Tootfinder

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…

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…

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…

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.

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…

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/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…

#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/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…

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…

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/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…

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…

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…

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…

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…

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…

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…

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 $2\sqrt{5}/(2+\sqrt{5})-o_d(1)$ …

This https://arxiv.org/abs/2409.00915 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the Pinsker bound of inner product kernel regression in large dimensions
Building on recent studies of large-dimensional kernel regression, particularly those involving inner product kernels on the sphere $\mathbb{S}^{d}$, we investigate the Pinsker bound for inner product kernel regression in such settings. Specifically, we address the scenario where the sample size $n$ is given by $αd^γ(1+o_{d}(1))$ for some $α, γ>0$. We have determined the exact minimax risk for kernel regression in this setting, not only identifying the minimax rate but also the exact consta…

Complexity reduction of physical models: an equation-free approach by means of scaling
Simone Rusconi, Christina Schenk, Razvan Ceuca, Arghir Zarnescu, Elena Akhmatskaya
https://arxiv.org/abs/2506.05029

Complexity reduction of physical models: an equation-free approach by means of scaling
The description of complex physical phenomena often involves sophisticated models that rely on a large number of parameters, with many dimensions and scales. One practical way to simplify that kind of models is to discard some of the parameters, or terms of underlying equations, thus giving rise to reduced models. Here, we propose a general approach to obtaining such reduced models. The method is independent of the model in use, i.e., equation-free, depends only on the interplay between the sca…

Effect of chromatic dispersion on image size and lattice plane curvature measurements with Rocking Curve Imaging
Elena Ferrari, Claudio Ferrari, Jos\`e Baruchel, Thu Ni Tran Caliste, Stefano Basso, Akanshu Chauhan, Bianca Salmaso, Davide Sisana, Daniele Spiga
https://arxiv.org/abs/2506.03787…

Effect of chromatic dispersion on image size and lattice plane curvature measurements with Rocking Curve Imaging
ADP crystals of large dimensions (80x80x20 mm3), to be used as a X-ray beam expanders in the BEaTriX facility at INAF-OABrera, have been characterised at BM05 beamline at ESRF synchrotron with the main purpose to determine lattice plane curvature with a unprecedent accuracy, as the BEaTriX setup requires a radius of curvature larger than 22 km. In this beamline, the monochromator is made by 2 Si(111) parallel crystals in the non-dispersive configuration. Due to the difference in the Bragg angle…

Symmetry breaking for local minimizers of a free discontinuity problem
Massimo Gobbino, Nicola Picenni
https://arxiv.org/abs/2506.05270 https://

Symmetry breaking for local minimizers of a free discontinuity problem
We study a functional defined on the class of piecewise constant functions, combining a jump penalization, which discourages discontinuities, with a fidelity term that penalizes deviations from a given linear function, called the forcing term. In one dimension, it is not difficult to see that local minimizers form staircases that approximate the forcing term. Here we show that in two dimensions symmetry breaking occurs, leading to the emergence of exotic minimizers whose level sets are not si…

Hyperbolicity and GCD for n 1 divisors with non-empty intersection
Julie Tzu-Yueh Wang, Zheng Xiao
#toXiv_bot_toot

This https://arxiv.org/abs/2501.09567 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Bridging conformal field theory and parton approaches to SU(n)_k chiral spin liquids
We employ the $\mathrm{SU}(n)_k$ Wess-Zumino-Witten (WZW) model in conformal field theory to construct lattice wave functions in both one and two dimensions. The spins on all lattice sites are chosen to transform under the $\mathrm{SU}(n)$ irreducible representation with a single row and $k$ boxes in the Young tableau. It is demonstrated that the wave functions can be reinterpreted as parton states, which enables efficient conversion to matrix product states such that many physical properties c…

Semisimple algebras related to immaculate tableaux
John M. Campbell
https://arxiv.org/abs/2507.02539 https://arxiv.org/pdf/2507.02539…

Semisimple algebras related to immaculate tableaux
Given a direct sum $A$ of full matrix algebras, if there is a combinatorial interpretation associated with both the dimension of $A$ and the dimensions of the irreducible $A$-modules, then this can be thought of as providing an analogue of the famous Frobenius-Young identity $n! = \sum_{λ\vdash n} ( f^λ )^{2}$ derived from the semisimple structure of the symmetric group algebra $\mathbb{C}S_{n}$, letting $f^λ$ denote the number of Young tableaux of partition shape $λ\vdash n$. By letting $g…

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…

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/2505.09443 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 …

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…

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…

This https://arxiv.org/abs/2104.07431 has been replaced.
link: https://scholar.google.com/scholar?q=a

One-ended spanning subforests and treeability of groups
We show that several new classes of groups are measure strongly treeable. In particular, finitely generated groups admitting planar Cayley graphs, elementarily free groups, and the group of isometries of the hyperbolic plane and all its closed subgroups. This provides the first examples of one-ended nonamenable groups which are measure strongly treeable. In higher dimensions, we also prove a dichotomy that the fundamental group of a closed aspherical $3$-manifold is either amenable or has stron…

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…

This https://arxiv.org/abs/2403.10282 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Non-Conforming Structure Preserving Finite Element Method for Doubly Diffusive Flows on Bounded Lipschitz Domains
We study a stationary model of doubly diffusive flows with temperature-dependent viscosity on bounded Lipschitz domains in two and three dimensions. A new well-posedness and regularity analysis of weak solutions under minimal assumptions on domain geometry and data regularity are established. A fully non-conforming finite element method based on Crouzeix-Raviart elements, which ensures locally exactly divergence-free velocity fields is explored. Unlike previously proposed schemes, this discreti…

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…

This https://arxiv.org/abs/2502.01454 has been replaced.
link: https://scholar.google.com/scholar?q=a

Extended string-net models with all anyons at finite temperature
The string-net model describes a vast family of topological orders in two spatial dimensions. Here, we consider the effect of thermal fluctuations on these topological phases. In the original string-net model, the description of charge (vertex) excitations can be problematic. Therefore, in order to describe all anyon excitations, we study an extended model [Y. Hu et al., Phys. Rev. B 97, 195154 (2018)]. Building on recent methods, we compute the spectral degeneracies of excited states and obtai…

This https://arxiv.org/abs/2312.02965 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Conditional constrained and unconstrained quantization for probability distributions
In this paper, we introduce and develop the concept of conditional quantization for Borel probability measures on $\mathbb{R}^k,$ considering both constrained and unconstrained frameworks. For each setting, we define the associated quantization errors, dimensions, and coefficients, and provide explicit computations for specific classes of probability distributions. A key result in the unconstrained case is that the union of all optimal sets of $ n$-means is dense in the support of the measure. …

This https://arxiv.org/abs/2404.11135 has been replaced.
initial toot: https://mastoxiv.page/@a…

Ion acceleration from micrometric targets immersed in an intense laser field
We report on an experimental study of proton acceleration by intense laser irradiation of micrometric bar targets, whose dimensions are transversely immersed in the laser focal volume and are longitudinally smaller than half its wavelength. With only 120 mJ of laser energy, we recorded proton energies in excess of 6~MeV, three times higher than those achieved with flat-foil irradiation using similar pulse energies. 3D particle-in-cell simulations revealed that the efficient energy transfer from…

Classifying weak Fano toric varieties of Picard rank $3$
Zhengning Hu, Rohan Joshi
https://arxiv.org/abs/2506.00715 https://arxiv.org…

Classifying weak Fano toric varieties of Picard rank $3$
We provide a systematic method to classify all smooth weak Fano toric varieties of Picard rank $3$ in any dimension using Macaulay2, and describe the classification explicitly in dimensions $3$ and $4$. There are $28$ and $114$ isomorphism classes of rank $3$ weak Fano toric threefolds and fourfolds, respectively.

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions
Yasushi Kawase, Bodhayan Roy, Mohammad Azharuddin Sanpui
https://arxiv.org/abs/2506.21727

Simultaneously Fair Allocation of Indivisible Items Across Multiple Dimensions
This paper explores the fair allocation of indivisible items in a multidimensional setting, motivated by the need to address fairness in complex environments where agents assess bundles according to multiple criteria. Such multidimensional settings are not merely of theoretical interest but are central to many real-world applications. For example, cloud computing resources are evaluated based on multiple criteria such as CPU cores, memory, and network bandwidth. In such cases, traditional one d…

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.

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

New theory proposes time has three dimensions, with space as a secondary effect
Time, not space plus time, might be the single fundamental property in which all physical phenomena occur, according to a new theory by a University of Alaska Fairbanks scientist.

Decoupling for degenerate hypersurfaces
Jianhui Li, Tongou Yang
https://arxiv.org/abs/2507.02134 https://arxiv.org/pdf/2507.02134

Decoupling for degenerate hypersurfaces
We utilise the two principles of decoupling introduced in arXiv:2407.16108 to prove the following conditional result: assuming uniform decoupling for graphs of polynomials in all dimensions with identically zero Gaussian curvature, we can prove decoupling for all smooth hypersurfaces in all dimensions. Moreover, we are able to prove (unconditional) decoupling for all smooth hypersurfaces in $\mathbb R^4$ and graphs of homogeneous polynomials in $\mathbb R^5$.

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…

Looking Back: Field theory of transiently chiral active particles
Callum Britton, Gunnar Pruessner, Thibault Bertrand
https://arxiv.org/abs/2507.01503 http…

Looking Back: Field theory of transiently chiral active particles
We derive a Doi-Peliti Field Theory for transiently chiral active particles in two dimensions, that is, active Brownian particles that undergo tumbles via a diffusing reorientation angle. Using this framework, we compute the mean squared displacement for both uniformly distributed and fixed initial reorientations. We also calculate an array of orientation-based observables, to quantify the transiently chiral behaviour observed.

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

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions
Jun-ichi Segata
https://arxiv.org/abs/2507.01288 https://

Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions
In this paper, we study long time behavior of solution to the two dimensional Zakharov-Kuznetsov equation in the framework of the final state problem. We construct a small global solution to the Zakharov-Kuznetsov equation which scatters to a given free solution. From this result, we have the existence of wave operators for the Zakharov-Kuznetsov equation. The proof is based on the space-time resonance method developed by Gustafson-Nakanishi-Tsai and Germain-Masmoudi-Shatah etc.

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/2501.17600 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

Towards post-growth policymaking: Barriers and enablers for wellbeing economy and Doughnut economics government initiatives
Providing wellbeing for all while safeguarding planetary boundaries may require governments to pursue post-growth policies. To understand how post-growth policymaking can be fostered, we examine wellbeing economy and Doughnut economics government initiatives across governance scales in Europe, New Zealand, and Canada. To identify political dimensions of barriers and enablers as well as priorities for future action, we apply a framework that distinguishes polity, politics, and policy to analyze …

Reentrant localization in a quasiperiodic chain with correlated hopping sequences
Sourav Karmakar, Sudin Ganguly, Santanu K. Maiti
https://arxiv.org/abs/2506.02716

Reentrant localization in a quasiperiodic chain with correlated hopping sequences
Quasiperiodic systems are known to exhibit localization transitions in low dimensions, wherein all electronic states become localized beyond a critical disorder strength. Interestingly, recent studies have uncovered a reentrant localization (RL) phenomenon: upon further increasing the quasiperiodic disorder strength beyond the localization threshold, a subset of previously localized states can become delocalized again within a specific parameter window. While RL transitions have been primarily …

A Hierarchical and Evolvable Benchmark for Fine-Grained Code Instruction Following with Multi-Turn Feedback
Guoliang Duan, Mingwei Liu, Yanlin Wang, Chong Wang, Xin Peng, Zibin Zheng
https://arxiv.org/abs/2507.00699

A Hierarchical and Evolvable Benchmark for Fine-Grained Code Instruction Following with Multi-Turn Feedback
Large language models (LLMs) have advanced significantly in code generation, yet their ability to follow complex programming instructions with layered and diverse constraints remains underexplored. Existing benchmarks often prioritize functional correctness, overlooking the nuanced requirements found in real-world development. We introduce MultiCodeIF, a comprehensive benchmark designed to evaluate instruction-following in code generation across multiple dimensions: constraint type, hierarchica…

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…

This https://arxiv.org/abs/2311.06069 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A filtered multilevel Monte Carlo method for estimating the expectation of cell-centered discretized random fields
In this paper, we investigate the use of multilevel Monte Carlo (MLMC) methods for estimating the expectation of discretized random fields. Specifically, we consider a setting in which the input and output vectors of numerical simulators have inconsistent dimensions across the multilevel hierarchy. This motivates the introduction of grid transfer operators borrowed from multigrid methods. By adapting mathematical tools from multigrid methods, we perform a theoretical spectral analysis of the ML…

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…

This https://arxiv.org/abs/2410.13230 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIR_…

Starbucks-v2: Improved Training for 2D Matryoshka Embeddings
2D Matryoshka training enables a single embedding model to generate sub-network representations across different layers and embedding dimensions, offering adaptability to diverse computational and task constraints. However, its effectiveness remains well below that of individually trained models of equivalent sizes. To address this, we propose Starbucks, a new training strategy for Matryoshka-style embedding models that combines structured fine-tuning with masked autoencoder (MAE) pre-training.…

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…

On singular Lagrangian fibrations and applications to symplectic embeddings I
Santiago Achig-Andrango, Renato Vianna, Alejandro Vicente
https://arxiv.org/abs/2506.01556

On singular Lagrangian fibrations and applications to symplectic embeddings I
In this paper, we construct singular Lagrangian fibrations on some examples of disk cotangent bundles in dimensions 4 and 6. As an application, we show how this construction can be used to obtain toric domains in some cases. In particular, we recover results from Ferreira, Ramos, and Vicente on the Gromov width of the disk cotangent bundle of spheres of revolution, as well as results from Ramos on the Lagrangian bidisk. We also briefly discuss how this technique can be used to study symplectic …

Inverse Microparticle Design for Enhanced Optical Trapping and Detection Efficiency in All Six Degrees of Freedom
Moosung Lee, Benjamin A. Stickler, Thomas Pertsch, Sungkun Hong
https://arxiv.org/abs/2506.01837

Inverse Microparticle Design for Enhanced Optical Trapping and Detection Efficiency in All Six Degrees of Freedom
Achieving quantum-limited motional control of optically trapped particles beyond the sub-micrometer scale is an outstanding problem in levitated optomechanics. A key obstacle is solving the light scattering problem and identifying particle geometries that allow stable trapping and efficient motional detection of their center of mass and rotational motion in three dimensions. Here, we present a computational framework that combines an efficient electromagnetic scattering solver with the adjoint …

This https://arxiv.org/abs/2401.00492 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Edge statistics for random band matrices
We consider Hermitian and symmetric random band matrices on the $d$-dimensional lattice $(\mathbb{Z}/L\mathbb{Z})^d$ with bandwidth $W$, focusing on local eigenvalue statistics at the spectral edge in the limit $W\to\infty$. Our analysis reveals a critical dimension $d_c=6$ and identifies the critical bandwidth scaling as $W_c=L^{(1-d/6)_+}$. In the Hermitian case, we establish the Anderson transition for all dimensions $d<4$, and GUE edge universality when $d\geq 4$ under the condition $W\geq …

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…

Multipoint conformal integrals in $D$ dimensions. Part II: Polygons and basis functions
K. B. Alkalaev, Semyon Mandrygin
https://arxiv.org/abs/2507.01904 h…

Multipoint conformal integrals in $D$ dimensions. Part II: Polygons and basis functions
We explicitly construct a class of multivariate generalized hypergeometric series which is conjectured in our previous paper [Alkalaev & Mandrygin 2025] to calculate multipoint one-loop parametric conformal integrals in $D$ dimensions. Our approach is based on a simple diagrammatic algorithm which systematically builds both arguments and series coefficients in terms of a convex polygon which is part of the Baxter lattice. The examples of the box, pentagon, and hexagon integrals are considered i…

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…

Infinite Dimensional Topological-Holomorphic Symmetry in Three-Dimensions
Hank Chen, Joaquin Liniado
https://arxiv.org/abs/2507.01858 https://

Infinite Dimensional Topological-Holomorphic Symmetry in Three-Dimensions
We introduce a three-dimensional quantum field theory with an infinite-dimensional symmetry, realized explicitly through a centrally extended affine graded Lie algebra. This symmetry is a direct three-dimensional generalization of the chiral symmetry in the Wess-Zumino-Witten model. Accordingly, this setup provides a framework for extending the methods of two-dimensional conformal field theory to three dimensions, and we expect it to lay the groundwork for exact methods in three-dimensional qua…

A family of non Minkowski measurable fractals in $\mathbb{R}^2$
Uta Freiberg, Jonas Lippold
https://arxiv.org/abs/2506.02640 https://…

A family of non Minkowski measurable fractals in $\mathbb{R}^2$
A long-standing conjecture of Lapidus asserts that, under certain conditions, a self-similar fractal set is not Minkowski measurable if and only if it is of lattice-type. For self-similar sets in $\mathbb{R}$, the Lapidus conjecture has been confirmed. However, in higher dimensions, it remains unclear whether all lattice-type self-similar sets are not Minkowski measurable. This work presents a family of lattice-type subsets in $\mathbb{R}^2$ that are not Minkowski measurable, hence providing fu…

This https://arxiv.org/abs/2502.13454 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Accurate Simulation of the Hubbard Model with Finite Fermionic Projected Entangled Pair States
We demonstrate the use of finite-size fermionic projected entangled pair states, in conjunction with variational Monte Carlo, to perform accurate simulations of the ground-state of the 2D Hubbard model. Using bond dimensions of up to $D=28$, we show that we can surpass state-of-the-art DMRG energies that use up to $m=32000$ SU(2) multiplets on 8-leg ladders. We further apply our methodology to $10\times 16$, $12\times 16$ and $16 \times 16$ lattices at $1/8$ hole doping and observe the dimensio…

Unlocking Quantum Control and Multi-Order Correlations via Terahertz Two-Dimensional Coherent Spectroscopy
Chuankun Huang, Martin Mootz, Liang Luo, Ilias E. Perakis, Jigang Wang
https://arxiv.org/abs/2507.02116

Unlocking Quantum Control and Multi-Order Correlations via Terahertz Two-Dimensional Coherent Spectroscopy
Terahertz two-dimensional coherent spectroscopy (THz-2DCS) is transforming our ability to probe, visualize, and control quantum materials far from equilibrium. This emerging technique brings multi-dimensional resolution to the ultrafast dynamics of nonequilibrium phases of matter, enabling new capabilities demanding precise coherent control and measurement of many-body dynamics and multi-order correlations. By mapping complex excitations across time and frequency dimensions, THz-2DCS delivers c…

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…

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…

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 …

Stabilization of long-range order in low-dimensional nonequilibrium $O(N)$ models
Oriana K. Diessel, Jaewon Kim, Ehud Altman
https://arxiv.org/abs/2507.01959

Stabilization of long-range order in low-dimensional nonequilibrium $O(N)$ models
It is now well established that the Mermin-Wagner theorem can be circumvented in nonequilibrium systems, allowing for the spontaneous breaking of a continuous symmetry and the emergence of long-range order in low dimensions. However, only a few models demonstrating this violation are known, and they often rely on specific mechanisms that may not be generally applicable. In this work, we identify a new mechanism for nonequilibrium-induced long-range order in a class of $O(N)$-symmetric models. I…

Towards a unified user modeling language for engineering human centered AI systems
Aaron Conrardy, Alfredo Capozucca, Jordi Cabot
https://arxiv.org/abs/2505.24697

Towards a unified user modeling language for engineering human centered AI systems
In today's digital society, personalization has become a crucial aspect of software applications, significantly impacting user experience and engagement. A new wave of intelligent user interfaces, such as AI-based conversational agents, has the potential to enable such personalization beyond what other types of interfaces could offer in the past. Personalization requires the ability to specify a complete user profile, covering as many dimensions as possible, such as potential accessibility cons…

A proof of the Fourier extension conjecture for the paraboloid in three dimensions
Cristian Rios, Eric T. Sawyer
https://arxiv.org/abs/2506.23376 https://

A proof of the Fourier extension conjecture for the paraboloid in three dimensions
We prove the Fourier extension conjecture on the paraboloid in three dimensions by combining our previous papers arXiv:2506.03992 and arXiv:2506.21315 with a bootstrapping argument in BeCaTa.

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…

Judgment as Coordination: A Joint Systems View of Visualization Design Practice
Paul C. Parsons, Arran Ridley
https://arxiv.org/abs/2507.01209 https://

Judgment as Coordination: A Joint Systems View of Visualization Design Practice
Professional visualization design has become an increasingly important area of inquiry, yet much of the field's discourse remains anchored in researcher-centered contexts. Studies of design practice often focus on individual designers' decisions and reflections, offering limited insight into the collaborative and systemic dimensions of professional work. In this paper, we propose a systems-level reframing of design judgment grounded in the coordination and adaptation that sustain progress amid …

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.

A hyperboloidal method for numerical simulations of multidimensional nonlinear wave equations
Oliver Rinne
https://arxiv.org/abs/2507.00674 https://…

A hyperboloidal method for numerical simulations of multidimensional nonlinear wave equations
We consider the scalar wave equation with power nonlinearity in n+1 dimensions. Unlike previous numerical studies, we go beyond the radial case and do not assume any symmetries for n=3, and we only impose an SO(n-1) symmetry in higher dimensions. Our method is based on a hyperboloidal foliation of Minkowski spacetime and conformal compactification. We focus on the late-time power-law decay (tails) of the solutions and compute decay exponents for different spherical harmonic modes, for subcritic…

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/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…

Uniqueness in determining a convex polygonal source of an elastic body
Jianli Xiang
https://arxiv.org/abs/2506.02870 https://arxiv.or…

Uniqueness in determining a convex polygonal source of an elastic body
In this work, we consider the time-harmonic inverse elastic source problem of a fixed frequency for the Navier equation in two dimensions. We show that a convex polygon can be uniquely determined by a single far field measurement. Our approach relies on the corner singularity analysis of solutions to the inhomogeneous Navier equation with a source term in a sector. This paper also contributes to corner scattering theory for the Navier equation in an non-convex domain.

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…

Human-Machine Collaboration-Guided Space Design: Combination of Machine Learning Models and Humanistic Design Concepts
Yuxuan Yang
https://arxiv.org/abs/2507.01776

Human-Machine Collaboration-Guided Space Design: Combination of Machine Learning Models and Humanistic Design Concepts
The integration of machine learning (ML) into spatial design holds immense potential for optimizing space utilization, enhancing functionality, and streamlining design processes. ML can automate tasks, predict performance outcomes, and tailor spaces to user preferences. However, the emotional, cultural, and aesthetic dimensions of design remain crucial for creating spaces that truly resonate with users-elements that ML alone cannot address. The key challenge lies in harmonizing data-driven effi…

Newtonian potentials of Legendre polynomials on rectangles have displacement structure
Sheehan Olver
https://arxiv.org/abs/2506.03003 https://

Newtonian potentials of Legendre polynomials on rectangles have displacement structure
Particular solutions of the Poisson equation can be constructed via Newtonian potentials, integrals involving the corresponding Green's function which in two-dimensions has a logarithmic singularity. The singularity represents a significant challenge for computing the integrals, which is typically overcome via specially designed quadrature methods involving a large number of evaluations of the function and kernel. We present an attractive alternative: we show that Newtonian potentials (and thei…

On Loops in critical high-dimensional percolation
Amelia Carpenter, Wendelin Werner
https://arxiv.org/abs/2507.02676 https://arxiv.or…

On Loops in critical high-dimensional percolation
We discuss the following type of results about critical Bernoulli percolation in high dimensions: The collection of clusters that do contain large (self-avoiding) loops in a large box is tight. The collection of these large loops has scaling limits that one will be able to relate to Brownian loop-soups (each of these atypical loop-containing clusters does in some sense only contain one large self-avoiding loop in the sense that any two such loops will be very close). This feature contrasts with…

On the resolvent convergence of discrete Dirac operators on 3D cubic lattices
Karl Michael Schmidt, Tomio Umeda
https://arxiv.org/abs/2507.01443 https://…

On the resolvent convergence of discrete Dirac operators on 3D cubic lattices
We prove that the discrete Dirac operators in three dimensions converge to the continuum Dirac operators in the strong resolvent sense, but not in the norm resolvent sense.

Rust Implementation of Finite Element Exterior Calculus on Coordinate-Free Simplicial Complexes
Luis Wirth
https://arxiv.org/abs/2506.02429 https://…

Rust Implementation of Finite Element Exterior Calculus on Coordinate-Free Simplicial Complexes
This thesis presents the development of a novel finite element library in Rust based on the principles of Finite Element Exterior Calculus (FEEC). The library solves partial differential equations formulated using differential forms on abstract, coordinate-free simplicial complexes in arbitrary dimensions, employing an intrinsic Riemannian metric derived from edge lengths via Regge Calculus. We focus on solving elliptic Hodge-Laplace eigenvalue and source problems on the nD de Rham complex. We …

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…

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II)
Xinfeng Hu, Li Tu, Yi Zhou
https://arxiv.org/abs/2507.01317

Physical Space Proof of Bilinear Estimates and Applications to Nonlinear Dispersive Equations (II)
We study the Zakharov system in two and three spatial dimensions, reproducing the optimal local well-posedness results from Bejenaru-Herr-Holmer-Tataru [2] and Bejenaru-Herr [1]. The main tools are similar to [16], based on a bilinear estimate, which is proved in a physical space approach by a new type of div-curl lemma. The new ingredient of our proof is a Strichartz estimate with mixed spatial integrability.

Rectangular $C^1$-$Q_k$ Bell finite elements in two and three dimensions
Hongling Hu, Shangyou Zhang
https://arxiv.org/abs/2506.23702 https://

Rectangular $C^1$-$Q_k$ Bell finite elements in two and three dimensions
Both the function and its normal derivative on the element boundary are $Q_k$ polynomials for the Bogner-Fox-Schmit $C^1$-$Q_k$ finite element functions. Mathematically, to keep the optimal order of approximation, their spaces are required to include $P_k$ and $P_{k-1}$ polynomials respectively. We construct a Bell type $C^1$-$Q_k$ finite element on rectangular meshes in 2D and 3D, which has its normal derivative as a $Q_{k-1}$ polynomial on each face, for $k\ge 4$. We show, with a big re…

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…

On the Vanishing Viscosity Limit for Inhomogeneous Incompressible Navier-Stokes Equations on Bounded Domains
Jens Schr\"oder, Emil Wiedemann
https://arxiv.org/abs/2507.01642 …

On the Vanishing Viscosity Limit for Inhomogeneous Incompressible Navier-Stokes Equations on Bounded Domains
In this paper we study the vanishing viscosity limit for the inhomogeneous incompressible Navier-Stokes equations on bounded domains with no-slip boundary condition in two or three space dimensions. We show that, under suitable assumptions on the density, we can establish the convergence in energy space of Leray-Hopf type solutions of the Navier-Stokes equation to a smooth solution of the Euler equations if and only if the energy dissipation vanishes on a boundary layer with thickness proportio…

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…

This https://arxiv.org/abs/2504.19364 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

A Perturbatively Stable Non-Supersymmetric String Model with AdS Vacuum
We present a construction of a perturbatively stable non-supersymmetric type II closed string model in four dimensions. It is based on a freely acting Scherk-Schwarz Z2-deformation of a supersymmetric construction which is recovered in appropriate decompactification limits. The model exhibits also the so-called misaligned supersymmetry with alternating signs for the number difference between bosons and fermions at successive mass levels. The tree-level spectrum is tachyon free for any value of …

An energy-stable parametric finite element method for the Willmore flow in three dimensions
Weizhu Bao, Yifei Li, Dongmin Wang
https://arxiv.org/abs/2506.21025

An energy-stable parametric finite element method for the Willmore flow in three dimensions
This work develops novel energy-stable parametric finite element methods (ES-PFEM) for the Willmore flow and curvature-dependent geometric gradient flows of surfaces in three dimensions. The key to achieving the energy stability lies in the use of two novel geometric identities: (i) a reformulated variational form of the normal velocity field, and (ii) incorporation of the temporal evolution of the mean curvature into the governing equations. These identities enable the derivation of a new vari…

Conformal Green functions and Yamabe metrics of Sobolev regularity
Rodrigo Avalos, Albachiara Cogo, Andoni Royo Abrego
https://arxiv.org/abs/2507.01674 htt…

Conformal Green functions and Yamabe metrics of Sobolev regularity
We provide a full resolution of the Yamabe problem on closed 3-manifolds for Riemannian metrics of Sobolev class $W^{2,q}$ with $q > 3$. This requires developing an elliptic theory for the conformal Laplacian for rough metrics and establishing existence, regularity and a delicate blow-up analysis for its Green function. Most of the analytical work is carried out in dimensions $n \geq 3$ and for $W^{2,q}$ Riemannian metrics with $q>\tfrac{n}{2}$ and should be of independent interest.

Cosmological constraints from UV/IR mixing
Niccol\`o Cribiori, Flavio Tonioni
https://arxiv.org/abs/2507.02738 https://arxiv.org/pdf/…

Cosmological constraints from UV/IR mixing
Holography and entropy bounds suggest that the ultraviolet (UV) and infrared (IR) cutoffs of gravitational effective theories are related to one another as a form of UV/IR mixing. Motivated by this, we derive a bound on the allowed scalar field range in theories with cosmic horizons. We show how this bound challenges several inflationary scenarios, such as $α$-attractors and modular-invariant inflation. Besides, we find a relation between the number of extra spatial dimensions and the tensor-t…

On general and complete multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws
Elena Gaburro, Mario Ricchiuto, Michael Dumbser
https://arxiv.org/abs/2506.00207

On general and complete multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws
In this work, we introduce a framework to design multidimensional Riemann solvers for nonlinear systems of hyperbolic conservation laws on general unstructured polygonal Voronoi-like tessellations. In this framework we propose two simple but complete solvers. The first method is a direct extension of the Osher-Solomon Riemann solver to multiple space dimensions. Here, the multidimensional numerical dissipation is obtained by integrating the absolute value of the flux Jacobians over a dual trian…

Gravitomagnetism from Temporal Dimensional Reduction
Mehran Z-Abyaneh, Mehrdad Farhoudi
https://arxiv.org/abs/2506.00525 https://arxi…

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…

Higher-form anomalies and state-operator correspondence beyond conformal invariance
Stathis Vitouladitis
https://arxiv.org/abs/2507.01104 https://

Higher-form anomalies and state-operator correspondence beyond conformal invariance
We establish a state-operator correspondence for a class of non-conformal quantum field theories with continuous higher-form symmetries and a mixed anomaly. Such systems can always be realised as a relativistic superfluid. The symmetry structure induces an infinite tower of conserved charges, which we construct explicitly. These charges satisfy an abelian current algebra with a central extension, generalising the familiar Kac-Moody algebras to higher dimensions. States and operators are organis…