies focus on a single domain and frequently evaluate their effectiveness by using causal decomposition analysis. However, a growing body of research suggests that single-domain interventions may be insufficient for individuals marginalized on multiple fronts. While interventions across multiple doma…

Positive intermediate Ricci curvature on cohomogeneity one manifolds in low dimensions
Elahe Khalili Samani, Lawrence Mouill\'e
https://arxiv.org/abs/2507.17920 https://

Positive intermediate Ricci curvature on cohomogeneity one manifolds in low dimensions
We explore existence of invariant metrics with positive intermediate Ricci curvature on closed, low-dimensional cohomogeneity one manifolds. For a certain cohomogeneity one $\mathsf{Spin}(4)$-action on $S^3 \times \mathbb{C}\mathrm{P}^2$, we construct an invariant metric with positive $4$-intermediate Ricci curvature and show it cannot admit one with positive $3$-intermediate Ricci curvature. We establish similar obstructions for several other cohomogeneity one manifolds.

Unfolding Data Quality Dimensions in Practice: A Survey
Vasileios Papastergios, Lisa Ehrlinger, Anastasios Gounaris
https://arxiv.org/abs/2507.17507 https:…

Unfolding Data Quality Dimensions in Practice: A Survey
Data quality describes the degree to which data meet specific requirements and are fit for use by humans and/or downstream tasks (e.g., artificial intelligence). Data quality can be assessed across multiple high-level concepts called dimensions, such as accuracy, completeness, consistency, or timeliness. While extensive research and several attempts for standardization (e.g., ISO/IEC 25012) exist for data quality dimensions, their practical application often remains unclear. In parallel to rese…

Symmetry Classification of Altermagnetism and Emergence of Type-IV Magnetism in Two Dimensions
Mu Tian, Chaoxi Cui, Zeying Zhang, Jingyi Duan, Wanxiang Feng, Run-Wu Zhang
https://arxiv.org/abs/2508.17864

Symmetry Classification of Altermagnetism and Emergence of Type-IV Magnetism in Two Dimensions
Two-dimensional (2D) magnetism, particularly 2D altermagnetism (AM), has attracted considerable interest due to its exceptional physical properties and broad application potential. However, the classification of AM undergoes a fundamental paradigm shift when transitioning from three-dimensional (3D) to 2D symmetry-enforced fully compensated collinear magnetism$-$a shift that has remained largely overlooked. Here, by extending unconventional magnetism to 2D collinear systems, we identify the sym…

Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions
Guher Camliyurt, Carlos E. Kenig
https://arxiv.org/abs/2508.15996 https://

Scattering for radial bounded solutions of focusing supercritical wave equations in four dimensions
We consider the focusing wave equation with energy supercritical nonlinearity in dimension four. We prove that any radial solution that remains bounded in the critical Sobolev space is global and scatters to free waves as $t \to \pm \infty$.

(3 1)-dimensional compressible fluid as a (4 1)-dimensional Chern-Simons system
Miguel D. Bustamante, Laura Andrianopoli, Mario Trigiante, Jorge Zanelli
https://arxiv.org/abs/2508.18078

(3+1)-dimensional compressible fluid as a (4+1)-dimensional Chern-Simons system
A fluid described by an Abelian Chern-Simons action principle in 4+1 dimensions is considered. Letting 3+1 dimensions correspond to the usual space and time, and assuming the fields to be independent of the fifth coordinate, the free theory provides an interpretation as a system of advection equations, where the advecting velocity field is defined as the null vector of the field strength tensor (curvature). The free theory possesses a number of conservation laws which turn out to be prototypica…

Expanders in Models of Social Networks
Marc Kaufmann, Johannes Lengler, Ulysse Schaller, Konstantin Sturm
https://arxiv.org/abs/2506.19485 https://

Expanders in Models of Social Networks
A common model for social networks are Geometric Inhomogeneous Random Graphs (GIRGs), in which vertices draw a random position in some latent geometric space, and the probability of two vertices forming an edge depends on their geometric distance. The geometry may be modelled in two ways: either two points are defined as close if they are similar in all dimensions, or they are defined as close if they are similar in some dimensions. The first option is mathematically more natural since it can b…

@doomgirl@mstdn.games “Why does The Fairphone (Gen. 6) not have an audio jack?
After some of the criticism that we received about removing the headphone jack from Fairphone 4, we did consider bringing it back for The Fairphone (Gen. 6). However, we realized it would be at the expense of increasing the phone’s dimensions. We also looked into the consumer data and Fairphone 4’s weight and thickness were more of an issue than the lack of a minijack, so we decided to keep the same approach…

Beam Geometry and Input Dimensionality: Impact on Sparse-Sampling Artifact Correction for Clinical CT with U-Nets
Tina Dorosti, Johannes Thalhammer, Sebastian Peterhansl, Daniela Pfeiffer, Franz Pfeiffer, Florian Schaff
https://arxiv.org/abs/2508.17961

Beam Geometry and Input Dimensionality: Impact on Sparse-Sampling Artifact Correction for Clinical CT with U-Nets
This study aims to investigate the effect of various beam geometries and dimensions of input data on the sparse-sampling streak artifact correction task with U-Nets for clinical CT scans as a means of incorporating the volumetric context into artifact reduction tasks to improve model performance. A total of 22 subjects were retrospectively selected (01.2016-12.2018) from the Technical University of Munich's research hospital, TUM Klinikum rechts der Isar. Sparsely-sampled CT volumes were simula…

Generalized Multiple Operator Integrals for Operators with Finite Dimensions
Shih-Yu Chang
https://arxiv.org/abs/2506.19971 https://a…

Generalized Multiple Operator Integrals for Operators with Finite Dimensions
Multiple Operator Integrals (MOIs) have played a foundational role in operator theory and functional calculus, particularly for analyzing Hermitian matrices via spectral decomposition. Conventional MOIs rely on the assumption of self-adjointness, making them analytically tractable for computing Frechet derivatives, establishing trace formulas, and deriving commutator estimates. However, many problems in mathematics, science, and engineering involve matrices that are fundamentally non-Hermitian,…

Well-Founded Coalgebras Meet K\"onig's Lemma
Henning Urbat, Thorsten Wi{\ss}mann
https://arxiv.org/abs/2507.18539 https://arxiv.org/pdf/2507.18539…

Well-Founded Coalgebras Meet König's Lemma
König's lemma is a fundamental result about trees with countless applications in mathematics and computer science. In contrapositive form, it states that if a tree is finitely branching and well-founded (i.e. has no infinite paths), then it is finite. We present a coalgebraic version of König's lemma featuring two dimensions of generalization: from finitely branching trees to coalgebras for a finitary endofunctor H, and from the base category of sets to a locally finitely presentable category…

Cyclicity of interaction frame transformations
Michael C D Tayler, Mohamed Sabba
https://arxiv.org/abs/2506.20594 https://arxiv.org/p…

Cyclicity of interaction frame transformations
We identify a cyclic property of rotation sequences involving piecewise displacements $β$ about arbitrary axes in three dimensions. Specifically, when transformation to the toggling frame is applied successively $m$ times, for $β=2π/m$ the original sequence returns. This main result unites several families of rotation sequences used for error-tuned control across quantum technologies, from NMR and MRI to atomic clocks and atom-scale computing. For the widest class of cycle, $m=2$, we highlig…

MTalk-Bench: Evaluating Speech-to-Speech Models in Multi-Turn Dialogues via Arena-style and Rubrics Protocols
Yuhao Du, Qianwei Huang, Guo Zhu, Zhanchen Dai, Sunian Chen, Qiming Zhu, Yuhao Zhang, Li Zhou, Benyou Wang
https://arxiv.org/abs/2508.18240

MTalk-Bench: Evaluating Speech-to-Speech Models in Multi-Turn Dialogues via Arena-style and Rubrics Protocols
The rapid advancement of speech-to-speech (S2S) large language models (LLMs) has significantly improved real-time spoken interaction. However, current evaluation frameworks remain inadequate for assessing performance in complex, multi-turn dialogues. To address this, we introduce MTalk-Bench, a multi-turn S2S benchmark covering three core dimensions: Semantic Information, Paralinguistic Information, and Ambient Sound. Each dimension includes nine realistic scenarios, along with targeted tasks t…

Dimensions of toggleability spaces
Ben Adenbaum, Spencer Daugherty, Nicholas Mayers
https://arxiv.org/abs/2508.14974 https://arxiv.org/pdf/2508.14974

Dimensions of toggleability spaces
We establish a conjecture of Defant, Hopkins, Poznanović, and Propp concerning the dimensions of toggleability spaces for products of chains, shifted staircases, type-A root posets, and type-B posets. Generalizing this result, we show that for a larger family of posets defined by restricted diagrams, the dimensions of toggleability spaces are equal to the rank of the poset plus one. As part of our approach, we build upon the technique of rook statistics introduced by Chan, Haddadan, Hopkins, a…

The hyperbolic lattice counting problem in large dimensions
Christos Katsivelos
https://arxiv.org/abs/2506.17753 https://arxiv.org/pd…

The hyperbolic lattice counting problem in large dimensions
For $n\geq 3$ and $Γ$ a cocompact lattice acting on the hyperbolic space $\mathbb{H}^n$, we investigate the average behaviour of the error term in the circle problem. First, we explore the local average of the error term over compact sets of $Γ\backslash\mathbb{H}^n$. Our upper bound depends on the quantum variance and the spectral exponential sums appearing in the study of the Prime geodesic theorem. We also prove $Ω$-results for the mean value and the second moment of the error term.

Timecube guy's getting hammered in a dive bar RN.
https://phys.org/news/2025-06-theory-dimensions-space-secondary-effect.amp

Massive deformations of supersymmetric Yang-Mills matrix models
Adrien Martina
https://arxiv.org/abs/2507.17813 https://arxiv.org/pdf/2507.17813

Massive deformations of supersymmetric Yang-Mills matrix models
We systematically classify all supersymmetry-preserving mass deformations of SYM matrix models in all dimensions (D = 3, 4, 6, 10). In D = 10 the polarized IKKT model emerges as the only possible deformation. Moreover, in the particular case D = 4 we identify two massive, sign-problem-free models, making them attractive candidates for non-perturbative numerical studies.

Stable models in lower dimensions within the quadratic form of the non-metricity theory
G. G. L. Nashed, Salvatore Capozziello
https://arxiv.org/abs/2508.16679 https://

Stable models in lower dimensions within the quadratic form of the non-metricity theory
This work investigates exact charged and uncharged black hole solutions in a (2+1)-dimensional spacetime within the framework of the quadratic form of the symmetric teleparallel theory, known as $f(\mathbb{Q})$ gravity, where $\mathbb{Q}$ is the non-metricity scalar. By employing a spherically symmetric ansatz and considering both vanishing and non-vanishing electromagnetic fields, we derive new classes of black hole solutions and analyze their geometric and physical properties. The study demon…

Quasi one dimensional anomalous (rogue) waves in multidimensional nonlinear Schr\"odinger equations 1: fission and fusion
Francesco Coppini, Paolo Maria Santini
https://arxiv.org/abs/2508.18120

Quasi one dimensional anomalous (rogue) waves in multidimensional nonlinear Schrödinger equations 1: fission and fusion
In this paper we study the first nonlinear stage of modulation instability (NLSMI) of $x$-periodic AWs in multidimensional generalizations of the focusing nonlinear Schrödinger (NLS) equation, like the non-integrable elliptic and hyperbolic NLS equations in $2+1$ and $3+1$ dimensions. In the quasi one-dimensional (Q1D) regime, where the wavelength in the $x$ direction of propagation is significantly smaller than in the transversal directions, the behavior is universal, independent of the parti…

GPT-OSS-20B: A Comprehensive Deployment-Centric Analysis of OpenAI's Open-Weight Mixture of Experts Model
Deepak Kumar, Divakar Yadav, Yash Patel
https://arxiv.org/abs/2508.16700

GPT-OSS-20B: A Comprehensive Deployment-Centric Analysis of OpenAI's Open-Weight Mixture of Experts Model
We present a single-GPU (H100, bf16) evaluation of GPT-OSS-20B (Mixture-of-Experts; 20.9B total, approx. 3.61B active) against dense baselines Qwen3-32B and Yi-34B across multiple dimensions. We measure true time-to-first-token (TTFT), full-decode throughput (TPOT), end-to-end latency percentiles, peak VRAM with past key values (PKV) held, and energy via a consistent nvidia-smi-based sampler. At a 2048-token context with 64-token decode, GPT-OSS-20B delivers higher decode throughput and tokens …

Statistical analysis of interplanetary shock waves measured by a Solar Wind Analyzer and a magnetometer onboard the Solar Orbiter Mission in 2023
Oleksandr Yakovlev, Oleksiy Dudnik, Anna Wawrzaszek
https://arxiv.org/abs/2506.19986

Statistical analysis of interplanetary shock waves measured by a Solar Wind Analyzer and a magnetometer onboard the Solar Orbiter Mission in 2023
Interplanetary (IP) shock waves are greatly interesting, as they represent significant phenomena in near-Earth space and are direct drivers of geomagnetic and radiation storms. Moreover, various data and parameters are being explored for the identification and characterization of these waves. The spatial dimensions of shock waves vary significantly with the conditions and parameters of the propagating medium. For example, the radii of curvature of the shock wave fronts can vary by several hundr…

Efficient optimization of variational tensor-network approach to three-dimensional statistical systems
Xia-Ze Xu, Tong-Yu Lin, Guang-Ming Zhang
https://arxiv.org/abs/2506.19339

Efficient optimization of variational tensor-network approach to three-dimensional statistical systems
Variational tensor network optimization has become a powerful tool for studying classical statistical models in two dimensions. However, its application to three-dimensional systems remains limited, primarily due to the high computational cost associated with evaluating the free energy density and its gradient. This process requires contracting a triple-layer tensor network composed of a projected entangled pair operator and projected entangled pair states. In this paper, we employ a split corn…

Low-order finite element complex with application to a fourth-order elliptic singular perturbation problem
Xuewei Cui, Xuehai Huang
https://arxiv.org/abs/2506.20240

Low-order finite element complex with application to a fourth-order elliptic singular perturbation problem
A low-order nonconforming finite element discretization of a smooth de Rham complex starting from the $H^2$ space in three dimensions is proposed, involving an $H^2$-nonconforming finite element space, a new tangentially continuous $H^1$-nonconforming vector-valued finite element space, the lowest-order Raviart-Thomas space, and piecewise constant functions. While nonconforming for the smooth complex, the discretization conforms to the classical de Rham complex. It is applied to develop a decou…

The Ejecta Nebula Around the Wolf-Rayet Star WR 71
Robert A. Fesen, Manuel C. Peitsch, Martin R. Pugh, Bray Falls, Marcel Drechsler
https://arxiv.org/abs/2507.17946 https://

The Ejecta Nebula Around the Wolf-Rayet Star WR 71
We present deep H$α$ and [O III] images of the ejecta rich nebulosity associated with the suspected runaway and binary Wolf-Rayet star WR~71 (HD 143414). In H$α$ emission, the nebula appears as a crescent shaped, broken ring of clumpy emission some $9' \times 13'$ in angular size centered to the south and west of the WR star. At a Gaia estimated distance of 4.27 kpc, the nebula has physical dimensions of $11 \times 16$ pc making it one of the larger known ejecta rich WR ring nebulae. Our [O I…

New theory proposes time has three dimensions, with space as a secondary effect
https://phys.org/news/2025-06-theory-dimensions-space-secondary-effect.html#google_vignette

Novel insight into centre-vortex geometry in four dimensions
Jackson A. Mickley, Chris Allton, Ryan Bignell, Derek B. Leinweber
https://arxiv.org/abs/2507.17200 https://

Novel insight into centre-vortex geometry in four dimensions
Centre-vortex surfaces are mapped out in four dimensions within the framework of SU(3) lattice gauge theory to understand the role of secondary loops that develop in three-dimensional visualisations of centre-vortex structure, appearing separate from the percolating cluster. Loops that initially appear disconnected in three-dimensional slices can originate from the same connected surface in four dimensions depending on the surface's curvature. For the first time, these secondary loops are ident…

Normally hyperbolic limit tori near monodromic singularities in 3D polynomial vector fields
Lucas Queiroz Arakaki, Luiz F. S. Gouveia, Douglas D. Novaes
https://arxiv.org/abs/2507.17932

Normally hyperbolic limit tori near monodromic singularities in 3D polynomial vector fields
We investigate the maximal number $N_h(m)$ of normally hyperbolic limit tori in three-dimensional polynomial vector fields of degree $m$, which extends the classical notion of Hilbert numbers to higher dimensions. Using recent developments in averaging theory, we show the existence of families of vector fields near monodromic singularities, including both Hopf-zero and nilpotent-zero cases, that exhibit multiple nested normally hyperbolic limit tori. This approach allows us to establish improve…

Quenched scaling limit for biased random walks on random, heavy tailed conductances: low dimensions
Umberto De Ambroggio, Carlo Scali
https://arxiv.org/abs/2507.17583 https://…

Quenched scaling limit for biased random walks on random, heavy tailed conductances: low dimensions
We consider a random walk amongst positive random conductances on $\mathbb{Z}^d, d \ge 2$, with directional bias. When the conductances have a stable distribution with parameter $γ\in (0, 1)$, the walk is sub-ballistic. In this regime Fribergh and Kious (Ann. Prob. 2018) derived an annealed scaling limit for the appropriately rescaled walk towards the Fractional Kinetics process. We prove the quenched version of this result for all $d \ge 2$.

Fractality of Wireless Mesh Networks: Dimensional Effects on Network Performance
Marat Zaidyn, Sayat Akhtanov, Dana Turlykozhayeva, Symbat Temesheva, Almat Akhmetali, Alisher Skabylov, Nurzhan Ussipov
https://arxiv.org/abs/2506.19366

Fractality of Wireless Mesh Networks: Dimensional Effects on Network Performance
Wireless mesh networks (WMNs) depend on the spatial distribution of nodes, which directly influences connectivity, routing efficiency, and overall network performance. Conventional models typically assume uniform or random node placement, which inadequately represent the complex, hierarchical spatial patterns observed in practical deployments. In this study, we present a novel algorithm that constructs WMN topologies with tunable fractal dimensions, allowing precise control over spatial self-si…

The 4th Dimension for Scaling Model Size
Ruike Zhu, Hanwen Zhang, Tianyu Shi, Chi Wang, Tianyi Zhou, Zengyi Qin
https://arxiv.org/abs/2506.18233 https://…

The 4th Dimension for Scaling Model Size
Scaling the size of large language models typically involves three dimensions: depth, width, and the number of parameters. In this work, we explore a fourth dimension, virtual logical depth (VLD), which increases the effective algorithmic depth without changing the overall parameter count by reusing parameters within the model. Although parameter reuse is not a new concept, its potential and characteristics in model scaling have not been thoroughly studied. Through carefully designed controlled…

Designing Value-Aligned Traffic Agents through Conflict Sensitivity
Astrid Rakow, Joe Collenette, Maike Schwammberger, Marija Slavkovik, Gleifer Vs Alves
https://arxiv.org/abs/2507.18284

Designing Value-Aligned Traffic Agents through Conflict Sensitivity
Autonomous traffic agents (ATAs) are expected to act in ways tat are not only safe, but also aligned with stakeholder values across legal, social, and moral dimensions. In this paper, we adopt an established formal model of conflict from epistemic game theory to support the development of such agents. We focus on value conflicts-situations in which agents face competing goals rooted in value-laden situations and show how conflict analysis can inform key phases of the design process. This includ…

LSD of sample covariances of superposition of matrices with separable covariance structure
Javed Hazarika, Debashis Paul
https://arxiv.org/abs/2507.18505 https://

LSD of sample covariances of superposition of matrices with separable covariance structure
We study the asymptotic behavior of the spectra of matrices of the form $S_n = \frac{1}{n}XX^*$ where $X =\sum_{r=1}^K X_r$, where $X_r = A_r^\frac{1}{2}Z_rB_r^\frac{1}{2}$, $K \in \mathbb{N}$ and $A_r,B_r$ are sequences of positive semi-definite matrices of dimensions $p\times p$ and $n\times n$, respectively. We establish the existence of a limiting spectral distribution for $S_n$ by assuming that matrices $\{A_r\}_{r=1}^K$ are simultaneously diagonalizable and $\{B_r\}_{r=1}^K$ are simultane…

Selective Densification for Rapid Motion Planning in High Dimensions with Narrow Passages
Lu Huang, Lingxiao Meng, Jiankun Wang, Xingjian Jing
https://arxiv.org/abs/2507.15710

Selective Densification for Rapid Motion Planning in High Dimensions with Narrow Passages
Sampling-based algorithms are widely used for motion planning in high-dimensional configuration spaces. However, due to low sampling efficiency, their performance often diminishes in complex configuration spaces with narrow corridors. Existing approaches address this issue using handcrafted or learned heuristics to guide sampling toward useful regions. Unfortunately, these strategies often lack generalizability to various problems or require extensive prior training. In this paper, we propose a…

Two-Timescale Dynamic Service Deployment and Task Scheduling with Spatiotemporal Collaboration in Mobile Edge Networks
Yang Li, Xing Zhang, Yunji Zhao, Wenbo Wang
https://arxiv.org/abs/2508.16293

Two-Timescale Dynamic Service Deployment and Task Scheduling with Spatiotemporal Collaboration in Mobile Edge Networks
Collaborative edge computing addresses the resource constraints of individual edge nodes by enabling resource sharing and task co-processing across multiple nodes. To fully leverage the advantages of collaborative edge computing, joint optimization of service deployment and task scheduling is necessary. Existing optimization methods insufficiently address the collaboration across spatial and temporal dimensions, which hinders their adaptability to the spatiotemporally varying nature of user dem…

Achieving broadband directivity control with dual corona discharge transducers
H. Lissek, R. Vesal
https://arxiv.org/abs/2508.18232 https://arxiv.org/pdf/2…

Achieving broadband directivity control with dual corona discharge transducers
Loudspeakers inherit their directivity from their geometry and dimensions. Enclosed loudspeakers are omnidirectional in the low frequency range, but their directivity depends on frequency for wavelengths smaller than the radiator size, precluding the directional control over the whole bandwidth. Loudspeakers pairs allow achieving simultaneously monopolar (in-phase) and dipolar (out-of-phase) sources, thus allowing directivity control. However, they are limited by their bulkiness, preventing ext…

Endpoint estimates for the fractal circular maximal function and related local smoothing
Sanghyuk Lee, Luz Roncal, Feng Zhang, Shuijiang Zhao
https://arxiv.org/abs/2506.20390

Endpoint estimates for the fractal circular maximal function and related local smoothing
Sharp $L^p$--$L^q$ estimates for the spherical maximal function over dilation sets of fractal dimensions, including the endpoint estimates, were recently proved by Anderson--Hughes--Roos--Seeger. More intricate $L^p$--$L^q$ estimates for the fractal circular maximal function were later established in the sharp range by Roos--Seeger, but the endpoint estimates have been left open, particularly when the fractal dimension of the dilation set lies in $[1/2, 1)$. In this work, we prove these missing…

Entanglement Detection with Quantum-inspired Kernels and SVMs
Ana Mart\'inez-Sabiote, Michalis Skotiniotis, Jara J. Bermejo-Vega, Daniel Manzano, Carlos Cano
https://arxiv.org/abs/2508.17909

Entanglement Detection with Quantum-inspired Kernels and SVMs
This work presents a machine learning approach based on support vector machines (SVMs) for quantum entanglement detection. Particularly, we focus in bipartite systems of dimensions 3x3, 4x4, and 5x5, where the positive partial transpose criterion (PPT) provides only partial characterization. Using SVMs with quantum-inspired kernels we develop a classification scheme that distinguishes between separable states, PPT-detectable entangled states, and entangled states that evade PPT detection. Our m…

On Growth of Sobolev norms for cubic Schr\"odinger equation with harmonic potential in dimensions $d=2,3$
Yilin Song, Ruixiao Zhang, Jiqiang Zheng
https://arxiv.org/abs/2506.17731

On Growth of Sobolev norms for cubic Schrödinger equation with harmonic potential in dimensions $d=2,3$
In this article, we study the growth of higher-order Sobolev norms for solutions to the defocusing cubic nonlinear Schrödinger equation with harmonic potential in dimensions $d=2,3$, \begin{align}\label{PNLS} \begin{cases}\tag{PNLS} i\partial_tu-Hu=|u|^{2}u,&(t,x)\in\mathbb{R}\times\mathbb{R}^d,\\ u(0,x)=u_0(x), \end{cases} \end{align} where $H=-Δ+|x|^2$. Motivated by Planchon-Tzvetkov-Visciglia [Rev. Mat. Iberoam., 39 (2023), 1405-1436], we first establish the bilinear St…

The essential and the Cremona dimensions of a group
Igor Dolgachev
https://arxiv.org/abs/2507.15096 https://arxiv.org/pdf/2507.15096

The essential and the Cremona dimensions of a group
The Cremona dimension of a group $G$ is the minimal $n$ such that $G$ is isomorphic to a subgroup of the Cremona group of birational transformations of an $n$-dimensional rational variety. In this survey article, we give many examples that gives evidence to the conjecture that the Cremona dimension of a finite group over the field of complex numbers is less than or equal to the essential dimension of the group.

Hidden Bose-Einstein Singularities in Correlated Electron Systems: III. Thermodynamic Signals
Takafumi Kita
https://arxiv.org/abs/2506.19211 https://

Hidden Bose-Einstein Singularities in Correlated Electron Systems: III. Thermodynamic Signals
We study thermodynamic consequences of the hidden Bose-Einstein singularities, which have been predicted to cause a pseudogap phase, based on quantum field theory of ordered phases. Starting from the Luttinger-Ward functional for the grand thermodynamic potential, we derive expressions of the Helmholtz free energy, internal energy, entropy, and heat capacity in a form suitable for numerical studies. They are applied to the weakly attractive Hubbard model in three dimensions to calculate the the…

On a multivariate extension for Copula-based Conditional Value at Risk
Andres Mauricio Molina Barreto
https://arxiv.org/abs/2508.16132 https://arxiv.org/pd…

On a multivariate extension for Copula-based Conditional Value at Risk
Copula-based Conditional Value at Risk (CCVaR) is defined as an alternative version of the classical Conditional Value at Risk (CVaR) for multivariate random vectors intended to be real-valued. We aim to generalize CCVaR to several dimensions (d>=2) when the dependence structure is given by an Archimedean copula. While previous research focused on the bivariate case, leaving the multivariate version unexplored, an almost closed-form expression for CCVaR under an Archimedean copula is derived. T…

Strategic Integration of AI Chatbots in Physics Teacher Preparation: A TPACK-SWOT Analysis of Pedagogical, Epistemic, and Cybersecurity Dimensions
N. Mohammadipour
https://arxiv.org/abs/2507.14860

Strategic Integration of AI Chatbots in Physics Teacher Preparation: A TPACK-SWOT Analysis of Pedagogical, Epistemic, and Cybersecurity Dimensions
This study investigates the strategic and epistemically responsible integration of AI-powered chatbots into physics teacher education by employing a TPACK-guided SWOT framework across three structured learning activities. Conducted within a university-level capstone course on innovative tools for physics instruction, the activities targeted key intersections of technological, pedagogical, and content knowledge (TPACK) through chatbot-assisted tasks: simplifying abstract physics concepts, constr…

Mean first passage time of active Brownian particles in two dimensions
Sarafa A. Iyaniwura, Zhiwei Peng
https://arxiv.org/abs/2506.15813 https://

Mean first passage time of active Brownian particles in two dimensions
The mean first passage time (MFPT) is a key metric for understanding transport, search, and escape processes in stochastic systems. While well characterized for passive Brownian particles, its behavior in active systems-such as active Brownian particles (ABPs)-remains less understood due to their self-propelled, nonequilibrium dynamics. In this paper, we formulate and analyze an elliptic partial differential equation (PDE) to characterize the MFPT of ABPs in two-dimensional domains, including c…

On the capacity dimensions of the Brjuno and Perez-Marco sets
Nurali Akramov, Abduvahhob Ashirov
https://arxiv.org/abs/2507.15980 https://

On the capacity dimensions of the Brjuno and Perez-Marco sets
In this work, we prove that the complement of the Brjuno set $\mathcal{B}$ has a zero capacity with respect to the kernel $k^1_σ(z,ξ)=\ln^2{|z-ξ|}\left|\ln{\ln{\left(e+\frac{1}{|z-ξ|}\right)}}\right|^σ$ for any $σ> 2$. Similarly, the complement of the Perez-Marco set $\mathcal{PM}$ has a zero capacity with respect to the kernel $k^2_σ(z,ξ) = \ln^{2}{\ln\left(e+\frac{1} {\left| {z - ξ}\right|}\right)} \cdot\ln^σ{\ln\ln\left(e^3+\frac{1} {\left
…

Go Green Without the Mafia! Dissolution of Infiltrated City Councils and Environmental Policy
Andrea Mario Lavezzi, Marco Quatrosi
https://arxiv.org/abs/2507.18410 https://

Go Green Without the Mafia! Dissolution of Infiltrated City Councils and Environmental Policy
In this article, we study the effects of organized crime infiltration in city councils on environmental policies implemented in Italy at the municipal level. To this purpose, we exploit the exogenous shock of the removal of a city council infiltrated by the mafia and its substitution with an external Commission, allowed in Italy by the law 164/1991. Our results suggest that after dissolution, environmental policies improve in several dimensions: the capital expenditure for sustainable developme…

Crosslisted article(s) found for hep-th. https://arxiv.org/list/hep-th/new
[1/2]:
- Stable models in lower dimensions within the quadratic form of the non-metricity theory
G. G. L. Nashed, Salvatore Capozziello

Speech Enhancement with Dual-path Multi-Channel Linear Prediction Filter and Multi-norm Beamforming
Chengyuan Qin, Wenmeng Xiong, Jing Zhou, Maoshen Jia, Changchun Bao
https://arxiv.org/abs/2507.18350 …

Speech Enhancement with Dual-path Multi-Channel Linear Prediction Filter and Multi-norm Beamforming
In this paper, we propose a speech enhancement method us ing dual-path Multi-Channel Linear Prediction (MCLP) filters and multi-norm beamforming. Specifically, the MCLP part in the proposed method is designed with dual-path filters in both time and frequency dimensions. For the beamforming part, we minimize the power of the microphone array output as well as the l1 norm of the denoised signals while preserving source sig nals from the target directions. An efficient method to select t…

Synchronization of Dirac-Bianconi driven oscillators
Riccardo Muolo, Iv\'an Le\'on, Yuzuru Kato, Hiroya Nakao
https://arxiv.org/abs/2506.20163 http…

Synchronization of Dirac-Bianconi driven oscillators
In dynamical systems on networks, one assigns the dynamics to nodes, which are then coupled via links. This approach does not account for group interactions and dynamics on links and other higher dimensional structures. Higher-order network theory addresses this by considering variables defined on nodes, links, triangles, and higher-order simplices, called topological signals (or cochains). Moreover, topological signals of different dimensions can interact through the Dirac-Bianconi operator, w…

Fractal dimensions of complex networks: advocating for a topological approach
Rayna Andreeva, Hayde\'e Contreras-Peruyero, Sanjukta Krishnagopal, Nina Otter, Maria Antonietta Pascali, Elizabeth Thompson
https://arxiv.org/abs/2506.15236

Fractal dimensions of complex networks: advocating for a topological approach
Topological Data Analysis (TDA) uses insights from topology to create representations of data able to capture global and local geometric and topological properties. Its methods have successfully been used to develop estimations of fractal dimensions for metric spaces that have been shown to outperform existing techniques. In a parallel line of work, networks are ubiquitously used to model a variety of complex systems. Higher-order interactions, i.e., simultaneous interactions between more than …

Quasi-homological dimensions with respect to semidualizing modules
Souvik Dey, Luigi Ferraro, Mohsen Gheibi
https://arxiv.org/abs/2508.15064 https://arxiv.…

Quasi-homological dimensions with respect to semidualizing modules
Gheibi, Jorgensen and Takahashi recently introduced the quasi-projective dimension of a module over commutative Noetherian rings, a homological invariant extending the classic projective dimension of a module, and Gheibi later developed the dual notion of quasi-injective dimension. Takahashi and White in 2010 introduced the projective and injective dimension of a module with respect to a semidualizing module, which likewise generalize their classic counterparts. In this paper we unify and exten…

Thermal modifications of mesons and energy-energy correlators from real-time simulations of a $U(1)$ lattice gauge theory
Jo\~ao Barata, David Frenklakh, Swagato Mukherjee
https://arxiv.org/abs/2507.16890

Thermal modifications of mesons and energy-energy correlators from real-time simulations of a $U(1)$ lattice gauge theory
We investigate thermal properties of a $U(1)$ lattice gauge theory in $1+1$-dimensions through real-time simulations. We extract the spectral functions directly coupling to the pseudoscalar and scalar mesons, demonstrating the thermal modifications of these states with increasing temperatures. Introducing the notion of energy-flow operators, we quantify the temporal build-up of correlations in the energy flows across the lattice. We demonstrate that energy-energy correlators fail to factorize t…

TMA-Adaptive FP8 Grouped GEMM: Eliminating Padding Requirements in Low-Precision Training and Inference on Hopper
Zhongling Su, Rong Fu, Weihan Cao, Jianfei Gao, Minxi Jin, Zhilin Pei, Hui Wang
https://arxiv.org/abs/2508.16584

TMA-Adaptive FP8 Grouped GEMM: Eliminating Padding Requirements in Low-Precision Training and Inference on Hopper
Current FP8 grouped GEMM implementations require padding each group to a fixed alignment (e.g., 128), incurring memory and computational overhead. We propose \textit{TMA-Adaptive FP8 Grouped GEMM}, which eliminates padding by dynamically adapting to variable group dimensions via (1) a TMA descriptor pool with $\log_2(block_M)$ preconfigured descriptors to handle all residual row cases through dynamic runtime selection and dual-phase load-store operations, achieving comprehensive coverage with m…

BoSS: Beyond-Semantic Speech
Qing Wang, Zehan Li, Hang Lv, Hongjie Chen, Yaodong Song, Jian Kang, Jie Lian, Jie Li, Yongxiang Li, Zhongjiang He, Xuelong Li
https://arxiv.org/abs/2507.17563

BoSS: Beyond-Semantic Speech
Human communication involves more than explicit semantics, with implicit signals and contextual cues playing a critical role in shaping meaning. However, modern speech technologies, such as Automatic Speech Recognition (ASR) and Text-to-Speech (TTS) often fail to capture these beyond-semantic dimensions. To better characterize and benchmark the progression of speech intelligence, we introduce Spoken Interaction System Capability Levels (L1-L5), a hierarchical framework illustrated the evolution…

A predictor-corrector scheme for approximating signed distances using finite element methods
Amina El Bachari, Johann Rannou, Vladislav A. Yastrebov, Pierre Kerfriden, Susanne Claus
https://arxiv.org/abs/2506.17830

A predictor-corrector scheme for approximating signed distances using finite element methods
In this article, we introduce a finite element method designed for the robust computation of approximate signed distance functions to arbitrary boundaries in two and three dimensions. Our method employs a novel prediction-correction approach, involving first the solution of a linear diffusion-based prediction problem, followed by a nonlinear minimization-based correction problem associated with the Eikonal equation. The prediction step efficiently generates a suitable initial guess, significant…

Static Analysis as a Feedback Loop: Enhancing LLM-Generated Code Beyond Correctness
Scott Blyth, Sherlock A. Licorish, Christoph Treude, Markus Wagner
https://arxiv.org/abs/2508.14419

Static Analysis as a Feedback Loop: Enhancing LLM-Generated Code Beyond Correctness
Large language models (LLMs) have demonstrated impressive capabilities in code generation, achieving high scores on benchmarks such as HumanEval and MBPP. However, these benchmarks primarily assess functional correctness and neglect broader dimensions of code quality, including security, reliability, readability, and maintainability. In this work, we systematically evaluate the ability of LLMs to generate high-quality code across multiple dimensions using the PythonSecurityEval benchmark. We in…

Improving the Generation of VAEs with High Dimensional Latent Spaces by the use of Hyperspherical Coordinates
Alejandro Ascarate, Leo Lebrat, Rodrigo Santa Cruz, Clinton Fookes, Olivier Salvado
https://arxiv.org/abs/2507.15900

Improving the Generation of VAEs with High Dimensional Latent Spaces by the use of Hyperspherical Coordinates
Variational autoencoders (VAE) encode data into lower-dimensional latent vectors before decoding those vectors back to data. Once trained, decoding a random latent vector from the prior usually does not produce meaningful data, at least when the latent space has more than a dozen dimensions. In this paper, we investigate this issue by drawing insight from high dimensional statistics: in these regimes, the latent vectors of a standard VAE are by construction distributed uniformly on a hyperspher…

Clustering Tails in High Dimension
Liujun Chen, Marco Oesting, Chen Zhou
https://arxiv.org/abs/2506.19414 https://arxiv.org/pdf/2506.…

Clustering Tails in High Dimension
One potential solution to combat the scarcity of tail observations in extreme value analysis is to integrate information from multiple datasets sharing similar tail properties, for instance, a common extreme value index. In other words, for a multivariate dataset, we intend to group dimensions into clusters first, before applying any pooling techniques. This paper addresses the clustering problem for a high dimensional dataset, according to their extreme value indices. We propose an iterative…

Dimensions of compositions modulo a prime
Jia Huang
https://arxiv.org/abs/2506.16953 https://arxiv.org/pdf/2506.16953

Dimensions of compositions modulo a prime
The (ordinary) representation theory of the symmetric group is fascinating and has rich connections to combinatorics, including the Frobenius correspondence to the self-dual graded Hopf algebra of symmetric functions. The $0$-Hecke algebra (of type $A$) is a deformation of the group algebra of the symmetric group, and its representation theory has an analogous correspondence to the dual graded Hopf algebras of quasisymmetric functions and noncommutative symmetric functions. Macdonald used the h…

Replaced article(s) found for cond-mat.stat-mech. https://arxiv.org/list/cond-mat.stat-mech/new
[1/1]:
- Critical Motility-Induced Phase Separation in Three Dimensions is Consistent with Ising Universality
Jiechao Feng, Daniel Evans, Ahmad K. Omar

Ground and low-lying excited state potential energy surfaces of diiodomethane in four dimensions
Yijue Ding
https://arxiv.org/abs/2508.14843 https://arxiv.…

Ground and low-lying excited state potential energy surfaces of diiodomethane in four dimensions
We report a set of adiabatic potential energy surfaces (PESs) for diiodomethane, including the ground electronic state and all excited states accessible via single-photon absorption near 260 nm. Although constrained to four dimensions, these PESs capture the essential photochemical processes following photoexcitation--namely, bond breaking and rearrangement among the methyl radical and the two iodine atoms. Constructed using an accurate and efficient spline interpolation algorithm, the PESs rep…

Emergent statistical mechanics in holographic random tensor networks
Shozab Qasim, Jens Eisert, Alexander Jahn
https://arxiv.org/abs/2508.16570 https://arx…

Emergent statistical mechanics in holographic random tensor networks
Recent years have enjoyed substantial progress in capturing properties of complex quantum systems by means of random tensor networks (RTNs), which form ensembles of quantum states that depend only on the tensor network geometry and bond dimensions. Of particular interest are RTNs on hyperbolic geometries, with local tensors typically chosen from the unitary Haar measure, that model critical boundary states of holographic bulk-boundary dualities. In this work, we elevate static pictures of ensem…

Mapping the Evolution of Research Contributions using KnoVo
Sajratul Y. Rubaiat, Syed N. Sakib, Hasan M. Jamil
https://arxiv.org/abs/2506.17508 https://

Mapping the Evolution of Research Contributions using KnoVo
This paper presents KnoVo (Knowledge Evolution), an intelligent framework designed for quantifying and analyzing the evolution of research novelty in the scientific literature. Moving beyond traditional citation analysis, which primarily measures impact, KnoVo determines a paper's novelty relative to both prior and subsequent work within its multilayered citation network. Given a target paper's abstract, KnoVo utilizes Large Language Models (LLMs) to dynamically extract dimensions of comparison…

Current Galactic Chemical Evolution models fail to explain rising Na-abundances of young thick disc stars
E. K. Owusu (School of Science, University of New South Wales Canberra, Australia Defence Force Academy, Australia, ARC Centre of Excellence for All-Sky Astrophysics in 3 Dimensions, Max-Planck-Institut f\"ur Astronomie, Heidelberg, Germany, Heidelberger Institut f\"ur Theoretische Studien, Heidelberg, Germany), A. J. Ruiter (School of Science, University of New South Wal…

Current Galactic Chemical Evolution models fail to explain rising Na-abundances of young thick disc stars
We recently identified an upturn in [Na/Fe] for the population of Solar-type stars in the Galactic thick disc ($-0.3 < [\mathrm{Fe/H}] < +0.3$ dex) at super-Solar metallicity in GALactic Archaeology with HERMES (GALAH) data. Here, we investigate the cause of this unexplained Na enrichment between ([Fe/H] $\sim 0 - 0.6$ dex) using the OMEGA$+$ galactic chemical evolution code. We investigate the increase of [Na/Fe] with four combinations of nucleosynthetic yields from the literature, with source…

PRISON: Unmasking the Criminal Potential of Large Language Models
Xinyi Wu, Geng Hong, Pei Chen, Yueyue Chen, Xudong Pan, Min Yang
https://arxiv.org/abs/2506.16150

PRISON: Unmasking the Criminal Potential of Large Language Models
As large language models (LLMs) advance, concerns about their misconduct in complex social contexts intensify. Existing research overlooked the systematic understanding and assessment of their criminal capability in realistic interactions. We propose a unified framework PRISON, to quantify LLMs' criminal potential across five dimensions: False Statements, Frame-Up, Psychological Manipulation, Emotional Disguise, and Moral Disengagement. Using structured crime scenarios adapted from classic film…

An Observation on Lloyd's k-Means Algorithm in High Dimensions
David Silva-S\'anchez, Roy R. Lederman
https://arxiv.org/abs/2506.14952 https://

An Observation on Lloyd's k-Means Algorithm in High Dimensions
Clustering and estimating cluster means are core problems in statistics and machine learning, with k-means and Expectation Maximization (EM) being two widely used algorithms. In this work, we provide a theoretical explanation for the failure of k-means in high-dimensional settings with high noise and limited sample sizes, using a simple Gaussian Mixture Model (GMM). We identify regimes where, with high probability, almost every partition of the data becomes a fixed point of the k-means algorith…

Isotopy versus equivariant isotopy in dimensions three and higher
Trent Lucas
https://arxiv.org/abs/2508.11104 https://arxiv.org/pdf/2508.11104

Isotopy versus equivariant isotopy in dimensions three and higher
Given a finite group action on a smooth manifold, we study the following question: if two equivariant diffeomorphisms are isotopic, must they be equivariantly isotopic? Birman-Hilden and Maclachlan-Harvey proved the answer is "yes" for most surfaces. By contrast, we give a general criterion in higher dimensions under which there are many equivariant diffeomorphisms which are isotopic but not equivariantly isotopic. Examples satisfying this criterion include branched covers of split links and "s…

Floer homotopy theory for monotone Lagrangians
Ciprian Mircea Bonciocat
https://arxiv.org/abs/2506.17431 https://arxiv.org/pdf/2506.1…

Floer homotopy theory for monotone Lagrangians
We circumvent one of the roadblocks in associating Floer homotopy types to monotone Lagrangians, namely the curvature phenomena occurring in high dimensions. Given $N \ge 3$ and $R$ a connective $\mathbb E_1$-ring spectrum, there is a notion of an $N$-truncated, $R$-oriented flow category, to which we associate a module prospectrum over the Postnikov truncation $τ_{\le N - 3}R$. This endows ordinary Floer cohomology with an action of the Steenrod algebra over $τ_{\le N-3}R$, and also induces …

Spatial mapping and tuning of terahertz modes in a silicon whispering gallery mode resonator
Anna R. Petersen, Pablo Paulsen, Florian Sedlmeir, Nicholas J. Lambert, Harald G. L. Schwefel, Mallika Irene Suresh
https://arxiv.org/abs/2506.17257

Spatial mapping and tuning of terahertz modes in a silicon whispering gallery mode resonator
Identification and subsequent manipulation of resonant modes typically relies on comparison with calculations which require precise knowledge of material parameters and dimensions. For millimetre-sized resonators that support millimetre-wave modes, this is particularly challenging due to the poorly determined physical parameters and additional perturbative effects of nearby dielectric or metallic substrates in experimental setups. Here, we use perturbation from a metal needle to experimentally …

Integrable spin chains in twisted maximally supersymmetric Yang-Mills theory
Tim Meier, Stijn J. van Tongeren
https://arxiv.org/abs/2507.18626 https://arxi…

Integrable spin chains in twisted maximally supersymmetric Yang-Mills theory
We study an angular dipole deformation of maximally supersymmetric Yang-Mills theory (SYM) that preserves its classical scale invariance. We show that two-point functions of suitable single trace operators, restricted to an invariant plane, are determined by scaling dimensions computable from an integrable spin chain. This spin chain is a diagonally twisted version of the famous integrable spin chain of SYM. It matches expectations from the dual string theory perfectly, presenting a precision t…

Quasibound states of massive charged scalars around dilaton black holes in $2 1$ dimensions: Exact frequencies
H. S. Vieira
https://arxiv.org/abs/2506.18740

Quasibound states of massive charged scalars around dilaton black holes in $2+1$ dimensions: Exact frequencies
In this work, we investigate massive charged scalar perturbations in the background of three-dimensional dilaton black holes with a cosmological constant. We demonstrate that the wave equations governing the dynamics of these perturbations are exactly solvable, with the radial part expressible in terms of confluent Heun functions. The quasibound state frequencies are computed analytically, and we examine their dependence on the scalar field's mass and charge, as well as on the black hole's mass…

Replaced article(s) found for math.FA. https://arxiv.org/list/math.FA/new
[1/1]:
- On Mahler's conjecture for even s-concave functions in dimensions 1 and 2
Matthieu Fradelizi, Elie Nakhle

Multi-mode feedback cooling of the collective modes of a Bose-Einstein condensate
Ryan J. Thomas, Jordan A. McMahon, Zain Mehdi, Stuart S. Szigeti, Simon A. Haine, Samuel Legge, John D. Close, Joseph J. Hope
https://arxiv.org/abs/2506.19739

Multi-mode feedback cooling of the collective modes of a Bose-Einstein condensate
We experimentally demonstrate cavity-free feedback cooling of the three lowest-lying collective modes of a Bose-Einstein condensate in a prolate harmonic trap. Using shadowgraph imaging as an \textit{in situ} probe of the atomic density, we measure the time-dependent centers-of-mass and widths of the condensate in two dimensions and use these measurements to damp oscillations in the two visible dipole modes and the low-frequency quadrupole mode. By inducing oscillations in the condensate, we sh…

Ties, Tails and Spectra: On Rank-Based Dependency Measures in High Dimensions
Nina D\"ornemann, Michael Fleermann, Johannes Heiny
https://arxiv.org/abs/2508.14992 https://

Ties, Tails and Spectra: On Rank-Based Dependency Measures in High Dimensions
This work is concerned with the limiting spectral distribution of rank-based dependency measures in high dimensions. We provide distribution-free results for multivariate empirical versions of Kendall's $τ$ and Spearman's $ρ$ in a setting where the dimension $p$ grows at most proportionally to the sample size $n$. Although rank-based measures are known to be well suited for discrete and heavy-tailed data, previous works in the field focused mostly on the continuous and light-tailed case. We c…

Precision optomechanical accelerometer via hybrid test mass integration
Nathaniel Bawden, Benjamin J. Carey, Poh-Meng Yeo, Nishta Arora, Leo Sementilli, Victor M. Valenzuela, Erick Romero, Glen I. Harris, Margaret Wegener, Warwick P. Bowen
https://arxiv.org/abs/2508.16088

Precision optomechanical accelerometer via hybrid test mass integration
Accelerometers offer motion sensing capabilities across a wide range of areas, enabling navigational awareness in consumer goods and defense applications, and playing a key role in monitoring and control systems. To date, on-chip accelerometers have largely utilized a single device layer or substrate as a test mass. This constrains the test mass to the dimensions and density of the device layer or substrate, ultimately limiting the sensitivity of the device. We demonstrate a new approach which …

Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem
David Lee
https://arxiv.org/abs/2506.20121 https://

Fundamental Solutions of the Logarithmic Laplacian: An Approach via the Division Problem
Existence of the fundamental solution of the logarithmic Laplacian (in dimensions $d \geq 3$) was established by Huyuan Chen and Laurent Véron (2024). In this note, we present an alternative approach, based on a modification on the classical division problem. This is inspired by the theory of fundamental solutions by Malgrange and Ehrenpreis. Moreover, we give a variant of the Liouville theorem for the logarithmic Laplacian and give some further clarification regarding a conjecture posed by Ch…

Replaced article(s) found for math.AG. https://arxiv.org/list/math.AG/new
[2/2]:
- Curvature, macroscopic dimensions, and symmetric products of surfaces
Luca F. Di Cerbo, Alexander Dranishnikov, Ekansh Jauhari

Higher co-dimension de Sitter branes
Florian Niedermann, Antonio Padilla
https://arxiv.org/abs/2506.19515 https://arxiv.org/pdf/2506.…

Higher co-dimension de Sitter branes
We extend the arguments of Maldacena and Núñez to include higher co-dimension brane setups and derive a new no-go theorem. Specifically, we show that under reasonable assumptions on the energy-momentum conservation and the bulk curvature, co-dimension-two branes fail to support stable de Sitter solutions. For co-dimensions higher than two embedded in a compact internal space, we show that negative tension sources would be required. This result places strong constraints on the viability of hig…

A Grassroots Network and Community Roadmap for Interconnected Autonomous Science Laboratories for Accelerated Discovery
Rafael Ferreira da Silva, Milad Abolhasani, Dionysios A. Antonopoulos, Laura Biven, Ryan Coffee, Ian T. Foster, Leslie Hamilton, Shantenu Jha, Theresa Mayer, Benjamin Mintz, Robert G. Moore, Salahudin Nimer, Noah Paulson, Woong Shin, Frederic Suter, Mitra Taheri, Michela Taufer, Newell R. Washburn

A Grassroots Network and Community Roadmap for Interconnected Autonomous Science Laboratories for Accelerated Discovery
Scientific discovery is being revolutionized by AI and autonomous systems, yet current autonomous laboratories remain isolated islands unable to collaborate across institutions. We present the Autonomous Interconnected Science Lab Ecosystem (AISLE), a grassroots network transforming fragmented capabilities into a unified system that shorten the path from ideation to innovation to impact and accelerates discovery from decades to months. AISLE addresses five critical dimensions: (1) cross-institu…

Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime
Xinliang An, Taoran He, Dawei Shen
https://arxiv.org/abs/2507.18585

Stability of Big Bang singularity for the Einstein-Maxwell-scalar field-Vlasov system in the full strong sub-critical regime
In $3+1$ dimensions, we study the stability of Kasner solutions for the Einstein-Maxwell-scalar field-Vlasov system. This system incorporates gravity, electromagnetic, weak and strong interactions for the initial stage of our universe. Due to the presence of the Vlasov field, various new challenges arise. By observing detailed mathematical structures and designing new delicate arguments, we identify a new strong sub-critical regime and prove the nonlinear stability with Kasner exponents lying i…

Universal and Efficient Quantum State Verification via Schmidt Decomposition and Mutually Unbiased Bases
Yunting Li, Huangjun Zhu
https://arxiv.org/abs/2506.19809

Universal and Efficient Quantum State Verification via Schmidt Decomposition and Mutually Unbiased Bases
Efficient verification of multipartite quantum states is crucial to many applications in quantum information processing. By virtue of Schmidt decomposition and mutually unbiased bases, here we propose a universal protocol to verify arbitrary multipartite pure quantum states using adaptive local projective measurements. Moreover, we establish a universal upper bound on the sample complexity that is independent of the local dimensions. Numerical calculations further indicate that Haar-random pure…

Some results on Lower Assouad and quantization dimensions
Saurabh Verma, Ekta Agrawal, Shivam Dubey
https://arxiv.org/abs/2508.15282 https://arxiv.org/pdf/…

Some results on Lower Assouad and quantization dimensions
In this paper, we first show that the collection of all subsets of \( \mathbb{R} \) having lower dimension \( γ\in [0,1] \) is dense in \( Π(\mathbb{R}) \), the space of compact subsets of \( \mathbb{R} \). Furthermore, we show that the set of Borel probability measures with lower dimension \( β\in [0, m] \) is dense in \( Ω(\mathbb{R}^m) \), the space of Borel probability measures on \( \mathbb{R}^m \). We also prove that the quantization and the lower dimension of a measure \( \vartheta \…

Measuring Fractal Dimension using Discrete Global Grid Systems
Pramit Ghosh
https://arxiv.org/abs/2506.18175 https://arxiv.org/pdf/25…

Measuring Fractal Dimension using Discrete Global Grid Systems
This study builds a bridge between two well-studied but distant topics: fractal dimension and Discrete Global Grid System (DGGS). DGGSs are used as covering sets for geospatial vector data to calculate the Minkowski-Bouligand dimension. Using the method on synthetic data yields results within 1% of their theoretical fractal dimensions. A case study on opaque cloud fields obtained from satellite images gives fractal dimension in agreement with that available in the literature. The proposed metho…

Neutrino Portal to Extra Dimensions: Unified Origin of Dark Radiation, Dark Matter, and Neutrino Decay
Arnab Chaudhuri
https://arxiv.org/abs/2506.15485 htt…

Neutrino Portal to Extra Dimensions: Unified Origin of Dark Radiation, Dark Matter, and Neutrino Decay
We propose a unified framework based on sterile neutrinos propagating in large extra dimensions (LED) and coupled to a pseudo-Nambu-Goldstone boson (Majoron) arising from spontaneous lepton number violation. In this setup, the lightest Kaluza-Klein (KK) sterile neutrino serves as warm dark matter, higher KK modes decay invisibly producing a relativistic Majoron contributing to the effective number of neutrino species (Delta Neff), and active neutrinos undergo invisible decay. This model address…

Local (Outer) Multiset Dimensions of Graphs
Rinovia Simanjuntak, M. Ali Hasan, Muhung Anggarawan
https://arxiv.org/abs/2507.15071 https://

Local (Outer) Multiset Dimensions of Graphs
Let $G$ be a finite, connected, undirected, and simple graph and $W$ be a set of vertices in $G$. A representation multiset of a vertex $u$ in $V(G)$ with respect to $W$ is defined as the multiset of distances between $u$ and the vertices in $W$. If every two adjacent vertices in $V(G)$ have a distinct multiset representation, the set $W$ is called a local multiset resolving set of $G$. If $G$ has a local multiset resolving set, then this set with the smallest cardinality is called the local mu…

Fast solvers for the high-order FEM simplicial de Rham complex
Pablo D. Brubeck, Patrick E. Farrell, Robert C. Kirby, Charles Parker
https://arxiv.org/abs/2506.17406

Fast solvers for the high-order FEM simplicial de Rham complex
We present new finite elements for solving the Riesz maps of the de Rham complex on triangular and tetrahedral meshes at high order. The finite elements discretize the same spaces as usual, but with different basis functions, so that the resulting matrices have desirable properties. These properties mean that we can solve the Riesz maps to a given accuracy in a $p$-robust number of iterations with $\mathcal{O}(p^6)$ flops in three dimensions, rather than the naïve $\mathcal{O}(p^9)$ flops. T…

Probing Effective Black Hole Deformations
Stefan Hohenegger
https://arxiv.org/abs/2508.17781 https://arxiv.org/pdf/2508.17781

Probing Effective Black Hole Deformations
In recent works, a framework has been developed to describe (quantum) deformed, spherically symmetric and static black holes in four dimensions. The key idea of this so-called Effective Metric Description (EMD) is to parametrise deformations of the classical Schwarzschild geometry by two functions that depend on a physical quantity and which are calculated in a self-consistent way as series expansions in the vicinity of the horizon. In this work we further strengthen this framework by first dem…

On Complex Dimensions and Heat Content of Self-Similar Fractals
William E. Hoffer, Michel L. Lapidus
https://arxiv.org/abs/2508.09512 https://arxiv.org/pdf…

On Complex Dimensions and Heat Content of Self-Similar Fractals
Complex fractal dimensions, defined as poles of appropriate fractal zeta functions, describe the geometric oscillations in fractal sets. In this work, we show that the same possible complex dimensions in the geometric setting also govern the asymptotics of the heat content on self-similar fractals. We consider the Dirichlet problem for the heat equation on bounded open regions whose boundaries are self-similar fractals. The class of self-similar domains we consider allow for non-disjoint over…

The Hidden Symmetries of Yang-Mills Theory in (3 1)-dimensions
L. A. Ferreira, H. Malavazzi
https://arxiv.org/abs/2506.15832 https://…

The Hidden Symmetries of Yang-Mills Theory in (3+1)-dimensions
We show that classical, non-supersymmetric Yang-Mills theories coupled to spin-1/2 and spin-0 elementary matter fields, in (3+1)-dimensional Minkowski space-time, possess an exact integrability structure with an infinite number of conserved charges in involution. Such an integrability lives on the space of non-abelian electric and magnetic charges, and is based on flat connections in generalized loop spaces, presenting an R-matrix, and Sklyanin relation. We present two novel symmetries of Yang-…

Exact solution of asymmetric gelation between three walks on the square lattice
Aleksander L Owczarek, Andrew Rechnitzer
https://arxiv.org/abs/2507.17111 https://

Exact solution of asymmetric gelation between three walks on the square lattice
We find and analyse the exact solution of a model of three different polymers with asymmetric contact interactions in two dimensions, modelling a scenario where there are different types of polymers involved. In particular, we find the generating function of three directed osculating walks in star configurations on the square lattice with two interaction Boltzmann weights, so that there is one type of contact interaction between the top pair of walks and a different interaction betw…

$L^p$ boundedness of wave operators for higher order schr\"odinger operators with threshold eigenvalues
M. Burak Erdogan, William R. Green, Kevin LaMaster
https://arxiv.org/abs/2506.16378

$L^p$ boundedness of wave operators for higher order schrödinger operators with threshold eigenvalues
We consider the higher order Schrödinger operator $H=(-Δ)^m+V(x)$ in $n$ dimensions with real-valued potential $V$ when $n>2m$, $m\in \mathbb N$ when $H$ has a threshold eigenvalue. We adapt our recent results for $m\geq 1$ when $n>4m$ to lower dimensions $2m

Five-loop Anomalous Dimensions of Cubic Scalar Theory from Operator Product Expansion
Rijun Huang, Qingjun Jin, Yi Li
https://arxiv.org/abs/2508.13620 https://

Five-loop Anomalous Dimensions of Cubic Scalar Theory from Operator Product Expansion
Recently, an Operator Product Expansion method has been proposed for renormalization in quantum field theories. This method extracts UV divergences from two-point propagator-type integrals, and it is believed to be applicable to generic QFTs. In the present work, we apply the OPE method to the renormalization of scalar theory with cubic interactions in six-dimensions. We have successfully computed the 5-loop corrections to the anomalous dimensions of the $ϕ^Q$ operator, as well as the large $N…

Trans-dimensional Hamiltonian model selection and parameter estimation from sparse, noisy data
Abigail N. Poteshman, Jiwon Yun, Tim H. Taminiau, Giulia Galli
https://arxiv.org/abs/2506.18802

Trans-dimensional Hamiltonian model selection and parameter estimation from sparse, noisy data
High-throughput characterization often requires estimating parameters and model dimension from experimental data of limited quantity and quality. Such data may result in an ill-posed inverse problem, where multiple sets of parameters and model dimensions are consistent with available data. This ill-posed regime may render traditional machine learning and deterministic methods unreliable or intractable, particularly in high-dimensional, nonlinear, and mixed continuous and discrete parameter spac…

On the One-Loop Exactness of Gravity Partition Function
Andres Goya, Mauricio Leston, Mario Passaglia
https://arxiv.org/abs/2507.16141 https://

On the One-Loop Exactness of Gravity Partition Function
In a previous work, we showed that the two- and three-loop contributions to the partition function of three-dimensional gravity in flat space vanish. This is in agreement with the expected one-loop exactness dictated by the underlying symmetry at the quantum level. To highlight the distinctive nature of the $D=3$ case, we extend the three-loop computation to arbitrary spacetime dimensions $D$. In higher dimensions, the number of contributions increases substantially, reinforcing the view that o…

Observation of Kardar-Parisi-Zhang universal scaling in two dimensions
Simon Widmann, Siddhartha Dam, Johannes D\"ureth, Christian G. Mayer, Romain Daviet, Carl Philipp Zelle, David Laibacher, Monika Emmerling, Martin Kamp, Sebastian Diehl, Simon Betzold, Sebastian Klembt, Sven H\"ofling
https://arxiv.org/abs/2506.1552…

Observation of Kardar-Parisi-Zhang universal scaling in two dimensions
Equilibrium and nonequilibrium states of matter can exhibit fundamentally different behavior. A key example is the Kardar-Parisi-Zhang universality class in two spatial dimensions (2D KPZ), where microscopic deviations from equilibrium give rise to macroscopic scaling laws without equilibrium counterparts. While extensively studied theoretically, direct experimental evidence of 2D KPZ scaling has remained limited to interface growth so far. Here, we report the observation of universal scaling c…

Higher symmetries, anomalies, and crossed squares in lattice gauge theory
Anton Kapustin, Lev Spodyneiko
https://arxiv.org/abs/2507.16966 https://arxiv.org…

Higher symmetries, anomalies, and crossed squares in lattice gauge theory
We examine higher-form symmetries of quantum lattice gauge theories through the lens of homotopy theory and operator algebras. We show that in the operator-algebraic approach both higher-form symmetries and 't Hooft anomalies arise from considering restrictions of symmetry transformations to spatial regions. The data of these restrictions are naturally packaged into a higher group. For example, for gauge theories in two spatial dimensions, this information is encoded in a crossed square of grou…

Quantum droplets in curved space
Antonino Flachi, Takahiro Tanaka
https://arxiv.org/abs/2507.13682 https://arxiv.org/pdf/2507.13682…

Quantum droplets in curved space
This paper investigates the formation of quantum droplets in curved spacetime, highlighting the significant influence of curvature on the formation and properties of these objects. While our computations encompass various dimensions, we primarily focus on 2-dimensions. Our findings reveal a novel class of curvature-driven quantum effects leading to the formation of quasi-stable liquid droplets, suggesting a feasible pathway for experimental observation, particularly in microgravity environments.

Holographic Timelike Entanglement Across Dimensions
Carlos Nunez, Dibakar Roychowdhury
https://arxiv.org/abs/2508.13266 https://arxiv.org/pdf/2508.13266

Holographic Timelike Entanglement Across Dimensions
We develop a holographic framework for computing timelike entanglement entropy (tEE) in quantum field theories, extending the Ryu-Takayanagi prescription into Lorentzian settings. Using three broad classes of supergravity backgrounds, we derive both exact and approximate tEE expressions for slab, spherical, and hyperbolic regions, and relate them to the central charges of the dual conformal field theories. The method is applied to infinite families of supersymmetric linear quivers in dimensions…

A Satellite $N=2$ Superparticle in Extra Dimensions
F. E. A. de Souza, M. O. Tahim, R. I. O. Junior, I. M. Macedo
https://arxiv.org/abs/2508.13970 https://…

A Satellite $N=2$ Superparticle in Extra Dimensions
In this work we discuss the issue of localization of $N=2$ spinning particles. More specifically, we show that we can not confine the spinning particle within the Randall-Sundrum scenario. We argue that this result directly affects studies related to localization of $p$-form fields. We show that, due to the non confinement of the superparticle, we can not localize $p$-forms on the membrane.

On Carrollian and Celestial Correlators in General Dimensions
Harshal Kulkarni, Romain Ruzziconi, Akshay Yelleshpur Srikant
https://arxiv.org/abs/2508.06602 https://

On Carrollian and Celestial Correlators in General Dimensions
Carrollian holography is a framework for flat space holography, suggesting that gravity in asymptotically flat spacetime in $D$ dimensions is dual to a conformal Carrollian field theory in $D - 1$ dimensions living at null infinity. In this work, we elaborate on the definition of Carrollian amplitudes for massless scalar fields in general dimensions and provide explicit expressions for the two-, three-, and four-point functions. We show that these amplitudes naturally arise from Lorentzian holo…