Tootfinder

Compressed self-avoiding walks in two and three dimensions
C J Bradly, N R Beaton, A L Owczarek
https://arxiv.org/abs/2506.11433 https://

Compressed self-avoiding walks in two and three dimensions
We consider the phase transition induced by compressing a self-avoiding walk in a slab where the walk is attached to both walls of the slab in two and three dimensions, and the resulting phase once the polymer is compressed. The process of moving between a stretched situation where the walls pull apart to a compressed scenario is a phase transition with some similarities to that induced by pulling and pushing the end of the polymer. However, there are key differences in that the compressed stat…

Multi-Loco: Unifying Multi-Embodiment Legged Locomotion via Reinforcement Learning Augmented Diffusion
Shunpeng Yang, Zhen Fu, Zhefeng Cao, Guo Junde, Patrick Wensing, Wei Zhang, Hua Chen
https://arxiv.org/abs/2506.11470

Multi-Loco: Unifying Multi-Embodiment Legged Locomotion via Reinforcement Learning Augmented Diffusion
Generalizing locomotion policies across diverse legged robots with varying morphologies is a key challenge due to differences in observation/action dimensions and system dynamics. In this work, we propose Multi-Loco, a novel unified framework combining a morphology-agnostic generative diffusion model with a lightweight residual policy optimized via reinforcement learning (RL). The diffusion model captures morphology-invariant locomotion patterns from diverse cross-embodiment datasets, improving…

A Topic Modeling Analysis of Stigma Dimensions, Social, and Related Behavioral Circumstances in Clinical Notes Among Patients with HIV
Ziyi Chen, Yiyang Liu, Mattia Prosperi, Krishna Vaddiparti, Robert L Cook, Jiang Bian, Yi Guo, Yonghui Wu
https://arxiv.org/abs/2506.09279

A Topic Modeling Analysis of Stigma Dimensions, Social, and Related Behavioral Circumstances in Clinical Notes Among Patients with HIV
Objective: To characterize stigma dimensions, social, and related behavioral circumstances in people living with HIV (PLWHs) seeking care, using natural language processing methods applied to a large collection of electronic health record (EHR) clinical notes from a large integrated health system in the southeast United States. Methods: We identified 9,140 cohort of PLWHs from the UF Health IDR and performed topic modeling analysis using Latent Dirichlet Allocation (LDA) to uncover stigma dimen…

Duality and Infinite Distance Limits in Asymmetric Freely Acting Orbifolds
George Gkountoumis, Chris Hull, Guo-En Nian, Stefan Vandoren
https://arxiv.org/abs/2506.11699

Duality and Infinite Distance Limits in Asymmetric Freely Acting Orbifolds
We use freely acting asymmetric orbifolds of type IIB string theory to construct a class of theories in four dimensions with eight supercharges. Their low energy effective field theories resemble $STU$ models, but have different duality groups: the orbifold's free action reduce the duality groups to congruence subgroups of the modular group. The fundamental domain is consequently larger and contains new interesting points at infinite distance on the real axis bounding the upper half plane. We v…

Tensor perturbations in higher derivative gravity theories in $D$ dimensions
Ercan Kilicarslan
https://arxiv.org/abs/2506.10563 https://

Tensor perturbations in higher derivative gravity theories in $D$ dimensions
We study tensor perturbations of the ghost-free generic non-local gravity theory constructed infinite series of higher derivative terms in $D$ dimensions. The infinite series of higher derivative terms are encoded by form factors, the forms of which can be restricted by requiring that the action remains perturbatively free of ghosts and tachyons around maximally symmetric backgrounds for transverse traceless fluctuations. To demonstrate this, we obtain field equations for AdS plane wave metric …

Fourth- and Higher-order Interface Tracking of Three or More Materials with Arbitrarily Complex Topology and Geometry
Yan Tan, Yixiao Qian, Zhiqi Li, Qinghai Zhang
https://arxiv.org/abs/2506.11897

Fourth- and Higher-order Interface Tracking of Three or More Materials with Arbitrarily Complex Topology and Geometry
For interface tracking of an arbitrary number of materials in two dimensions, we propose a multiphase cubic MARS method that (a) accurately and efficiently represents the topology and geometry of the interface via graphs, cycles, and cubic splines, (b) maintains a $(r,h)$-regularity condition of the interface so that the distance between any pair of adjacent markers is within a user-specified range that may vary according to the local curvature, (c) applies to multiple materials with arbitraril…

PAMBE growth of GaN nanowires on metallic ZrN buffers -- a critical impact of ZrN layer thickness on the growth temperature
Karol Olszewski, Zbigniew R. Zytkiewicz, Aleksandra Wierzbicka, Marek Guziewicz, Marta Sobanska
https://arxiv.org/abs/2506.11754

PAMBE growth of GaN nanowires on metallic ZrN buffers -- a critical impact of ZrN layer thickness on the growth temperature
An impact of thin metallic ZrN layers on Si and sapphire wafers on substrate temperature during MBE growth of GaN nanowires is studied. Using nucleation kinetics of GaN as a sensitive probe we show that a thin ZrN layer strongly increases the substrate temperature, which significantly affects the dimensions and density of the nanowires. To quantify the effect we developed a technique of optical pyrometer calibration that allows reliable determination of emissivity, and thus precise measurement …

Multivariate Time-series Transformer Embeddings for Light Curves
Gabriel Chiong, Ignacio Becker, Pavlos Protopapas
https://arxiv.org/abs/2506.11637 https:/…

Multivariate Time-series Transformer Embeddings for Light Curves
Astronomical surveys produce time-series data by observing stellar objects across multiple wavelength bands. Foundational transformer-based models, such as Astromer, encode each time-series as a sequence of embeddings of uniform dimensions. However, such models operate independently on each band at a single time and do not natively leverage information across telescope filters. We extend this framework by introducing a fusion mechanism that maps the collection of single-band embeddings to a uni…

Light PIDM in Warped Extra Dimensions
Mathew T Arun, Prachiti P. Athalye, Basabendu Barman
https://arxiv.org/abs/2506.09135 https://a…

Light PIDM in Warped Extra Dimensions
Traditional Planckian Interacting Dark Matter (PIDM), which interacts exclusively through gravity, typically requires heavy DM candidates (with mass $10^3-10^{15}$ GeV) and very high reheating temperature ($T_{\rm rh}\gtrsim 10^{15}$ GeV). In this article, we explore a novel realization of PIDM in warped five-dimensions, consisting of an "Ultra Violet"$-$"Dark"$-$"Infra Red" (UV-DB-IR) brane setup, where the DM can be a Dark brane composite light state with mass 1 MeV $-$ 1 TeV. The DM sector i…

Effective criteria for entanglement witnesses in small dimensions
{\L}ukasz Grzelka, {\L}ukasz Skowronek, Karol \.Zyczkowski
https://arxiv.org/abs/2506.09298

Effective criteria for entanglement witnesses in small dimensions
We present an effective set of necessary and sufficient criteria for block-positivity of matrices of order $4$ over $\mathbb{C}$. The approach is based on Sturm sequences and quartic polynomial positivity conditions presented in recent literature. The procedure allows us to test whether a given $4\times 4$ complex matrix corresponds to an entanglement witness, and it is exact when the matrix coefficients belong to the rationals, extended by $\mathrm{i}$. The method can be generalized to $\mathc…

Resolving Discrepancies in Wood Micromechanics: Strain-Mapped Compression of Tracheid Wall Micropillars
J\'ulio O. Amando de Barros, Jakob Schwiedrzik, Falk K. Wittel
https://arxiv.org/abs/2506.11177

Resolving Discrepancies in Wood Micromechanics: Strain-Mapped Compression of Tracheid Wall Micropillars
Wood's increasing role as a structural resource in sustainable materials selection demands accurate characterization of its mechanical behavior. Its performance arises from a hierarchical structure, where the dominant load-bearing component is the S2 layer of tracheid cell walls-a thick, fiber-reinforced composite of cellulose microfibrils embedded in hemicelluloses and lignin. Due to the small dimensions and anisotropic nature of the S2 layer, mechanical testing presents significant challenges…

Ising versus infinite randomness criticality in arrays of Rydberg atoms trapped with non-perfect tweezers
Jose Soto-Garcia, Natalia Chepiga
https://arxiv.org/abs/2506.11985

Ising versus infinite randomness criticality in arrays of Rydberg atoms trapped with non-perfect tweezers
Chains of Rydberg atoms have emerged as an amazing platform for simulating quantum physics in low dimensions. This remarkable success is due to the versatility of lattice geometries achieved by trapping neutral atoms with optical tweezers. On a given lattice, the competition between the repulsive van der Waals potential and the detuning of the laser frequency brings the atoms to highly excited Rydberg states, leading to a variety of exotic phases and quantum phase transitions. Experiments on th…

Choices or constraints: decoding financial empowerment among women entrepreneurs in France
Jonathan Labb\'e (CEREFIGE, IAE Nancy, UL), Typhaine Leb\`egue (VALLOREM, UT), Abdel Malik Ola (VALLOREM, UT)
https://arxiv.org/abs/2505.10064

Choices or constraints: decoding financial empowerment among women entrepreneurs in France
This research examines the empowerment of women entrepreneurs in the context of entrepreneurial financing in France. It explores the factors that allow some women entrepreneurs to access certain categories of external finance more easily. The theoretical framework used is based on the concept of empowerment, explored through its personal and relational dimensions. The study relies on a quantitative approach, using data from a representative of women entrepreneurs. The results show that the stat…

InGaN Nanopixel Arrays on Single Crystal GaN Substrate
Nirmal Anand, Sadat Tahmeed Azad, Christy Giji Jenson, Dipon Kumar Ghosh, Md Zunaid Baten, Pei-Cheng Ku, Grzegorz Muziol, Sharif Sadaf
https://arxiv.org/abs/2506.11408

InGaN Nanopixel Arrays on Single Crystal GaN Substrate
Indium gallium nitride (InGaN) quantum well (QW) micro- and nano-scale light-emitting diodes (LEDs) are vital to the next-generation optoelectronic applications such as ultrahigh-speed optical interconnects and near-eye augmented/virtual reality displays. However, scaling to nanoscale dimensions introduces several challenges, including an increased nonradiative recombination from surface states and defect-related emission degradation. In this work, we present a high-performance, strain-relaxed …

Maximizing higher eigenvalues in dimensions three and above
Denis Vinokurov
https://arxiv.org/abs/2506.09328 https://arxiv.org/pdf/25…

Maximizing higher eigenvalues in dimensions three and above
We study the problem of maximizing the $k$-th eigenvalue functional over the class of absolutely continuous measures on a closed Riemannian manifold of dimension $m\geq 3$. For dimensions $3 \leq m \leq 6$, we generalize the work of Karpukhin and Stern on the first eigenvalue, showing that the maximizing measures are realized by smooth harmonic maps into finite-dimensional spheres. For $m \geq 7$, the maximizing measures are again induced by harmonic maps, which may now exhibit singularitie…

Ben PinePhone'u bekliyordum ama geleceği yok. Yurtdışından getirince de vergisi kendisinin değerinin neredeyse 3 katı.
https://pine64.com/product/pinephone-pro-explorer-edition/

IDEA: Augmenting Design Intelligence through Design Space Exploration
Chuer Chen, Xiaoke Yan, Xiaoyu Qi, Nan Cao
https://arxiv.org/abs/2506.10587 https://

IDEA: Augmenting Design Intelligence through Design Space Exploration
Design spaces serve as a conceptual framework that enables designers to explore feasible solutions through the selection and combination of design elements. However, effective decision-making remains heavily dependent on the designer's experience, and the absence of mathematical formalization prevents computational support for automated design processes. To bridge this gap, we introduce a structured representation that models design spaces with orthogonal dimensions and discrete selectable elem…

Replaced article(s) found for math.AT. https://arxiv.org/list/math.AT/new/
[1/1]:
Log Geometric Models for Little Disks Operads in Even Dimensions

Rotating Carroll Black Holes: A No Go Theorem
Ivan Kol\'a\v{r}, David Kubiznak, Poula Tadros
https://arxiv.org/abs/2506.10451 https://

Rotating Carroll Black Holes: A No Go Theorem
Recently, there has been a lot of interest in Carroll black holes and in particular whether or not one could find a Carrollian analogue of a rotating black hole spacetime. Here we show that every stationary and axisymmetric solution (and thence also a black hole) of Carrollian general relativity in any number of $d\geq 3$ dimensions is necessarily also static. Using this result, we construct a unique stationary and axisymmetric black hole in three dimensions - a static Carroll BTZ black hole. A…

Semi-Tensor-Product Based Convolutional Neural Networks
Daizhan Cheng
https://arxiv.org/abs/2506.10407 https://arxiv.org/pdf/2506.104…

Semi-Tensor-Product Based Convolutional Neural Networks
The semi-tensor product (STP) of vectors is a generalization of conventional inner product of vectors, which allows the factor vectors to of different dimensions. This paper proposes a domain-based convolutional product (CP). Combining domain-based CP with STP of vectors, a new CP is proposed. Since there is no zero or any other padding, it can avoid the junk information caused by padding. Using it, the STP-based convolutional neural network (CNN) is developed. Its application to image and thir…

Enabling stratified sampling in high dimensions via nonlinear dimensionality reduction
Gianluca Geraci, Daniele E. Schiavazzi, Andrea Zanoni
https://arxiv.org/abs/2506.08921

Enabling stratified sampling in high dimensions via nonlinear dimensionality reduction
We consider the problem of propagating the uncertainty from a possibly large number of random inputs through a computationally expensive model. Stratified sampling is a well-known variance reduction strategy, but its application, thus far, has focused on models with a limited number of inputs due to the challenges of creating uniform partitions in high dimensions. To overcome these challenges, we perform stratification with respect to the uniform distribution defined over the unit interval, and…

Replaced article(s) found for math.GN. https://arxiv.org/list/math.GN/new/
[1/1]:
Inductive dimensions of coarse proximity spaces
https://

Orbit dimensions in linear and Gaussian quantum optics
Eliott Z. Mamon
https://arxiv.org/abs/2506.07995 https://arxiv.org/pdf/2506.07…

Orbit dimensions in linear and Gaussian quantum optics
In sub-universal quantum platforms such as linear or Gaussian quantum optics, quantum states can behave as different resources, in regard to the extent of their accessible state space (called their orbit) under the action of the restricted unitary group. We propose to study the dimension of a quantum state's orbit (as a manifold in the Hilbert space), a simple yet nontrivial topological property that can quantify "how many" states it can reach. As natural invariants under the group, these struc…

Replaced article(s) found for math.MG. https://arxiv.org/list/math.MG/new/
[1/1]:
H\"older continuity and dimensions of fractal Fourier series

Chern insulators in two and three dimensions: A global perspective
Jason G. Kattan, J. E. Sipe
https://arxiv.org/abs/2506.04466 https://

Chern insulators in two and three dimensions: A global perspective
We introduce a second-quantized continuum model for bulk Chern insulators wherein the Hamiltonian features a static magnetic field that has the periodicity of the crystal's lattice and spontaneously breaks time-reversal symmetry even in the electronic ground state at zero temperature. The topological invariants characterizing the bulk band structure of Chern insulators in both two and three dimensions are written entirely in terms of the quantities in this Hamiltonian and are globally defined a…

Training-Free Voice Conversion with Factorized Optimal Transport
Alexander Lobashev, Assel Yermekova, Maria Larchenko
https://arxiv.org/abs/2506.09709 http…

Training-Free Voice Conversion with Factorized Optimal Transport
This paper introduces Factorized MKL-VC, a training-free modification for kNN-VC pipeline. In contrast with original pipeline, our algorithm performs high quality any-to-any cross-lingual voice conversion with only 5 second of reference audio. MKL-VC replaces kNN regression with a factorized optimal transport map in WavLM embedding subspaces, derived from Monge-Kantorovich Linear solution. Factorization addresses non-uniform variance across dimensions, ensuring effective feature transformation.…

This https://arxiv.org/abs/2308.09696 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Exploring Metric and Strong Metric Dimensions in Inclusion Ideal Graphs of Commutative Rings
The inclusion ideal graph of a commutative unitary ring $R$ is the (undirected) graph $In(R)$ whose vertices all non-trivial ideals of $R$ and two distinct vertices are adjacent if and only if one of them is a proper subset of the other one. In this paper, the metric dimension of $In(R)$ is discussed. Moreover, the structure of the resolving graph of $In(R)$ is characterized and as an application, we compute the strong metric dimension of $In(R)$.

Replaced article(s) found for cs.CG. https://arxiv.org/list/cs.CG/new/
[1/1]:
Graphs with single interval Cayley configuration spaces in 3-dimensions

Large Time Behavior of the Klein-Gordon-Schr\"{o}digner system
Chanjin You
https://arxiv.org/abs/2506.09863 https://arxiv.org/pd…

Large Time Behavior of the Klein-Gordon-Schrödigner system
We establish the global existence and scattering for small and localized solutions of the Klein-Gordon-Schrödinger system in three dimensions. The system consists of coupled semilinear Schrödinger and Klein-Gordon equations with quadratic nonlinearities. This model is motivated by the study of plasma oscillations arising from the Hartree equation near a translation-invariant equilibrium with the Coulomb potential. Our proof relies on the space-time resonance method. The main difficulty comes …

Replaced article(s) found for math.CA. https://arxiv.org/list/math.CA/new/
[1/1]:
H\"older continuity and dimensions of fractal Fourier series

Large-scale quantization of trace I: Finite propagation operators
Matthias Ludewig, Guo Chuan Thiang
https://arxiv.org/abs/2506.10957 https://

Large-scale quantization of trace I: Finite propagation operators
Inspired by parallel developments in coarse geometry in mathematics and exact macroscopic quantization in physics, we present a family of general trace formulae which are universally quantized and depend only on large-scale geometric features of the input data. They generalize, to arbitrary dimensions, formulae found by Roe in his partitioned manifold index theorem, as well as the Kubo and Kitaev formulae for 2D Hall conductance used in physics.

#ReleaseTuesday — New version of https://thi.ng/tsne with ~15-20% better performance[1] due to avoiding repeated internal allocations and skipping gradient updates where unnecessary...
[1] Benchmarked …

Highly configurable t-SNE implementation for arbitrary dimensions

This https://arxiv.org/abs/2403.06767 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Continuity and equivariant dimension
We study the local-triviality dimensions of actions on $C^*$-algebras, which are invariants developed for noncommutative Borsuk-Ulam theory. While finiteness of the local-triviality dimensions is known to guarantee freeness of an action, we show that free actions need not have finite weak local-triviality dimension. Moreover, the local-triviality dimensions of a continuous field may be greater than those of its individual fibers, and the dimensions may fail to vary continuously across the fiber…

3-dimensional charged black holes in $f({Q})$ gravity
G. G. L. Nashed, Emmanuel N. Saridakis
https://arxiv.org/abs/2506.10046 https://

3-dimensional charged black holes in $f({Q})$ gravity
We present new exact charged black hole solutions in (2+1) dimensions within the framework of $f({Q})$ gravity, where ${Q}$ denotes the non-metricity scalar. By considering a cubic $f({Q})$ form we derive classes of charged and uncharged spherically symmetric solutions, and we identify conditions under which these reduce to the well-known Banados-Teitelboim-Zanelli (BTZ) black hole. Notably, our analysis reveals a novel charged solution that is asymptotically Anti-de Sitter (AdS) but cannot be …

Cosmic filaments confirm unexplained cooling of CMB photons in two independent redshift ranges
Juan Ignacio Dom\'inguez Feldman, Luis A. Pereyra, Frode K. Hansen, Facundo Toscano, Diego Garcia Lambas
https://arxiv.org/abs/2506.08833

Cosmic filaments confirm unexplained cooling of CMB photons in two independent redshift ranges
Recent papers have reported an unexplained cooling of CMB photons passing through galaxies in nearby cosmic filaments $z<0.02$ at the $>5σ$ level. Here we show for the first time that this effect is also present at higher redshifts $0.02

This https://arxiv.org/abs/2408.12206 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Upper bounds for dimensions of singularity categories and their annihilators
Let $R$ be a commutative noetherian ring. Denote by $\operatorname{mod} R$ the category of finitely generated $R$-modules and by $\operatorname{D^b}(R)$ the bounded derived category of $\operatorname{mod} R$. In this paper, we first investigate localizations and annihilators of Verdier quotients of $\operatorname{D^b}(R)$. After that, we explore upper bounds for the dimension of the singularity category of $R$ and its (strong) generators. We extend a theorem of Liu to the case where $R$ is neit…

Which Prompting Technique Should I Use? An Empirical Investigation of Prompting Techniques for Software Engineering Tasks
E. G. Santana Jr, Gabriel Benjamin, Melissa Araujo, Harrison Santos, David Freitas, Eduardo Almeida, Paulo Anselmo da M. S. Neto, Jiawei Li, Jina Chun, Iftekhar Ahmed
https://arxiv.org/abs/2506.05614

Which Prompting Technique Should I Use? An Empirical Investigation of Prompting Techniques for Software Engineering Tasks
A growing variety of prompt engineering techniques has been proposed for Large Language Models (LLMs), yet systematic evaluation of each technique on individual software engineering (SE) tasks remains underexplored. In this study, we present a systematic evaluation of 14 established prompt techniques across 10 SE tasks using four LLM models. As identified in the prior literature, the selected prompting techniques span six core dimensions (Zero-Shot, Few-Shot, Thought Generation, Ensembling, Sel…

This https://arxiv.org/abs/2401.16983 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Classification complexity of chaotic systems
In this paper, we deal with the classification complexity of continuous (Devaney) chaotic systems in dimensions $0,1$ and $\infty$ using the framework of invariant descriptive set theory. We identify the complexity in dimensions $0$ and $\infty$, while in dimension $1$ we get some partial results. More precisely, we prove the topological conjugacy relation of invertible chaotic systems on the Hilbert cube (resp. on all compact metric spaces) has the same complexity as (i.e. is Borel bireducib…

Validation of the Critical Reflection and Agency in Computing Index: Do Computing Ethics Courses Make a Difference?
Aadarsh Padiyath, Casey Fiesler, Mark Guzdial, Barbara Ericson
https://arxiv.org/abs/2506.06193

Validation of the Critical Reflection and Agency in Computing Index: Do Computing Ethics Courses Make a Difference?
Computing ethics education aims to develop students' critical reflection and agency. We need validated ways to measure whether our efforts succeed. Through two survey administrations (N=474, N=464) with computing students and professionals, we provide evidence for the validity of the Critical Reflection and Agency in Computing Index. Our psychometric analyses demonstrate distinct dimensions of ethical development and show strong reliability and construct validity. Participants who completed com…

On the shape of the typical Poisson-Voronoi cell in high dimensions
Matthias Irlbeck, Zakhar Kabluchko, Tobias M\"uller
https://arxiv.org/abs/2506.02607

On the shape of the typical Poisson-Voronoi cell in high dimensions
We study the typical cell of the Poisson-Voronoi tessellation. We show that when divided by the $d$-th root of the intensity parameter $λ$ of the Poisson process times the volume of the unit ball, the inradius, outradius, diameter and mean width of the typical cell converge in probability to the constants $1/2, 1, 2, 2$ respectively, as the dimension $d\to\infty$. We also show that the width of the typical cell, when rescaled in the same way, is bounded between $2\sqrt{5}/(2+\sqrt{5})-o_d(1)$ …

Efficient Bayesian multi-fidelity inverse analysis for expensive and non-differentiable physics-based simulations in high stochastic dimensions
Jonas Nitzler, Bugrahan Z. Tem\"ur, Phaedon-Stelios Koutsourelakis, Wolfgang A. Wall
https://arxiv.org/abs/2505.24708

Efficient Bayesian multi-fidelity inverse analysis for expensive and non-differentiable physics-based simulations in high stochastic dimensions
High-dimensional Bayesian inverse analysis (dim >> 100) is mostly unfeasible for computationally demanding, nonlinear physics-based high-fidelity (HF) models. Usually, the use of more efficient gradient-based inference schemes is impeded if the multi-physics models are provided by complex legacy codes. Adjoint-based derivatives are either exceedingly cumbersome to derive or non-existent for practically relevant large-scale nonlinear and coupled multi-physics problems. Similarly, holistic automa…

Coercive Field Reduction in Ultra-thin Al1-XScXN via Interfacial Engineering with a Scandium Electrode
Yinuo Zhang, Rajeev Kumar Rai, Giovanni Esteves, Yubo Wang, Deep M. Jariwala, Eric A. Stach, Roy H. Olsson III
https://arxiv.org/abs/2506.10169

Coercive Field Reduction in Ultra-thin Al1-XScXN via Interfacial Engineering with a Scandium Electrode
Aluminum scandium nitride (AlScN) ferroelectrics are promising for next-generation non-volatile memory applications due to their high remnant polarization as well as fast switching and scalability to nanometer thicknesses. As device dimensions shrink, the coercive field in ultra-thin ferroelectric films increases, which challenges low-voltage operation. We demonstrate that interfacial engineering through bottom electrode selection and strain management reduces this coercive field increase and i…

My kingdom for a datasheet where all of the coordinates in the mechanical drawings are referenced to a single datum. I don't care if it's the center or a corner or what.
Anything but... this.

Asymptotic Fate of Continuously Monitored Quantum Systems
Finn Schmolke
https://arxiv.org/abs/2506.10873 https://arxiv.org/pdf/2506.1…

Asymptotic Fate of Continuously Monitored Quantum Systems
A quantum trajectory is the natural response of a quantum system subject to external perturbations due to continuous indirect measurement. We completely characterize the asymptotic behavior of continuously monitored quantum systems in finite dimensions and show that generically, spontaneous irreversible localization transitions on the level of individual realizations occur, where the evolution becomes effectively constrained to one of the irreducible components of the total Hilbert space. More …

This https://arxiv.org/abs/2506.01068 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Free field construction of Heterotic string compactified on Calabi-Yau manifolds of Berglund-Hubsch type in the Batyrev-Borisov combinatorial approach
Heterotic string models in $4$-dimensions are the hybrid theories of a left-moving $N=1$ fermionic string whose additional $6$-dimensions are compactified on a $N=2$ SCFT theory with the central charge $9$, and a right-moving bosonic string, whose additional dimensions are also compactified on $N=2$ SCFT theory with the central charge $9$, and the remaining $13$ dimensions of which form the torus of $E(8)\times SO(10)$ Lie algebra. The important class of exactly solvable Heterotic string mode…

Analytic Uniqueness of Ball Volume Interpolation: Categorical Invariance and Universal Characterization
Andreu Ballus Santacana
https://arxiv.org/abs/2506.06885

Analytic Uniqueness of Ball Volume Interpolation: Categorical Invariance and Universal Characterization
We show that the classical volume formula for the unit $x$-ball, \[ V_x = \frac{π^{x/2}}{Γ(x/2+1)}, \] can be characterized as the \emph{unique} analytic continuation of Haar measure normalization and unit ball volumes for $\mathrm{O}(n)$, under principles of categorical invariance and normalization at integer dimensions. We generalize this result to the unitary and symplectic cases, formalize invariance using categorical language, and construct explicit categorical examples with functorial d…

Variational Inference for Latent Variable Models in High Dimensions
Chenyang Zhong, Sumit Mukherjee, Bodhisattva Sen
https://arxiv.org/abs/2506.01893 https…

Variational Inference for Latent Variable Models in High Dimensions
Variational inference (VI) is a popular method for approximating intractable posterior distributions in Bayesian inference and probabilistic machine learning. In this paper, we introduce a general framework for quantifying the statistical accuracy of mean-field variational inference (MFVI) for posterior approximation in Bayesian latent variable models with categorical local latent variables. Utilizing our general framework, we capture the exact asymptotic regime where MFVI `works' for the celeb…

Generalized Modulated Symmetries in $\mathbb{Z}_2$ Topological Ordered Phases
Gustavo M. Yoshitome, Heitor Casasola, Rodrigo Corso, Pedro R. S. Gomes
https://arxiv.org/abs/2506.10819

Generalized Modulated Symmetries in $\mathbb{Z}_2$ Topological Ordered Phases
We study $\mathbb{Z}_2$ topological ordered phases in 2+1 dimensions characterized by generalized modulated symmetries. Such phases have explicit realizations in terms of fixed-point Hamiltonians involving commuting projectors with support $h=3,5,7,\ldots$ in the horizontal direction, which dictates the modulation of the generalized symmetries. These symmetries are sensitive to the lattice sizes. For certain sizes, they are spontaneously broken and the ground state is degenerated, while for the…

This https://arxiv.org/abs/2501.09023 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

Cyber-Physical Security Vulnerabilities Identification and Classification in Smart Manufacturing -- A Defense-in-Depth Driven Framework and Taxonomy
The increasing cybersecurity threats to critical manufacturing infrastructure necessitate proactive strategies for vulnerability identification, classification, and assessment. Traditional approaches, which define vulnerabilities as weaknesses in computational logic or information systems, often overlook the physical and cyber-physical dimensions critical to manufacturing systems, comprising intertwined cyber, physical, and human elements. As a result, existing solutions fall short in addressin…

This https://arxiv.org/abs/2503.01779 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Curvature, macroscopic dimensions, and symmetric products of surfaces
We present a detailed study of the curvature and symplectic asphericity properties of symmetric products of surfaces. We show that these spaces can be used to answer nuanced questions arising in the study of closed Riemannian manifolds with positive scalar curvature. For example, we prove that symmetric products of surfaces sharply distinguish between two distinct notions of macroscopic dimension introduced by Gromov and the second-named author. As a natural generalization of this circle of ide…

The Ultimate Test of Superintelligent AI Agents: Can an AI Balance Care and Control in Asymmetric Relationships?
Djallel Bouneffouf, Matthew Riemer, Kush Varshney
https://arxiv.org/abs/2506.01813

The Ultimate Test of Superintelligent AI Agents: Can an AI Balance Care and Control in Asymmetric Relationships?
This paper introduces the Shepherd Test, a new conceptual test for assessing the moral and relational dimensions of superintelligent artificial agents. The test is inspired by human interactions with animals, where ethical considerations about care, manipulation, and consumption arise in contexts of asymmetric power and self-preservation. We argue that AI crosses an important, and potentially dangerous, threshold of intelligence when it exhibits the ability to manipulate, nurture, and instrumen…

This https://arxiv.org/abs/2505.21896 has been replaced.
initial toot: https://mastoxiv.page/@…

Theory of itinerant collisional spin dynamics in nondegenerate molecular gases
We study the fully itinerant dynamics of ultracold but nondegenerate polar molecules with a spin-$1/2$ degree of freedom encoded into two of their electric field dressed rotational states. Center of mass molecular motion is constrained to two-dimensions via tight confinement with a one-dimensional optical lattice, but remains mostly unconstrained within the plane. The pseudospins can become entangled through ultracold dipolar collisions, for which the locality of interactions is greatly relaxed…

Superconducting diode effect in a meso-wedge geometry with Abrikosov vortices
C. A. Aguirre, J. Barba-Ortega, A. S. de Arruda, J. Faundez
https://arxiv.org/abs/2506.01797

Superconducting diode effect in a meso-wedge geometry with Abrikosov vortices
In this study, we explore the behavior of a superconducting meso-wedge geometry in 3+1 dimensions (three spatial dimensions plus time) subjected to external transport currents at its boundaries and surfaces, as well as external fields applied along the $\hat{z}$-direction. The transport currents are included as two opposite polarities, $\textbf{J}>0$ and $\textbf{J}<0$. Using the generalized time-dependent Ginzburg-Landau theory and considering the order parameter $κ$, we focus on two scenario…

A study on Heisenberg-Weyl linear maps
Saikat Patra, Bihalan Bhattacharya
https://arxiv.org/abs/2506.05097 https://arxiv.org/pdf/2506…

A study on Heisenberg-Weyl linear maps
Heisenberg-Weyl operators provide a Hermitian generalization of Pauli operators in higher dimensions. Positive maps arising from Heisenberg-Weyl operators have been studied along with several algebraic and spectral properties of Heisenberg-Weyl observables. This allows to generalize the study of Pauli type maps in higher dimesional algebra of operators.

Multivariate Probabilistic Assessment of Speech Quality
Fredrik Cumlin, Xinyu Liang, Victor Ungureanu, Chandan K. A. Reddy, Christian Sch\"uldt, Saikat Chatterjee
https://arxiv.org/abs/2506.04890

Multivariate Probabilistic Assessment of Speech Quality
The mean opinion score (MOS) is a standard metric for assessing speech quality, but its singular focus fails to identify specific distortions when low scores are observed. The NISQA dataset addresses this limitation by providing ratings across four additional dimensions: noisiness, coloration, discontinuity, and loudness, alongside MOS. In this paper, we extend the explored univariate MOS estimation to a multivariate framework by modeling these dimensions jointly using a multivariate Gaussian d…

Max/Min Puzzles in Geometry IV
James M Parks
https://arxiv.org/abs/2505.03744 https://arxiv.org/pdf/2505.03744

Max/Min Puzzles in Geometry IV
In the previous paper, Max/Min Puzzles in Geometry III, we searched for the smallest area triangle which contained a regular unit polygon (Square, Pentagon, Hexagon). In this paper we will work in 3-dimensions, and search for the smallest regular Tetrahedron which contains a regular unit polyhedron (Cube, Octahedron, Icosahedron, Dodecahedron).

Hausdorff Dimension of non-conical and Myrberg limit sets
Mahan Mj, Wenyuan Yang
https://arxiv.org/abs/2506.04955 https://arxiv.org/p…

Hausdorff Dimension of non-conical and Myrberg limit sets
In this paper, we develop techniques to study the Hausdorff dimensions of non-conical and Myrberg limit sets for groups acting on negatively curved spaces. We establish maximality of the Hausdorff dimension of the non-conical limit set of $G$ in the following cases. 1. $M$ is a finite volume complete Riemannian manifold of pinched negative curvature and $G$ is an infinite normal subgroups of infinite index in $π_1(M)$. 2. $G$ acts on a regular tree $X$ with $X/G$ infinite and amenable (dimensi…

Human-Centric Evaluation for Foundation Models
Yijin Guo, Kaiyuan Ji, Xiaorong Zhu, Junying Wang, Farong Wen, Chunyi Li, Zicheng Zhang, Guangtao Zhai
https://arxiv.org/abs/2506.01793

Human-Centric Evaluation for Foundation Models
Currently, nearly all evaluations of foundation models focus on objective metrics, emphasizing quiz performance to define model capabilities. While this model-centric approach enables rapid performance assessment, it fails to reflect authentic human experiences. To address this gap, we propose a Human-Centric subjective Evaluation (HCE) framework, focusing on three core dimensions: problem-solving ability, information quality, and interaction experience. Through experiments involving Deepseek R…

Time-like Extra Dimensions: Quantum Nonlocality, Spin, and Tsirelson Bound
Mohammad Furquan, Tejinder P. Singh, P Samuel Wesley
https://arxiv.org/abs/2505.18797

Time-like Extra Dimensions: Quantum Nonlocality, Spin, and Tsirelson Bound
The $E_8 \otimes E_8$ octonionic theory of unification suggests that our universe is six-dimensional and that the two extra dimensions are time-like. These time-like extra dimensions, in principle, offer an explanation of the quantum nonlocality puzzle, also known as the EPR paradox. Quantum systems access all six dimensions, whereas classical systems such as detectors experience only four dimensions. Therefore, correlated quantum events that are time-like separated in 6D can appear to be space…

Auto-Regressive vs Flow-Matching: a Comparative Study of Modeling Paradigms for Text-to-Music Generation
Or Tal, Felix Kreuk, Yossi Adi
https://arxiv.org/abs/2506.08570

Auto-Regressive vs Flow-Matching: a Comparative Study of Modeling Paradigms for Text-to-Music Generation
Recent progress in text-to-music generation has enabled models to synthesize high-quality musical segments, full compositions, and even respond to fine-grained control signals, e.g. chord progressions. State-of-the-art (SOTA) systems differ significantly across many dimensions, such as training datasets, modeling paradigms, and architectural choices. This diversity complicates efforts to evaluate models fairly and pinpoint which design choices most influence performance. While factors like data…

Flare frequency in M dwarfs belonging to Young Moving Groups
E. Mamonova, Y. Shan, A. F. Kowalski, S. Wedemeyer S. C. Werner
https://arxiv.org/abs/2506.04465

Flare frequency in M dwarfs belonging to Young Moving Groups
Context. M stars are preferred targets for studying terrestrial exoplanets, for which we hope to obtain their atmosphere spectra in the next decade. However, M dwarfs have long been known for strong magnetic activity and the ability to frequently produce optical, broadband emission flares. Aims. We aim to characterise the flaring behaviour of young M dwarfs in the temporal, spectral, and energetic dimensions, as well as examine the stellar parameters governing this behaviour, in order to improv…

Trilinear characterizations of the Fourier extension conjecture on the paraboloid in three dimensions
Cristian Rios, Eric Sawyer
https://arxiv.org/abs/2506.03992

Trilinear characterizations of the Fourier extension conjecture on the paraboloid in three dimensions
We prove that a local trilinear extension inequality on the paraboloid in three dimensions is equivalent to the Fourier restriction conjecture, and then we prove a variant involving smooth Alpert wavelets that represents the weakest such inequality the authors could find that characterizes the Fourier extension conjecture.

Realization of Weyl elastic metamaterials with spin skyrmions
Yuang Pan, Liang Si, Miao Yang, Ning Han, Li Zhang, Qiaolu Chen, Rui Zhao, Fujia Chen, Yudong Ren, Wenhao Li, Yuze Hu, Mingyu Tong, Xinrui Li, Junyao Wu, Ronghao Bao, Weiqiu Chen, Yang Long, Bin Wu, Hongsheng Chen, Baile Zhang, Yihao Yang
https://arxiv.org/abs/2506.10…

Realization of Weyl elastic metamaterials with spin skyrmions
Topological elastic metamaterials provide a topologically robust way to manipulate the phononic energy and information beyond the conventional approaches. Among various topological elastic metamaterials, Weyl elastic metamaterials stand out, as they are unique to three dimensions and exhibit numerous intriguing phenomena and potential applications. To date, however, the realization of Weyl elastic metamaterials remains elusive, primarily due to the full-vectoral nature of elastic waves and the …

This https://arxiv.org/abs/2504.09460 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Imprints of extra dimensions in eccentric eccentric extreme-mass-ratio inspirals gravitational waveforms
Studies regarding extra-dimensions have been of great interest in modern theoretical physics, including their observational consequences from future gravitational wave (GW) observatories. In this direction, extreme-mass-ratio inspirals (EMRIs), attracting considerable interest in GW astronomy and fundamental physics, can potentially provide a useful platform for the search of extra dimensions. In this paper, we examine a rotating braneworld black hole in the context of equatorial eccentric EMRI…

Bridging Perception and Action: Spatially-Grounded Mid-Level Representations for Robot Generalization
Jonathan Yang, Chuyuan Kelly Fu, Dhruv Shah, Dorsa Sadigh, Fei Xia, Tingnan Zhang
https://arxiv.org/abs/2506.06196

Bridging Perception and Action: Spatially-Grounded Mid-Level Representations for Robot Generalization
In this work, we investigate how spatially grounded auxiliary representations can provide both broad, high-level grounding as well as direct, actionable information to improve policy learning performance and generalization for dexterous tasks. We study these mid-level representations across three critical dimensions: object-centricity, pose-awareness, and depth-awareness. We use these interpretable mid-level representations to train specialist encoders via supervised learning, then feed them as…

Towards numerical two-loop integrand reduction
Giuseppe Bevilacqua, Dhimiter Canko, Costas Papadopoulos, Aris Spourdalakis
https://arxiv.org/abs/2506.07231

Towards numerical two-loop integrand reduction
We present a method for the integrand-level reduction of two-loop helicity amplitudes in both $d=4-2ε$ and $d=4$ dimensions. The amplitude is expressed in terms of a set of Feynman integrals and their coefficients that depend on the external kinematics. The analysis presented in this paper, in conjunction with the ongoing development of the computational framework $\text{HELAC-2LOOP}$, paves the road for the construction of an automated program for two-loop amplitude calculations for arbitrary…

Dispersive estimates for Dirac Operators in dimension four with obstructions at threshold energies
William R. Green, Connor Lane, Benjamin Lyons
https://arxiv.org/abs/2506.08831

Dispersive estimates for Dirac Operators in dimension four with obstructions at threshold energies
We investigate $L^1\to L^\infty$ dispersive estimates for the Dirac equation with a potential in four spatial dimensions. We classify the structure of the obstructions at the thresholds as being composed of an at most two dimensional space of resonances per threshold, and finitely many eigenfunctions. Similar to the Schrödinger evolution, we prove the natural $t^{-2}$ decay rate when the thresholds are regular. When there is a threshold resonance or eigenvalue, we show that there is a time dep…

Frostman and Fourier characterisations of fractal dimensions
Kenneth J. Falconer, Shuqin Zhang
https://arxiv.org/abs/2505.21217 https://

Frostman and Fourier characterisations of fractal dimensions
We examine Frostman-type characterisations and other extremal measure criteria for a range of fractal dimensions of sets. In particular we derive properties of the less familiar modified lower box dimension and upper correlation dimension. We also express a number of fractal dimensions in terms of Fourier properties of measures.

Free field construction of Heterotic string compactified on Calabi-Yau manifolds of Berglund-Hubsch type in the Batyrev-Borisov combinatorial approach
Alexander Belavin
https://arxiv.org/abs/2506.01068

Free field construction of Heterotic string compactified on Calabi-Yau manifolds of Berglund-Hubsch type in the Batyrev-Borisov combinatorial approach
Heterotic string models in $4$-dimensions are the hybrid theories of a left-moving $N=1$ fermionic string whose additional $6$-dimensions are compactified on a $N=2$ SCFT theory with the central charge $9$, and a right-moving bosonic string, whose additional dimensions are also compactified on $N=2$ SCFT theory with the central charge $9$, and the remaining $13$ dimensions of which form the torus of $E(8)\times SO(10)$ Lie algebra. The important class of exactly solvable Heterotic string mode…

Weakly separated self-affine carpets
Bal\'azs B\'ar\'any, Levente David
https://arxiv.org/abs/2506.06851 https://arxiv.or…

Weakly separated self-affine carpets
In this paper, we study the Hausdorff and box-counting dimensions of diagonally aligned self-affine carpets whose projections onto the $x$ and $y$-axes satisfy the weak separation condition. In particular, we will see that the Hausdorff dimension equals the limit of the Barański formula, and the box-counting dimension is the limit of the Feng-Wang formula taken over the $n$th level functions. We also prove various equivalent formulas for the box-counting dimension, and we provide an alternativ…

Interacting Electronic Topology of Nonlocal Crystals
Shu Hamanaka, Martina O. Soldini, Tsuneya Yoshida, Titus Neupert
https://arxiv.org/abs/2506.10071 http…

Interacting Electronic Topology of Nonlocal Crystals
Nonlocal crystals are systems with translational symmetry but arbitrary range couplings or interactions between degrees of freedom. We argue that the notion of topology in such systems does not collapse to that in zero dimensions, as one may naively expect in view of the infinite interaction range. At the same time, we show that the range of available topological phases can be enriched in comparison to the case with local interactions. This is demonstrated by constructing an example of a fermio…

Stochastic Conformal Flows in Even Dimensions
Jack Piazza
https://arxiv.org/abs/2506.01217 https://arxiv.org/pdf/2506.01217

Stochastic Conformal Flows in Even Dimensions
We define two stochastic analogs of a geometric flow on even-dimensional manifolds called $Q$-curvature flow, and use the theory of Dirichlet forms to construct weak solutions to both. The first of these flows, which we call the normalized $Q$ flow (NQF), preserves the intrinsic volume normalization from the deterministic setting. The second, which we call the Liouville $Q$ flow (LQF), has a different normalization motivated by a similar flow studied in arXiv:1904.10909. The volume dynamics of …

This https://arxiv.org/abs/2504.09460 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Imprints of extra dimensions in eccentric eccentric extreme-mass-ratio inspirals gravitational waveforms
Studies regarding extra-dimensions have been of great interest in modern theoretical physics, including their observational consequences from future gravitational wave (GW) observatories. In this direction, extreme-mass-ratio inspirals (EMRIs), attracting considerable interest in GW astronomy and fundamental physics, can potentially provide a useful platform for the search of extra dimensions. In this paper, we examine a rotating braneworld black hole in the context of equatorial eccentric EMRI…

Critical scaling for spectral functions
Konrad Kockler, Jan M. Pawlowski, Jonas Wessely
https://arxiv.org/abs/2506.09142 https://arxi…

Critical scaling for spectral functions
We study real-time scalar $ϕ^4$-theory in 2+1 dimensions near criticality. Specifically, we compute the single-particle spectral function and that of the $s$-channel four-point function in and outside the scaling regime. The computation is done with the spectral functional Callan-Symanzik equation, which exhibits manifest Lorentz invariance and preserves causality. We extract the scaling exponent $η$ from the spectral function and compare our result with that from a Euclidean fixed point anal…

Seamless and Efficient Interactions within a Mixed-Dimensional Information Space
Chen Chen
https://arxiv.org/abs/2506.04545 https://a…

Seamless and Efficient Interactions within a Mixed-Dimensional Information Space
Mediated by today's visual displays, information space allows users to discover, access and interact with a wide range of digital and physical information. The information presented in this space may be digital, physical or a blend of both, and appear across different dimensions - such as texts, images, 3D content and physical objects embedded within real-world environment. Navigating within the information space often involves interacting with mixed-dimensional entities, visually represented i…

Oversight Structures for Agentic AI in Public-Sector Organizations
Chris Schmitz, Jonathan Rystr{\o}m, Jan Batzner
https://arxiv.org/abs/2506.04836 https:/…

Oversight Structures for Agentic AI in Public-Sector Organizations
This paper finds that the introduction of agentic AI systems intensifies existing challenges to traditional public sector oversight mechanisms -- which rely on siloed compliance units and episodic approvals rather than continuous, integrated supervision. We identify five governance dimensions essential for responsible agent deployment: cross-departmental implementation, comprehensive evaluation, enhanced security protocols, operational visibility, and systematic auditing. We evaluate the capaci…

Geometric aspects of the Harnack Inequality for a nonlocal heat equation
Mateusz Dembny, Miko{\l}aj Sier\.z\k{e}ga
https://arxiv.org/abs/2506.08187 https:/…

Geometric aspects of the Harnack Inequality for a nonlocal heat equation
We establish a connection between a sharp double-sided Harnack bound for positive solutions of a fractional heat equation and the circular geometry in higher dimensions. The present work extends and generalizes the results obtained in the preceding paper.

An adaptive delaminating Levin method in two dimensions
Shukui Chen, Kirill Serkh, James Bremer, Murdock Aubry
https://arxiv.org/abs/2506.02424 https://

An adaptive delaminating Levin method in two dimensions
We present an adaptive delaminating Levin method for evaluating bivariate oscillatory integrals over rectangular domains. Whereas previous analyses of Levin methods impose non-resonance conditions that exclude stationary and resonance points, we rigorously establish the existence of a slowly-varying, approximate solution to the Levin PDE across all frequency regimes, even when the non-resonance condition is violated. This allows us to derive error estimates for the numerical solution of the Lev…

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two
Urs Lang, Stephan Stadler, David Urech
https://arxiv.org/abs/2506.04882 https://

Isoperimetric inequalities in Hadamard spaces of asymptotic rank two
Gromov's isoperimetric gap conjecture for Hadamard spaces states that cycles in dimensions greater than or equal to the asymptotic rank admit linear isoperimetric filling inequalities, as opposed to the inequalities of Euclidean type in lower dimensions. In the case of asymptotic rank 2, recent progress was made by Druţu-Lang-Papasoglu-Stadler who established a homotopical inequality for Lipschitz 2-spheres with exponents arbitrarily close to 1. We prove a homological inequality of the same ty…

This https://arxiv.org/abs/2505.09443 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Variational formulations of transport on combinatorial meshes
We develop analogues of the primal and mixed variational formulations of the conservation laws describing transport of scalar physical properties for topological spaces referred to as cell complexes. The development is restricted to cell complexes with cells having connectivity of simple polytopes. Such spaces are suitable representations of physical systems composed of elements of different apparent topological dimensions, where all elements might have individual properties, and elements of a …

This https://arxiv.org/abs/2504.14170 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Collision Induced Binding and Transport of Shape Changing Robot Pairs
We report in experiment and simulation the spontaneous formation of dynamically bound pairs of shape changing robots undergoing locally repulsive collisions. These physical `gliders' robustly emerge from an ensemble of individually undulating three-link two-motor robots and can remain bound for hundreds of undulations and travel for multiple robot dimensions. Gliders occur in two distinct binding symmetries and form over a wide range of angular oscillation extent. This parameter sets the maxima…

This https://arxiv.org/abs/2502.12687 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Black Hole Chemistry Knows Extra Dimensions
: In this note, we study an extra dimension effect on the black hole chemistry in the 8-dimensional Einstein-Yang-Mills-Maxwell theory. The base spacetime contains 4- dimensional compact manifolds and an instanton on top of those. We demonstrate how the extra dimensions affect the phase transition and viable black hole sizes in the 4-dimensional Einstein frame through the black hole chemistry. We focus on asymptotically anti-de Sitter spacetimes for the effective 4-dimensional model obtained by…

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions
Angela Pistoia, Giuseppe Mario Rago, Giusi Vaira
https://arxiv.org/abs/2505.24387

Multi-bubble solutions for the Brezis-Nirenberg problem in four dimensions
The paper addresses the existence of multi-bubble solutions for the well-known Brezis-Nirenberg problem. Although there is extensive literature on the subject, the existence of solutions that blow up at multiple points in a 4D bounded domain remains an open problem. The goal of the present paper is to resolve this longstanding issue. In particular, we exhibit examples of domains where a large number of multi-bubble solutions exist. Our result can also be seen as the counterpart of the asymptoti…

Electromagnetism: an intrinsic approach to Hadamard's method of descent
Giuliano Angelone, Elisa Ercolessi, Paolo Facchi, Rocco Maggi, Giuseppe Marmo, Saverio Pascazio, Francesco V. Pepe
https://arxiv.org/abs/2506.05255

Electromagnetism: an intrinsic approach to Hadamard's method of descent
We present a systematic geometric framework for the dimensional reduction of classical electromagnetism based on the concept of descent along vector fields of invariance. By exploring the interplay between the Lie derivative and the Hodge star operator, we implement descent conditions on differential forms that reduce Maxwell's equations in four-dimensional spacetime to electromagnetic theories in lower dimensions. We also consider multiple descent along pairwise commuting vector fields of inva…

Feeling Guilty Being a c(ai)borg: Navigating the Tensions Between Guilt and Empowerment in AI Use
Konstantin Aal, Tanja Aal, Vasil Navumau, David Unbehaun, Claudia M\"uller, Volker Wulf, Sarah R\"uller
https://arxiv.org/abs/2506.00094

Feeling Guilty Being a c(ai)borg: Navigating the Tensions Between Guilt and Empowerment in AI Use
This paper explores the emotional, ethical and practical dimensions of integrating Artificial Intelligence (AI) into personal and professional workflows, focusing on the concept of feeling guilty as a 'c(ai)borg' - a human augmented by AI. Inspired by Donna Haraway's Cyborg Manifesto, the study explores how AI challenges traditional notions of creativity, originality and intellectual labour. Using an autoethnographic approach, the authors reflect on their year-long experiences with AI tools, re…

This https://arxiv.org/abs/2503.18792 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csHC_…

REALM: A Dataset of Real-World LLM Use Cases
Large Language Models (LLMs), such as the GPT series, have driven significant industrial applications, leading to economic and societal transformations. However, a comprehensive understanding of their real-world applications remains limited. To address this, we introduce REALM, a dataset of over 94,000 LLM use cases collected from Reddit and news articles. REALM captures two key dimensions: the diverse applications of LLMs and the demographics of their users. It categorizes LLM applications and…

Duality-symmetric D3-brane action with twisted self-dual 2-form doublet
Pichet Vanichchapongjaroen
https://arxiv.org/abs/2506.07219 https://

Duality-symmetric D3-brane action with twisted self-dual 2-form doublet
In this paper we apply the Sen formulation, which is originally developed for chiral form fields, to construct non-linear duality-symmetric actions in four dimensions. In particular, the duality-symmetric D3-brane action coupled to the type IIB supergravity background is constructed in the Sen formulation. Key features of the Sen formulation are also present in the duality-symmetric actions. For example, there are unphysical fields with the wrong sign of kinetic terms. These fields are uncouple…

This https://arxiv.org/abs/2409.13353 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Global existence for wave equations with scale-invariant time-dependent damping and time derivative nonlinearity
This paper addresses the Cauchy problem for wave equations with scale-invariant time-dependent damping and nonlinear time-derivative terms, modeled as $$\partial_{t}^2u- Δu +\fracμ{1+t}\partial_tu= f(\partial_tu), \quad x\in \mathbb{R}^n, t>0,$$ where $f(\partial_tu)=|\partial_tu|^p $ or $|\partial_tu|^{p-1}\partial_tu$ with $p>1$ and $μ>0$. We prove global existence of small data solutions in low dimensions $1\leq n\leq 3$ by using energy estimates in appropriate Sobolev…

This https://arxiv.org/abs/2408.02664 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Noninvertible Gauge Symmetry in (2+1)d Topological Orders: A String-Net Model Realization
We develop a systematic framework for understanding symmetries in topological phases in 2+1 dimensions using the string-net model, encompassing both gauge symmetries that preserve anyon species and global symmetries permuting anyon species, including both invertible symmetries describable by groups and noninvertible symmetries described by categories. As an archetypal example, we reveal the first noninvertible categorical gauge symmetry of topological orders in 2+1 dimensions: the Fibonacci gau…

Very high-order accurate finite volume scheme for the streamfunction-vorticity formulation of incompressible fluid flows with polygonal meshes on arbitrary curved boundaries
Ricardo Costa (Institute for Polymers and Composites, University of Minho, Azur\'em Campus, 4804-058 Guimar\~aes, Portugal, Department of Polymer Engineering, University of Minho, Azur\'em Campus, 4804-058 Guimar\~aes, Portugal), St\'ephane Clain (Centre of Mathematics, University of Coimbra, 3000-143 C…

Very high-order accurate finite volume scheme for the streamfunction-vorticity formulation of incompressible fluid flows with polygonal meshes on arbitrary curved boundaries
Conventional mathematical models for simulating incompressible fluid flow problems are based on the Navier-Stokes equations expressed in terms of pressure and velocity. In this context, pressure-velocity coupling is a key issue, and countless numerical techniques and methods have been developed over the decades to solve these equations efficiently and accurately. In two dimensions, an alternative approach is to rewrite the Navier-Stokes equations regarding two scalar quantities: the streamfunct…

This https://arxiv.org/abs/2503.15954 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Holographic deformations of matrix models
We study maximal supergravity in two dimensions, obtained from reduction of IIA supergravity on an $S^8$ sphere. The theory captures the low-lying fluctuations around the non-conformal D0-brane near-horizon geometry, dual to operators in the BFSS matrix model. Upon exciting some of the supergravity scalars, we construct half-supersymmetric domain wall solutions preserving $SO(p)\times SO(9-p)$ subgroups of the original $SO(9)$ symmetry. We determine their uplift to ten dimensions and the corres…

Negative moment of inertia of large-$N_c$ gluons on a ring
Maxim Chernodub
https://arxiv.org/abs/2506.06230 https://arxiv.org/pdf/250…

Negative moment of inertia of large-$N_c$ gluons on a ring
We study SU($N_c$) Yang-Mills theory in $1+1$ dimensions at finite temperature on a spatial ring that rotates uniformly in a plane. We show that the effect of rotation results only in a simple kinematic enhancement of the gauge coupling $g$, which becomes rescaled by a Lorentz factor corresponding to the tangential rotational velocity of the ring. Using well-established analytic results in Yang-Mills theory in the 't Hooft limit of an infinite number of colors, we demonstrate that the moment of…

Tidal Disruption in Topological Solitons and the Emergence of an Effective Horizon
Pierre Heidmann, Gela Patashuri
https://arxiv.org/abs/2506.05463 https:/…

Tidal Disruption in Topological Solitons and the Emergence of an Effective Horizon
We compute the dynamics of particles and strings falling into smooth horizonless spacetimes that match the Schwarzschild black hole but replace its horizon with a smooth cap in supergravity. The cap consists of a regular topological structure formed by the deformations of extra compact dimensions. We show that infalling particles follow Schwarzschild-like trajectories down to the cap, but experience rapidly growing tidal forces that reach extreme values. In addition, infalling strings encounter…

This https://arxiv.org/abs/2505.06369 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Yang-Lee Quantum Criticality in Various Dimensions
The Yang-Lee universality class arises when imaginary magnetic field is tuned to its critical value in the paramagnetic phase of the $d<6$ Ising model. In $d=2$, this non-unitary Conformal Field Theory (CFT) is exactly solvable via the $M(2,5)$ minimal model. As found long ago by von Gehlen using Exact Diagonalization, the corresponding real-time, quantum critical behavior arises in the periodic Ising spin chain when the imaginary longitudinal magnetic field is tuned to its critical value from …

This https://arxiv.org/abs/2506.00525 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Gravitomagnetism from Temporal Dimensional Reduction
We propose that the Taub-NUT metric can be envisaged as a (3+1) dimensional analog of the Kaluza-Klein (4+1) dimensional metric. After dimensional reduction of the Taub-NUT metric to (3) spatial dimensions, by treating time as the extra curled dimension (since the closed time-like curves can exist in the Taub-NUT framework, such a dimensional reduction is justified), we end up with three dimensional Einstein field equations plus the Maxwell equations for the gravitomagnetic field, which also ac…

This https://arxiv.org/abs/2407.06268 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Exploring Confinement in Anti-de Sitter Space
We study Yang-Mills theory on four dimensional Anti-de Sitter space. The Dirichlet boundary condition cannot exist at arbitrarily large radius because it would give rise to colored asymptotic states in flat space. As observed in [1] this implies a deconfinement-confinement transition as the radius is increased. We gather hints on the nature of this transition using perturbation theory. We compute the anomalous dimensions of the lightest scalar operators in the boundary theory, finding that the …

This https://arxiv.org/abs/2007.07190 has been replaced.
link: https://scholar.google.com/scholar?q=a

Anomalous dimensions for $ϕ^n$ in scale invariant $d=3$ theory
Recently it was shown that the scaling dimension of the operator $ϕ^n$ in scale-invariant $d=3$ theory may be computed semiclassically, and this was verified to leading order (two loops) in perturbation theory at leading and subleading $n$. Here we extend this verification to six loops, once again at leading and subleading $n$. We then perform a similar exercise for a theory with a multiplet of real scalars and an $O(N)$ invariant hexic interaction. We also investigate the strong-coupling regi…

This https://arxiv.org/abs/2408.00067 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Monopole Breaking of Chern-Weil Symmetries
Gauge theories in $d$ dimensions with a nontrivial fundamental group admit a $(d-3)$-form magnetic symmetry and a $(d-5)$-form instantonic symmetry. These are examples of Chern-Weil symmetries, with conserved currents built out of the gauge field strength, which can only be explicitly broken through violations of the Bianchi identity. For U(1) gauge theory, it is clear that magnetic monopoles violate not only the $(d-3)$-form magnetic symmetry but also lower-form symmetries like the instantonic…

This https://arxiv.org/abs/2412.16527 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Scalar-Tensor multiplet in four dimensional N=2 conformal supergravity
We study various N=2 multiplets in four dimensions by looking at the supersymmetric truncation of four dimensional N=3 multiplets. Under supersymmetric truncation, the off-shell N=3 Weyl multiplet reduces to the off-shell N=2 Weyl multiplet and the off-shell N=2 vector multiplet (which we will refer to as the central charge multiplet). Under the same truncation, the on-shell N=3 vector multiplet reduces to the on-shell N=2 vector multiplet and an on-shell massive hypermultiplet with a broken ri…

This https://arxiv.org/abs/2505.16026 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Edge modes of tetrad gravity: Unlike diffeomorphisms, all shifts are integrable
We present an improved notion of internal tetrad shifts in 4 dimensions which is always integrable in the presence of corners. This allows us to study the fully extended corner symmetry algebra of gauge charges, which is a deformation of $ISO(1,3)^S$ involving spacetime curvature. We argue this implies corner noncommutativity of the spin connection $ω$. The latter in particular hints that an extended BF theory might be a better way understand the dynamics of tetrad gravity. This result present…