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3e8a1aacf2ae5faba8500c165b19e5076e7e23f0ea2973e8e6b356f76df24e6e | 2026-01-21T00:00:00-05:00 | Going beyond density functional theory accuracy: Leveraging experimental data to refine pre-trained machine learning interatomic potentials | arXiv:2506.10211v2 Announce Type: replace-cross Abstract: Machine learning interatomic potentials (MLIPs) are inherently limited by the accuracy of the training data, usually consisting of energies and forces obtained from quantum mechanical calculations, such as density functional theory (DFT). Since DFT itself is bas... | https://arxiv.org/abs/2506.10211 | Academic Papers | svg |
ea7ad3d30113463c381547aecb40be2784f82c10e2a14806510cbe6f25f358cb | 2026-01-21T00:00:00-05:00 | Toward a Circular Nanotechnology for Biofuels: Integrating Sustainable Synthesis, Recovery, and Performance Optimization | arXiv:2506.17548v2 Announce Type: replace-cross Abstract: This review exhaustively evaluates the role of nanomaterials across the synthesis, characterization and application stages of biofuel systems. Common types of nanomaterials that are used for biofuel applications include metal oxides, carbon-based structures, and... | https://arxiv.org/abs/2506.17548 | Academic Papers | svg |
4b1699a262d2a9375b5373162eb5eae79f523430d5704b928061db1334f0f6b0 | 2026-01-21T00:00:00-05:00 | Classification of curl forces for all space dimensions | arXiv:2507.09817v2 Announce Type: replace-cross Abstract: We present a decomposition of classical potentials into a conservative (gradient) component and a non-conservative component. The latter generalizes the curl component of the force in the three-dimensional case. The force is transformed into a differential $1$-f... | https://arxiv.org/abs/2507.09817 | Academic Papers | svg |
f2abc4cb1deb5673b9b70399990fe5ea112c9d175ac170d808253879bd3bb9c5 | 2026-01-21T00:00:00-05:00 | Nonlinear phase synchronization and the role of spacing in shell models | arXiv:2507.14142v2 Announce Type: replace-cross Abstract: A shell model can be considered as a chain of triads, where each triad can be interpreted as a nonlinear oscillator that can be mapped to a spinning top. Investigating the relation between phase dynamics and intermittency in a such a chain of nonlinear oscillato... | https://arxiv.org/abs/2507.14142 | Academic Papers | svg |
62e5f1659a7a4ef9a2df4f3327b7f7e722d7852f03fe60ee245c78b4a22a20c3 | 2026-01-21T00:00:00-05:00 | Enhanced sensitivity to trace $^{238}$U impurity of sapphire via coincidence neutron activation analysis | arXiv:2508.04232v3 Announce Type: replace-cross Abstract: Sapphire has mechanical and electrical properties that are advantageous for the construction of internal components of radiation detectors such as time projection chambers and bolometers. However, it has proved difficult to assess its $\rm ^{232}Th$ and $\rm ^{2... | https://arxiv.org/abs/2508.04232 | Academic Papers | svg |
ab620a68b329c8a4120ddd541fed6b9034d540c4a7e8ec848d90546cba085203 | 2026-01-21T00:00:00-05:00 | Robust Control and Entanglement of Qudits in Neutral Atom Arrays | arXiv:2508.16294v2 Announce Type: replace-cross Abstract: Quantum devices comprised of elementary components with more than two stable levels - so-called qudits - enrich the accessible Hilbert space, enabling applications ranging from fault-tolerant quantum computing to simulating complex many-body models. While severa... | https://arxiv.org/abs/2508.16294 | Academic Papers | svg |
1146c03293d42fc0c3d263a090d949effbdf6d07cb6b55e839ce79ddf14bd762 | 2026-01-21T00:00:00-05:00 | Floquet-engineered moire quasicrystal patterns of ultracold Bose gases in twisted bilayer optical lattices | arXiv:2508.21093v5 Announce Type: replace-cross Abstract: We investigate the formation of moire quasicrystal patterns in Bose gasses confined in twisted bilayer optical lattices via Floquet-engineered intralayer atomic interactions. Dynamical evolutions of the total density wave amplitude exhibit the stage for the emer... | https://arxiv.org/abs/2508.21093 | Academic Papers | svg |
d61eda08b5f50d8551a5b4f675495e5614faac740edb0a06dddf3cd79e33116a | 2026-01-21T00:00:00-05:00 | Coherent Two-State Oscillations in False Vacuum Decay Regimes | arXiv:2509.04272v2 Announce Type: replace-cross Abstract: Coherent two-state oscillations are observed in numerical simulations of the one-dimensional transverse-longitudinal-field Ising model (TLFIM) within false vacuum decay regimes. Starting from the false vacuum (a nearly fully polarized ferromagnetic state), we sh... | https://arxiv.org/abs/2509.04272 | Academic Papers | svg |
972de93ba001c5f21b0ec3cd3a3cc91357d71958aad13720275d224e56a1d840 | 2026-01-21T00:00:00-05:00 | Transfer tensor analysis of localization in the Anderson and Aubry-Andr\'e-Harper models | arXiv:2509.21374v2 Announce Type: replace-cross Abstract: We use the transfer tensor method to analyze localization and transport in simple disordered systems, specifically the Anderson and Aubry-Andr\'e-Harper models. Emphasis is placed on the memory effects that emerge when ensemble-averaging over disorder, even when... | https://arxiv.org/abs/2509.21374 | Academic Papers | svg |
f12150ff10f92846190602ec3ae1e57c7535546e24bdbc04168228560b15e78c | 2026-01-21T00:00:00-05:00 | Vector Nematodynamics with Symmetry-driven Energy Exchange | arXiv:2510.24177v2 Announce Type: replace-cross Abstract: We review inadequacy of existing nematodynamic theories and suggest a novel way of establishing relations between nematic orientation and flow based on the \emph{local} symmetry between simultaneous rotation of nematic alignment and flow, which establishes energ... | https://arxiv.org/abs/2510.24177 | Academic Papers | svg |
f4b185e33945e0fb037e6b4b6357bf9a8ecd2685eecf038478b63c09125ea13a | 2026-01-21T00:00:00-05:00 | Beyond MMD: Evaluating Graph Generative Models with Geometric Deep Learning | arXiv:2512.14241v2 Announce Type: replace-cross Abstract: Graph generation is a crucial task in many fields, including network science and bioinformatics, as it enables the creation of synthetic graphs that mimic the properties of real-world networks for various applications. Graph Generative Models (GGMs) have emerged... | https://arxiv.org/abs/2512.14241 | Academic Papers | svg |
31c9198c0c65d7948409d56ce7a58bd8e429dd784fce54c6d5e7ce47da01dbae | 2026-01-21T00:00:00-05:00 | Robustness of the Frank-Wolfe Method under Inexact Oracles and the Cost of Linear Minimization | arXiv:2601.11548v1 Announce Type: new Abstract: We investigate the robustness of the Frank-Wolfe method when gradients are computed inexactly and examine the relative computational cost of the linear minimization oracle (LMO) versus projection. For smooth nonconvex functions, we establish a convergence guarantee of ord... | https://arxiv.org/abs/2601.11548 | Academic Papers | svg |
44b6504270b6ff6408188336e6df342e1565dc4e3e491f71f30b4a26c2d2b3c0 | 2026-01-21T00:00:00-05:00 | Minimal Perimeter Triangle in Nonconvex Quadrilateral:Generalized Fagnano Problem | arXiv:2601.11552v1 Announce Type: new Abstract: In 1775, Fagnano introduced the following geometric optimization problem: inscribe a triangle of minimal perimeter in a given acute-angled triangle. A widely accessible solution is provided by the Hungarian mathematician L. Fejer in 1900. This paper presents a specific ge... | https://arxiv.org/abs/2601.11552 | Academic Papers | svg |
24826f64081f0d638eed7dd0c9ab93ff3841c74aedc1c7511b2277cc179ec331 | 2026-01-21T00:00:00-05:00 | A Generalized Waist Problem: Optimality Condition and Algorithm | arXiv:2601.11554v1 Announce Type: new Abstract: Many years ago John Tyrell a lecturer at King's college London challenged his Ph.D. students with the following puzzle: show that there is a unique triangle of minimal perimeter with exactly one vertex to lie on one of three given lines, pairwise disjoint and not all para... | https://arxiv.org/abs/2601.11554 | Academic Papers | svg |
618eeb9fddd76bac2838228c7fc125095e798f3af6d03c3bb95814d2a13b5ff7 | 2026-01-21T00:00:00-05:00 | A Generalized $(k,m)$ Heron Problem:Optimality Conditions and Algorithm | arXiv:2601.11555v1 Announce Type: new Abstract: This paper presents a new extension of the classical Heron problem, termed the generalized $(k,m)$-Heron problem, which seeks an optimal configuration among $k$ feasible and $m$ target non-empty closed convex sets in $\mathbb{R}^n$. The problem is formulated as finding a ... | https://arxiv.org/abs/2601.11555 | Academic Papers | svg |
2cad51d6100e1d8bdcd761f50fa1ef8ff073da9bf9c7493cd1b001fd86a48186 | 2026-01-21T00:00:00-05:00 | The global well-posedness for master equations of mean field games of controls | arXiv:2601.11588v1 Announce Type: new Abstract: In this manuscript, we establish the global well-posedness for master equations of mean field games of controls, where the interaction is through the joint law of the state and control. Our results are proved under two different conditions: the Lasry-Lions monotonicity an... | https://arxiv.org/abs/2601.11588 | Academic Papers | svg |
f5d208e81ed8971b5ab218e60b32f7b7f8ef0b5aab1c9495b77d5100e75a104d | 2026-01-21T00:00:00-05:00 | Poisson semigroup and the Gruet formula for the heat kernels on spaces of constant curvature | arXiv:2601.11596v1 Announce Type: new Abstract: This paper is concerned with the Poisson and heat equations on spaces of constant curvature. More explicitly we provide new methods for obtaining old and new explicit formulas for the Poisson and heat semigroups on the Euclidean, spherical and hyperbolic spaces $\R^n$, $\... | https://arxiv.org/abs/2601.11596 | Academic Papers | svg |
7abd9c3c84a054bfe40933efc01a814519839e2b14e6c3b821b6c5a153025da4 | 2026-01-21T00:00:00-05:00 | Boundary Delocalization and Spectral Packets for Dirichlet Eigenfunctions | arXiv:2601.11605v1 Announce Type: new Abstract: We establish a boundary delocalization principle for high-frequency Dirichlet eigenfunctions on smooth strictly convex domains. The main result excludes persistent boundary concentration at the level of individual eigenmodes when compared to short spectral packets of subl... | https://arxiv.org/abs/2601.11605 | Academic Papers | svg |
9372ef587b036fca6bde0fb381b6d0924b6da81a3c6c4d307d9ca0ef55d1375b | 2026-01-21T00:00:00-05:00 | Concatenated Matrix SVD: Compression Bounds, Incremental Approximation, and Error-Constrained Clustering | arXiv:2601.11626v1 Announce Type: new Abstract: Large collections of matrices arise throughout modern machine learning, signal processing, and scientific computing, where they are commonly compressed by concatenation followed by truncated singular value decomposition (SVD). This strategy enables parameter sharing and e... | https://arxiv.org/abs/2601.11626 | Academic Papers | svg |
19d7092cf3798ac6af13a0dc50c163bb49fb2d588f38543e4ac3819ffc6a2b5b | 2026-01-21T00:00:00-05:00 | Qualitative analysis and numerical investigations of time-fractional Zika virus model arising in population dynamics | arXiv:2601.11636v1 Announce Type: new Abstract: Epidemic models play a crucial role in population dynamics, offering valuable insights into disease transmission while aiding in epidemic prediction and control. In this paper, we analyze the mathematical model of the time-fractional Zika virus transmission for human and ... | https://arxiv.org/abs/2601.11636 | Academic Papers | svg |
51d0f729a014dd33d6d30efeb8e8566f0066bfa2fed916acd2212e19122ea7fa | 2026-01-21T00:00:00-05:00 | A note on Reeb spaces of some explicit real analytic functions | arXiv:2601.11648v1 Announce Type: new Abstract: Reeb spaces of smooth functions are fundamental and strong tools in understanding manifolds via smooth functions with mild critical points. They are defined as the natural spaces of all connected components of level sets. They are also important objects in related studies... | https://arxiv.org/abs/2601.11648 | Academic Papers | svg |
7936867cf10fb89619e02c0d20e3129f35d0c45e050a6e24170984e2ffa86d70 | 2026-01-21T00:00:00-05:00 | Dirichlet Extremals for Discrete Plateau Problems in GT-Bezier Spaces via PSO | arXiv:2601.11677v1 Announce Type: new Abstract: We study a discrete analogue of the parametric Plateau problem in a non-polynomial tensor-product surface spaces generated by the generalized trigonometric (GT)--B\'ezier basis. Boundary interpolation is imposed by prescribing the boundary rows and columns of the control ... | https://arxiv.org/abs/2601.11677 | Academic Papers | svg |
6ce58fe5e6eb7ec1d84719a551c21c617806cda27a445609bc48aaccb409230e | 2026-01-21T00:00:00-05:00 | Five Circles: Real Analysis Theorems equivalent to Completeness | arXiv:2601.11681v1 Announce Type: new Abstract: This is an exposition of the work of O. Riemenschneider about five ''circles'' of implications relating real analysis theorems each equivalent to the Dedekind completeness of the real field. These circles cover five elements of real function theory: convergence, connected... | https://arxiv.org/abs/2601.11681 | Academic Papers | svg |
f10de7fafa73b95487259523ab34e0662d61e09ff6387010cbdfd54ba4ee0d15 | 2026-01-21T00:00:00-05:00 | Age-Based Scheduling for a Memory-Constrained Quantum Switch | arXiv:2601.11698v1 Announce Type: new Abstract: In a time-slotted system, we study the problem of scheduling multipartite entanglement requests in a quantum switch with a finite number of quantum memory registers. Specifically, we consider probabilistic link-level entanglement (LLE) generation for each user, probabilis... | https://arxiv.org/abs/2601.11698 | Academic Papers | svg |
b29e40cee457c2492d923e75e6544df758eb4635568f5aa417840cd10ec260c3 | 2026-01-21T00:00:00-05:00 | Stability and Accuracy Trade-offs in Statistical Estimation | arXiv:2601.11701v1 Announce Type: new Abstract: Algorithmic stability is a central concept in statistics and learning theory that measures how sensitive an algorithm's output is to small changes in the training data. Stability plays a crucial role in understanding generalization, robustness, and replicability, and a va... | https://arxiv.org/abs/2601.11701 | Academic Papers | svg |
98dfbb9b1239d0c6b2538ad821dd3c61477bd64cbd9317ad8b812e8646b3ded2 | 2026-01-21T00:00:00-05:00 | Detecting Mutual Excitations in Non-Stationary Hawkes Processes | arXiv:2601.11717v1 Announce Type: new Abstract: We consider the problem of learning the network of mutual excitations (i.e., the dependency graph) in a non-stationary, multivariate Hawkes process. We consider a general setting where baseline rates at each node are time-varying and delay kernels are not shift-invariant.... | https://arxiv.org/abs/2601.11717 | Academic Papers | svg |
8cd694e77d63cae37956c1bedf139d4926328500c4c6a2699cac259c44f518d4 | 2026-01-21T00:00:00-05:00 | Asymptotically Optimal Tests for One- and Two-Sample Problems | arXiv:2601.11727v1 Announce Type: new Abstract: In this work, we revisit the one- and two-sample testing problems: binary hypothesis testing in which one or both distributions are unknown. For the one-sample test, we provide a more streamlined proof of the asymptotic optimality of Hoeffding's likelihood ratio test, whi... | https://arxiv.org/abs/2601.11727 | Academic Papers | svg |
4a2b5e4d30636c992597412b869e2a49aca8e36b4cfc81b97176cec978f923c8 | 2026-01-21T00:00:00-05:00 | Positive energy-momentum theorems for asymptotically AdS spin initial data sets with charge | arXiv:2601.11728v1 Announce Type: new Abstract: For complete spin initial data sets with an asymptotically anti--de Sitter end, we introduce a charged energy--momentum defined as a linear functional arising from the Einstein--Maxwell constraints. Under a dominant energy condition adapted to the presence of a negative c... | https://arxiv.org/abs/2601.11728 | Academic Papers | svg |
77cbe4cc5d1a29537c5fa36ef6a15192fc138c9c0eb0155d14b51375a0e156ce | 2026-01-21T00:00:00-05:00 | Construction of a Gibbs measure for the zonal Dirac equation | arXiv:2601.11730v1 Announce Type: new Abstract: We propose a framework to construct Gibbs measures for the Dirac equation. We consider the Dirac equation on the sphere with a "Hartree-type" nonlinearity. We consider a zonal model, that is the analog of a spherically symmetric model but on the sphere. We build a Gibbs m... | https://arxiv.org/abs/2601.11730 | Academic Papers | svg |
ac7ad8d43aae9a64876c4b5cef8e5f4b514c7f0fdca900f4ef35ec03585d67c7 | 2026-01-21T00:00:00-05:00 | Multiary gradings | arXiv:2601.11738v1 Announce Type: new Abstract: This article develops a comprehensive theory of multiary graded polyadic algebras, extending the classical concept of group-graded algebras to higher-arity structures. We introduce the notion of grading by multiary groups and investigate various compatibility conditions b... | https://arxiv.org/abs/2601.11738 | Academic Papers | svg |
aff2645393eae7dde5d7842af261cdbd7a8ffcd78438dd7754e61fca832cd140 | 2026-01-21T00:00:00-05:00 | Integrated Optimization of Scheduling and Flexible Charging in Mixed Electric-Diesel Urban Transit Bus Systems | arXiv:2601.11751v1 Announce Type: new Abstract: The transition of transit fleets to alternative powertrains offers a potential pathway to reducing the cost of mobility. However, the limited range and long charging durations of battery electric buses (BEBs) introduce significant operational complexities, necessitating i... | https://arxiv.org/abs/2601.11751 | Academic Papers | svg |
5a1c281ceeae288970db1b03b1adf7e4f651443050ce95623cd2854539cadc6a | 2026-01-21T00:00:00-05:00 | Existence of Decreasing Nambu Solutions to the Rainbow Ladder Gap Equation of QCD by Cone Compression | arXiv:2601.11752v1 Announce Type: new Abstract: Studying Nambu solutions of the rainbow-ladder gap equation in QCD at zero temperature and chemical potential, we prove that the mass function emerges continuously from zero as the interaction strength is increased past the critical point for all positive, asymptotically ... | https://arxiv.org/abs/2601.11752 | Academic Papers | svg |
d647934ff2898e5babe7b03d5dec1965e5ea04cb36d11c3f12c3cfb6ee8a8483 | 2026-01-21T00:00:00-05:00 | A volume formula for Reuleaux polyhedra | arXiv:2601.11756v1 Announce Type: new Abstract: A ball polyhedron is a finite intersection of congruent balls in $\mathbb{R}^3$. These shapes arise in various contexts in discrete and convex geometry. We focus on Reuleaux polyhedra, the subclass of ball polyhedra whose centers and vertices coincide. Building on Bogosel... | https://arxiv.org/abs/2601.11756 | Academic Papers | svg |
6554e790f6c200ec1ebee512b5f1bbe034454096170a9f5bc9ee7d352a760b40 | 2026-01-21T00:00:00-05:00 | Nonautonomous Linear Systems: Exponential Dichotomy and its Applications | arXiv:2601.11759v1 Announce Type: new Abstract: The first purpose of this work is to provide a friendly introduction to the theory of nonautonomous linear systems of ordinary differential equations, the property of exponential dichotomy and its corresponding spectral theory. The second purpose of this work is dissemina... | https://arxiv.org/abs/2601.11759 | Academic Papers | svg |
3d0cf74d5138488e9fbcef8c751c243d915b4c6935b27ffa5a56998d4fd6a13b | 2026-01-21T00:00:00-05:00 | Solving High-Dimensional PDEs Using Linearized Neural Networks | arXiv:2601.11771v1 Announce Type: new Abstract: Linearized shallow neural networks that are constructed by fixing the hidden-layer parameters have recently shown strong performance in solving partial differential equations (PDEs). Such models, widely used in the random feature method (RFM) and extreme learning machines... | https://arxiv.org/abs/2601.11771 | Academic Papers | svg |
3bed93fb0a3fe59c759050b611a69bdcb36690b61c2ee5a2bcdc638ce6ebb3c0 | 2026-01-21T00:00:00-05:00 | On the Narrow 2-Class Field Tower of Some Real Quadratic Number Fields: Lengths Heuristics Follow-Up | arXiv:2601.11773v1 Announce Type: new Abstract: In this article we continue the investigation of the length of the narrow $2$-class field tower of real quadratic number fields $\mathrm{k}$ whose discriminants are not a sum of two squares and for which their $2$-class groups are elementary of order $4$. Letting $\mathrm... | https://arxiv.org/abs/2601.11773 | Academic Papers | svg |
79a30fd1dd26a336568f413b2da2b1ddb217295ef70a5ac53b55333dfe49fb5a | 2026-01-21T00:00:00-05:00 | Mixed-Integer Reaggregated Hull Reformulation of Special Structured Generalized Linear Disjunctive Programs | arXiv:2601.11782v1 Announce Type: new Abstract: Generalized Disjunctive Programming (GDP) provides a powerful framework for combining algebraic constraints with logical disjunctions. To solve these problems, mixed-integer reformulations are required, but traditional reformulation schemes, such as Big-M and Hull, either... | https://arxiv.org/abs/2601.11782 | Academic Papers | svg |
fadfe53b83059430e08a0b32f48c0c6890d52a4ec0b492d451b7540397e2698a | 2026-01-21T00:00:00-05:00 | Projected Stochastic Momentum Methods for Nonlinear Equality-Constrained Optimization for Machine Learning | arXiv:2601.11795v1 Announce Type: new Abstract: Two algorithms are proposed, analyzed, and tested for solving continuous optimization problems with nonlinear equality constraints. Each is an extension of a stochastic momentum-based method from the unconstrained setting to the setting of a stochastic Newton-SQP-type alg... | https://arxiv.org/abs/2601.11795 | Academic Papers | svg |
f9c20f57660bdc72209e19873d00f7e5e8fda14cf4d4bfca72831e1d9da8f1d4 | 2026-01-21T00:00:00-05:00 | The Noisy Quantitative Group Testing Problem | arXiv:2601.11797v1 Announce Type: new Abstract: In this paper, we study the problem of quantitative group testing (QGT) and analyze the performance of three models: the noiseless model, the additive Gaussian noise model, and the noisy Z-channel model. For each model, we analyze two algorithmic approaches: a linear esti... | https://arxiv.org/abs/2601.11797 | Academic Papers | svg |
13b6c1531bbcc2a993fa5064a0cd1ce72291f7d107f1a6d7b7e69597f36d87e6 | 2026-01-21T00:00:00-05:00 | Distance of Quadratic Algebraic Numbers from the Middle-Third Cantor Set | arXiv:2601.11799v1 Announce Type: new Abstract: We study the distance from quadratic irrational numbers to the middle-third Cantor set $C$. Mahler asked whether $C$ contains any irrational algebraic numbers; this remains open even for quadratic irrationals. Rather than assuming an answer to this problem, we obtain unif... | https://arxiv.org/abs/2601.11799 | Academic Papers | svg |
e20f5a60d1362030bc23945c176db69469987e578dec52a83a08e38f8774e805 | 2026-01-21T00:00:00-05:00 | On large periodic traveling surface waves in porous media | arXiv:2601.11800v1 Announce Type: new Abstract: We study large traveling surface waves within a two-dimensional finite depth, free boundary, homogeneous, incompressible and viscous fluid governed by Darcy's law. The fluid is bound by a gravitational force to a flat rigid bottom and meets an atmosphere of constant press... | https://arxiv.org/abs/2601.11800 | Academic Papers | svg |
bb200d4cc039f8694786e74b06450af59b7875f401627268106590981b999874 | 2026-01-21T00:00:00-05:00 | Classification of dynamics for a two person model of planned behavior | arXiv:2601.11804v1 Announce Type: new Abstract: We study a dynamical system modeling the Theory of Planned Behavior (TPB) in which each individual's behavioral intention evolves continuously under an ODE driven by internal attitudes, perceived social norms, and perceived behavioral control. Actions occur as discrete th... | https://arxiv.org/abs/2601.11804 | Academic Papers | svg |
d7cba75602109d67a48b30257011a823dcf4b5fec6caa48f94fa7120f4d1c7fd | 2026-01-21T00:00:00-05:00 | Rank of normal functions and Betti strata | arXiv:2601.11805v1 Announce Type: new Abstract: In a recent work of the authors, we proved the generic positivity of the Beilinson-Bloch heights of the Gross-Schoen and Ceresa cycles. The geometric part of the proof was to prove the maximality of the rank of the associated normal function and the Zariski closedness of ... | https://arxiv.org/abs/2601.11805 | Academic Papers | svg |
8a6664a4eed469fad75521b98e87688994a8e1165a22438077e78fd5b516766b | 2026-01-21T00:00:00-05:00 | Infinitesimal invariants of mixed Hodge structures II: Log Clemens conjecture and log connectivity | arXiv:2601.11810v1 Announce Type: new Abstract: Following previous work, we continue the study of infinitesimal methods in mixed Hodge theory. In the first part, inspired by the deformation theory of curves on Calabi-Yau threefolds, we study deformations of smooth $\mathbb{Q}$-log Calabi-Yau pairs $(X,Y)$. We prove uno... | https://arxiv.org/abs/2601.11810 | Academic Papers | svg |
3371208c13d3686116bfbd149181bdbb4104a39a57576f2ad7b2ca056481686c | 2026-01-21T00:00:00-05:00 | The Clemens Conjectures for Cubic Threefolds relative to a Hyperplane | arXiv:2601.11813v1 Announce Type: new Abstract: We propose an analogue of the Clemens conjectures for $\frac{1}{2}$-log Calabi-Yau threefolds, specifically for the pair $(X, Y)$ where $X$ is a cubic threefold and $Y$ is a hyperplane section. By exploiting a perfect deformation/obstruction duality specific to the $\frac... | https://arxiv.org/abs/2601.11813 | Academic Papers | svg |
7d407027bf0f3ab7a8d1adc92578b6917211825069708186fe45aee3950c7e3c | 2026-01-21T00:00:00-05:00 | The maximal mean equicontinuous factor via regional mean sensitivity | arXiv:2601.11814v1 Announce Type: new Abstract: For actions of amenable groups, mean equicontinuity-a natural relaxation of equicontinuity obtained by averaging metrics along orbits-is well known to yield a maximal mean equicontinuous factor. In 2021, Li and Yu introduced the notion of weak sensitivity in the mean for ... | https://arxiv.org/abs/2601.11814 | Academic Papers | svg |
c64f5629d121e2d63c8619c39c4d52687cb89b23c26ccd297ab8eb30b89cdc64 | 2026-01-21T00:00:00-05:00 | Bayesian ICA for Causal Discovery | arXiv:2601.11815v1 Announce Type: new Abstract: Causal discovery based on Independent Component Analysis (ICA) has achieved remarkable success through the LiNGAM framework, which exploits non-Gaussianity and independence of noise variables to identify causal order. However, classical LiNGAM methods rely on the strong a... | https://arxiv.org/abs/2601.11815 | Academic Papers | svg |
c68d81d6216c6d745ef2ddea1c93636cacc7febdae6ccdf0be055a1846453ddc | 2026-01-21T00:00:00-05:00 | Large deviations and the matrix product ansatz | arXiv:2601.11820v1 Announce Type: new Abstract: We consider probability measures on $A^N$, the set of sequences of symbols on a finite alphabet $A$ of length $N$, that give a weight to each sequence in terms of a collection of matrices with non-negative entries and having rows and columns labeled by a finite or countab... | https://arxiv.org/abs/2601.11820 | Academic Papers | svg |
4cb0ca154968a3cc598815d12ef9d7f999f7f7ebd3aecb65f0fde009bc6606c2 | 2026-01-21T00:00:00-05:00 | A high-order augmented Lagrangian method with arbitrarily fast convergence | arXiv:2601.11826v1 Announce Type: new Abstract: We propose a high-order version of the augmented Lagrangian method for solving convex optimization problems with linear constraints, which achieves arbitrarily fast -- and even superlinear -- convergence rates. First, we analyze the convergence rates of the high-order pro... | https://arxiv.org/abs/2601.11826 | Academic Papers | svg |
07c379d04179640fa9f30540f9613143ce8e0fa8ac9bba0351c8f058b0aea578 | 2026-01-21T00:00:00-05:00 | Topological and Purely Topological Alignment Dynamics | arXiv:2601.11828v1 Announce Type: new Abstract: We study the Euler Alignment system of collective behavior, equipped with `topological' interaction protocols, which were introduced to the mathematical literature by Shvydkoy and Tadmor. Interactions subject to these protocols may depend on both the Euclidean distance be... | https://arxiv.org/abs/2601.11828 | Academic Papers | svg |
90c8192423e65dc5e93cd3259eb6ae7f91ac625c4166674f56f5d263e01dabcb | 2026-01-21T00:00:00-05:00 | Fractional Supershifts and their associated Cauchy Evolution problems | arXiv:2601.11829v1 Announce Type: new Abstract: In this work, we extend the notion of supershifts and superoscillation sequence to fractional Fock spaces based on Gelfond-Leontiev fractional derivatives. We first introduce the fractional supershifts sequence, and then discuss the associated evolution Cauchy problem wit... | https://arxiv.org/abs/2601.11829 | Academic Papers | svg |
892732e5b66ca83ad0cbc21049161ab58bb6e1b01bada34af136464313dea99a | 2026-01-21T00:00:00-05:00 | Subspaces of $L^2(\mathbb{R}^n)$ Invariant Under Shifts by a Crystal Group | arXiv:2601.11839v1 Announce Type: new Abstract: For a crystal group $\Gamma$ in dimension $n$, a closed subspace $\mathcal{V}$ of $L^2(\mathbb{R}^n)$ is called $\Gamma$--shift invariant if, for every $f\in\mathcal{V}$, the shifts of $f$ by every element of $\Gamma$ also belong to $\mathcal{V}$. The main purpose of this... | https://arxiv.org/abs/2601.11839 | Academic Papers | svg |
972bbfc8b8e57fdc1fa04b22c6f5aee6f6cb0446df6cb6b759f2f0630673b219 | 2026-01-21T00:00:00-05:00 | Greedily Constructing Small Quasi-Kernels | arXiv:2601.11847v1 Announce Type: new Abstract: In a digraph $D$,a quasi-kernel is an independent set $Q$ such that for every vertex $u$, there is a vertex $v \in Q$ satisfying $\text{dist}(v,u)\leq 2$. In 1974 Chv\'atal and Lov\'asz showed every digraph contains a quasi-kernel. In 1976, P. L. Erd\H{o}s and Sz\'ekely c... | https://arxiv.org/abs/2601.11847 | Academic Papers | svg |
9233c47f2f68ce300e906773b12d35458cd52afd227d40eee97f3f2a7484b3dc | 2026-01-21T00:00:00-05:00 | Weighted fractional ultrahyperbolic diffusion on geometrically deformed domains | arXiv:2601.11851v1 Announce Type: new Abstract: Standard fractional models on manifolds often conflate geometric anisotropy with medium heterogeneity. In this Letter, we overcome this rigidity by deriving the fundamental solution for a weighted space-time fractional ultrahyperbolic operator, denoted by $(-\Box_{\phi,\o... | https://arxiv.org/abs/2601.11851 | Academic Papers | svg |
99e9feb74035c7b57bfb9ee57bc96fac6830bec4ddc9fa532c0ebf812fced54e | 2026-01-21T00:00:00-05:00 | Global weak solutions to the isentropic compressible Navier--Stokes equations with vacuum and unbounded density in a half-plane under Dirichlet boundary conditions | arXiv:2601.11852v1 Announce Type: new Abstract: We establish the global existence of a class of weak solutions to the isentropic compressible Navier--Stokes equations in a half-plane with Dirichlet boundary conditions, allowing for vacuum both in the interior and at infinity, under a suitably small initial total energy... | https://arxiv.org/abs/2601.11852 | Academic Papers | svg |
d23e05716943992e0332417ddf65e93266708d5ba0a5adf78f5c61604deb4e02 | 2026-01-21T00:00:00-05:00 | New examples of twisted Brill-Noether loci II | arXiv:2601.11855v1 Announce Type: new Abstract: Our purpose in this paper is to construct new examples of twisted Brill Noether loci on curves of genus g greater than 2 with negative expected dimension. We begin by completing the proof of Butler's conjecture for coherent systems of certain type establishing the biratio... | https://arxiv.org/abs/2601.11855 | Academic Papers | svg |
0a701fd794d210e485d9959c1808973d247b3d54923c3baed3baf0a5ba471ca3 | 2026-01-21T00:00:00-05:00 | On the R\'enyi Rate-Distortion-Perception Function and Functional Representations | arXiv:2601.11862v1 Announce Type: new Abstract: We extend the Rate-Distortion-Perception (RDP) framework to the R\'enyi information-theoretic regime, utilizing Sibson's $\alpha$-mutual information to characterize the fundamental limits under distortion and perception constraints. For scalar Gaussian sources, we derive ... | https://arxiv.org/abs/2601.11862 | Academic Papers | svg |
49ed853490701c30c58b037ae4213bfad06353f295370f2f9246df70567c2b8f | 2026-01-21T00:00:00-05:00 | Open book decompositions with page a four-punctured sphere | arXiv:2601.11871v1 Announce Type: new Abstract: In this paper, we study contact structures supported by open book decompositions whose pages are four-punctured spheres. The paper is split into two parts. In the first part, we find infinitely many overtwisted, right-veering monodromies on the four-punctured sphere. This... | https://arxiv.org/abs/2601.11871 | Academic Papers | svg |
8514479bdf38988a522505030476420f81a9c353ac95e344d516226fa113da22 | 2026-01-21T00:00:00-05:00 | Simple, subdirectly irreducible weakly dicomplemented lattices | arXiv:2601.11873v1 Announce Type: new Abstract: In this work, we exhibit several subclasses of weakly dicomplemented lattices (WDLs) based on their skeletons and dual skeletons. We investigate normal filters (resp. ideals) and show that the set of normal filters (resp. ideals) forms a complete lattice, which is not a s... | https://arxiv.org/abs/2601.11873 | Academic Papers | svg |
daa22ab354b96d6a396bf1bb83380a98475971b16b8547201e2fbdabb3b38572 | 2026-01-21T00:00:00-05:00 | On the eigenvalues of cyclic covers of Paley graphs | arXiv:2601.11877v1 Announce Type: new Abstract: We study covering graphs of the Paley graph associated to a finite field of characteristic p in the case where the covering transformation group is cyclic of prime order distinct from p. When the field has q = p elements, we show that the eigenvalues of the adjacency matr... | https://arxiv.org/abs/2601.11877 | Academic Papers | svg |
c4bea8695c0f6921807e178f8bb38f11a5ed8d25d11d5cbf36559bc8ae14b3c7 | 2026-01-21T00:00:00-05:00 | Lowest eigenvalues and higher order elliptic differential operators | arXiv:2601.11882v1 Announce Type: new Abstract: Let $(M,g)$ be a closed, smooth Riemannian manifold of dimension $m \geq 1$. It is not difficult to produce an example of an elliptic differential operator on $(M,g)$ that has the property that there exists a sign-changing eigenfunction that is associated with the lowest ... | https://arxiv.org/abs/2601.11882 | Academic Papers | svg |
43264a095408549ea9e2aae11fe40e6bfc620c78ed99ceb9be26a1f37795b9c4 | 2026-01-21T00:00:00-05:00 | Analytic Regularization of a Ramanujan Machine Conjecture | arXiv:2601.11892v1 Announce Type: new Abstract: We provide a formal analytic derivation of a continued fraction identity for $-\pi/4$ recently conjectured by the Ramanujan Machine~\cite{Raayoni2021}. By utilizing the contiguous relations of the Gauss hypergeometric function ${}_2F_1(a, b; c; z)$, we establish that the ... | https://arxiv.org/abs/2601.11892 | Academic Papers | svg |
b960fecd5e4f1bf5ccfd7647302b237efd4f6c79ab3bb108c64a35f62ce06569 | 2026-01-21T00:00:00-05:00 | A Separable and Asymptotic-Preserving Dynamical Low-Rank Method for the Vlasov--Poisson--Fokker--Planck System | arXiv:2601.11900v1 Announce Type: new Abstract: We present a dynamical low-rank (DLR) method for the Vlasov--Poisson--Fokker--Planck (VPFP) system. Our main contributions are two-fold: (i) a conservative spatial discretization of the Fokker--Planck operator that factors into velocity-only and space-only components, ena... | https://arxiv.org/abs/2601.11900 | Academic Papers | svg |
41396daec2d1584111dd7fdb99f12f2ef4074048721bfa99ab9c6dbb5978fcef | 2026-01-21T00:00:00-05:00 | The Inverse Symplectic Eigenvalue Problem of a Graph | arXiv:2601.11912v1 Announce Type: new Abstract: Symplectic geometry plays an increasingly important role in mathematics, physics and applications, and naturally gives rise to interesting matrix families and properties. One of these is the notion of symplectic eigenvalues, whose existence for positive definite matrices ... | https://arxiv.org/abs/2601.11912 | Academic Papers | svg |
eaafba0f9e26f0184cac47eab3957ae8cf853f1c8c817dce83079b5cd1119bfb | 2026-01-21T00:00:00-05:00 | Rate-Distortion-Classification Representation Theory for Bernoulli Sources | arXiv:2601.11919v1 Announce Type: new Abstract: We study task-oriented lossy compression through the lens of rate-distortion-classification (RDC) representations. The source is Bernoulli, the distortion measure is Hamming, and the binary classification variable is coupled to the source via a binary symmetric model. Bui... | https://arxiv.org/abs/2601.11919 | Academic Papers | svg |
46a7d2afe47fe2eea14066cd682b9f79a6b64b2e222fdc716fc0d0b1618bf26e | 2026-01-21T00:00:00-05:00 | Phase-IDENT: Identification of Two-phase PDEs with Uncertainty Quantification | arXiv:2601.11922v1 Announce Type: new Abstract: We propose a novel method, Phase-IDENT, for identifying partial differential equations (PDEs) from noisy observations of dynamical systems that exhibit phase transitions. Such phenomena are prevalent in fluid dynamics and materials science, where they can be modeled mathe... | https://arxiv.org/abs/2601.11922 | Academic Papers | svg |
825f8dfc2ad8ce3b4f16e198f64d71bdecf2c62872c1ba64d99eac1df9f7e548 | 2026-01-21T00:00:00-05:00 | Exact Redundancy for Symmetric Rate-Distortion | arXiv:2601.11927v1 Announce Type: new Abstract: For variable-length coding with an almost-sure distortion constraint, Zhang et al. show that for discrete sources the redundancy is upper bounded by $\log n/n$ and lower bounded (in most cases) by $\log n/(2n)$, ignoring lower order terms. For a uniform source with a dist... | https://arxiv.org/abs/2601.11927 | Academic Papers | svg |
b8511b9a2236bad4c2509ac793fc05da5b5e642bff82812594ddecb9ac200779 | 2026-01-21T00:00:00-05:00 | Classification of connected proper pairs in the affine transformation group | arXiv:2601.11933v1 Announce Type: new Abstract: Let $(L, H)$ be closed subgroups of a locally compact group $G$. The pair $(L, H)$ is said to be proper if the action of $L$ on the homogeneous space $G/H$ is proper. We give a complete list of connected closed proper pairs in the affine transformation group of $\mathbb{R... | https://arxiv.org/abs/2601.11933 | Academic Papers | svg |
7a57092746630b802f61ea6d709ae18084039db813737f655eee825025836b27 | 2026-01-21T00:00:00-05:00 | The nonlinear estimates on quantum Besov space | arXiv:2601.11934v1 Announce Type: new Abstract: The superposition operators have been widely studied in nonlinear analysis, which are essential for the well-posedness theory of nonlinear equations. In this paper, we investigate the boundedness estimates of superposition operators with non-smooth symbols on quantum Beso... | https://arxiv.org/abs/2601.11934 | Academic Papers | svg |
20d87e6ea020c96b31d80f8e5e9017b16dee0255cf4ff93f0824ac2596ed011f | 2026-01-21T00:00:00-05:00 | Small-Error Cascaded Group Testing | arXiv:2601.11945v1 Announce Type: new Abstract: Group testing concerns itself with the accurate recovery of a set of "defective" items from a larger population via a series of tests. While most works in this area have considered the classical group testing model, where tests are binary and indicate the presence of at l... | https://arxiv.org/abs/2601.11945 | Academic Papers | svg |
c506b13712e21290a3017517d97dec8ce793468ad19a5461ccf8793b24e5b2c5 | 2026-01-21T00:00:00-05:00 | Observer design and boundary output feedback stabilization for semilinear parabolic system over general multidimensional domain | arXiv:2601.11948v1 Announce Type: new Abstract: This paper investigates the output feedback stabilization of parabolic equation with Lipschitz nonlinearity over general multidimensional domain using spectral geometry theories. First, a novel nonlinear observer is designed, and the error system is shown to achieve any p... | https://arxiv.org/abs/2601.11948 | Academic Papers | svg |
8e780fd1e5100d940908c547c12ba3b2be4aaf6b4d7d473e002682049bceac31 | 2026-01-21T00:00:00-05:00 | Computations of higher elliptic units | arXiv:2601.11961v1 Announce Type: new Abstract: In this paper we present a conjecture on the construction of generalised elliptic units above number fields with exactly one complex place. These elliptic units obtained as values of multiple elliptic Gamma functions. These form a collection of multivariate meromorphic fu... | https://arxiv.org/abs/2601.11961 | Academic Papers | svg |
bdf14b0fed89a4105a882655b75536d21965ad2ca64659c37c7414f45a4dd242 | 2026-01-21T00:00:00-05:00 | A Survey on Spherical Designs: Existence, Numerical Constructions, and Applications | arXiv:2601.11963v1 Announce Type: new Abstract: This paper provides a survey of spherical designs and their applications, with a particular emphasis on the perspective of ``numerical analysis''. A set \(X_N\) of \(N\) points on the unit sphere \(\mathbb{S}^d\) is called a \textit{spherical \(t\)-design} if the average ... | https://arxiv.org/abs/2601.11963 | Academic Papers | svg |
dd00d50d1bcc595a70ada60186d6f59d08e6926b4529e9bb7af3920652af8005 | 2026-01-21T00:00:00-05:00 | On efficient estimates of the rate of convergence for Markov chains | arXiv:2601.11973v1 Announce Type: new Abstract: The paper presents efficient approaches for evaluating convergence rate in total variation for finite and general linear Markov chains. The motivation for studying convergence rate in this metric is its usefulness in various limit theorems. For homogeneous Markov chains t... | https://arxiv.org/abs/2601.11973 | Academic Papers | svg |
51710b2452d9c3c4ceeebc538679704f8bc552f648de7a3fb4517031a5ff3f42 | 2026-01-21T00:00:00-05:00 | The linearization approach to the Calder\'on problem revisited: reconstruction via the Born approximation | arXiv:2601.11975v1 Announce Type: new Abstract: Linearization techniques are widely used in the analysis and numerical solution of the Calder\'on inverse problem, even if their theoretical basis is not fully understood. In this article, we study the effectiveness of linearization for reconstructing a conductivity from ... | https://arxiv.org/abs/2601.11975 | Academic Papers | svg |
6fd4f6684742b9e200a1bd11c90a9b75607fab8313d49e604e77bc2ca454a396 | 2026-01-21T00:00:00-05:00 | The small cancellation flat torus theorem | arXiv:2601.11991v1 Announce Type: new Abstract: We establish Flat Torus Theorem type results for groups acting on small cancellation complexes satisfying C(6), C(4)-T(4) and C(3)-T(6) conditions. For C(3)-T(6) complexes the result closely parallels the CAT(0) setting. For C(6) complexes we prove an analogous theorem us... | https://arxiv.org/abs/2601.11991 | Academic Papers | svg |
6757848f785f9bc307da01e721b3d2cf185ea724cebe7f6b43de414c10e0165f | 2026-01-21T00:00:00-05:00 | On examples of duals Saito's basis of some inhomogeneous divisors, and application | arXiv:2601.11992v1 Announce Type: new Abstract: We investigate a class of non-quasi-homogeneous free divisors in the sense of Saito. These divisors are defined by equations of the form $D:= \{h=0\}$ on $\mathbb{C}^p$, where the polynomial $h$ is specific linear combination of monomials involving the product of coordina... | https://arxiv.org/abs/2601.11992 | Academic Papers | svg |
3c3b7c11351c109d966d5f07439fc809ccc06842bddf82e42fc923e557dbb1e1 | 2026-01-21T00:00:00-05:00 | Conjugacy limits of certain subgroups in $\SL(2,\mathbb{R})\ltimes\mathbb{R}^2$ | arXiv:2601.11994v1 Announce Type: new Abstract: We study conjugacy limits of certain of subgroups inside $\SL(2,\R)\ltimes\R^2$. These subgroups have a common feature that any two in the same category are conjugates of each other. | https://arxiv.org/abs/2601.11994 | Academic Papers | svg |
2c2b3849da1195e574c388d4b5e34443e6c69f658c3cbd55b9c7138046584ed4 | 2026-01-21T00:00:00-05:00 | Microscopic derivation of a one-dimensional lubrication model with roughness | arXiv:2601.11999v1 Announce Type: new Abstract: We derive a hydrodynamic model for the motion of inertial particles with a spherical hard core, interacting through lubrication forces and pairwise repulsive forces. The repulsion arises from the assumption that each particle is surrounded by a thin rough layer of reduced... | https://arxiv.org/abs/2601.11999 | Academic Papers | svg |
931b5fc8c832ad84f3a6ff3149b3f7ee822181fbe31680b1fcc723951949b01d | 2026-01-21T00:00:00-05:00 | A Multi-Level Deep Framework for Deep Solvers of Partial Differential Equations | arXiv:2601.12000v1 Announce Type: new Abstract: In this paper, inspired by the multigrid method, we propose a multi-level deep framework for deep solvers. Overall, it divides the entire training process into different levels of training. At each level of training, an adaptive sampling method proposed in this paper is f... | https://arxiv.org/abs/2601.12000 | Academic Papers | svg |
577a69d077cd021e07145c13a2639f231dd029c0343cbf5984c8fad15f852432 | 2026-01-21T00:00:00-05:00 | Structure of ind-pro completions of Noetherian rings | arXiv:2601.12016v1 Announce Type: new Abstract: We prove some results on the structure of ind-pro completions of Noetherian rings along flags of prime ideals. In particular, we compute the Krull dimension and deduce the criterion on semilocality in the case of essentially of finite type algebras over a field. We also s... | https://arxiv.org/abs/2601.12016 | Academic Papers | svg |
766b82807d43d04e06984e452d9dc17199cb67ed091e818310d7cb34c07b379f | 2026-01-21T00:00:00-05:00 | Deformation rigidity of some simple affine VOAs | arXiv:2601.12017v1 Announce Type: new Abstract: In this paper, we prove that simple affine vertex operator algebras with positive integral levels admit only trivial first-order deformations. Therefore, the deformation rigidity conjecture of strongly rational vertex operator algebras holds for these cases. We also show ... | https://arxiv.org/abs/2601.12017 | Academic Papers | svg |
340a1f3b2579c7a1b16d95fa9439c4e3f67ddbac25c60eacb11145984de43fab | 2026-01-21T00:00:00-05:00 | On Multilinear Forms for Mod $p$ Representations of $\mathrm{GL}_2(\mathbb{Q}_p)$ | arXiv:2601.12021v1 Announce Type: new Abstract: Motivated by the study of trilinear forms for complex representations, we investigate the space of $G$-invariant linear forms on tensor products of irreducible admissible representations of $G = \mathrm{GL}_2(\mathbb{Q}_p)$ over $\overline{\mathbb{F}}_p$. Our main result ... | https://arxiv.org/abs/2601.12021 | Academic Papers | svg |
71fccbba3afb27001f4d0a006d4c50e589d3e81eff6b03ade246a9ecc9a45120 | 2026-01-21T00:00:00-05:00 | Generalizing the Fano inequality further | arXiv:2601.12027v1 Announce Type: new Abstract: Interactive statistical decision making (ISDM) features algorithm-dependent data generated through interaction. Existing information-theoretic lower bounds in ISDM largely target expected risk, while tail-sensitive objectives are less developed. We generalize the interact... | https://arxiv.org/abs/2601.12027 | Academic Papers | svg |
5b8e9944a1dd27c11f3fc800fe3af4f06fe055a8914decfe3f2e6329edae262c | 2026-01-21T00:00:00-05:00 | High-Dimensional $p$-Normed Flows | arXiv:2601.12036v1 Announce Type: new Abstract: We generalize Tutte's integer flows and the $d$-dimensional Euclidean flows of Mattiolo, Mazzuoccolo, Rajn\'{i}k, and Tabarelli to \emph{$d$-dimensional $p$-normed nowhere-zero flows} and define the corresponding flow index $\phi_{d,p}(G)$ to be the infimum over all real ... | https://arxiv.org/abs/2601.12036 | Academic Papers | svg |
fe3fff5f293ad878da9e01a6a8bac8bf96217b74c3691b79844e7fc9099d4018 | 2026-01-21T00:00:00-05:00 | Critical partition regular functions for compact spaces | arXiv:2601.12041v1 Announce Type: new Abstract: We study ideal-based refinements of sequential compactness arising from the class FinBW(I), consisting of topological spaces in which every sequence admits a convergent subsequence indexed by a set outside a given ideal I. A central theme of this work is the existence of ... | https://arxiv.org/abs/2601.12041 | Academic Papers | svg |
ab8c114220ef2b4d5633a9d0fc22f1d8e8a4e49369c7d010457aa851a6bd207c | 2026-01-21T00:00:00-05:00 | Koopman Spectral Computation Beyond The Reflexive Regime: Endpoint Solvability Complexity Index And Type-2 Links | arXiv:2601.12044v1 Announce Type: new Abstract: We study the Solvability Complexity Index (SCI) of Koopman operator spectral computation in the information-based framework of towers of algorithms. Given a compact metric space $(\mathcal{X},d)$ with a finite Borel measure $\omega$ on $\mathcal{X}$ and a continuous nonsi... | https://arxiv.org/abs/2601.12044 | Academic Papers | svg |
aae787edc0cc5afc932b04765a5ec2d2d0e8eb3bfa15451b638aa9c29ea15a21 | 2026-01-21T00:00:00-05:00 | Geometric realisations of type $\tilde{A}_n$ preprojective algebras in homological mirror symmetry | arXiv:2601.12045v1 Announce Type: new Abstract: The type $A_n$-singularity $\mathbb{C}^2/\mathbb{Z}_{n+1}$ can be resolved by hyper-K\"ahler manifolds $X_{\zeta}$ with underlying smooth manifolds diffeomorphic to the resolution of singularities $X_{\text{res}}$, whose hyper-K\"ahler structure depends on a parameter $\z... | https://arxiv.org/abs/2601.12045 | Academic Papers | svg |
227015bf2659bad67839f0f6d3560003d63fcce7d3a714dc1962bd761f72e775 | 2026-01-21T00:00:00-05:00 | Partition identities associated with $A_r$-Surface singularities | arXiv:2601.12048v1 Announce Type: new Abstract: We prove a family of partition identities involving integer partitions in three colors. The conditions imposed on the types of partitions appearing in these identities involve constraints that arise in the Rogers-Ramanujan and Andrews-Gordon identities, as well as in thei... | https://arxiv.org/abs/2601.12048 | Academic Papers | svg |
f67de4ddffc117d8863f4e0227888c0c30be8eccafcafc2cf9ea4dda8bd2938e | 2026-01-21T00:00:00-05:00 | Function Computation Over Multiple Access Channels via Hierarchical Constellations | arXiv:2601.12050v1 Announce Type: new Abstract: We study function computation over a Gaussian multiple-access channel (MAC), where multiple transmitters aim at computing a function of their values at a common receiver. To this end, we propose a novel coded-modulation framework for over-the-air computation (OAC) based o... | https://arxiv.org/abs/2601.12050 | Academic Papers | svg |
db8a9b2ab0f42278cb425643aaa8e9826c608ab97debb327866aa4d11974099d | 2026-01-21T00:00:00-05:00 | Ramanujan polar graphs | arXiv:2601.12057v1 Announce Type: new Abstract: Recently, a construction of minimal codes arising from a family of almost Ramanujan graphs was shown. Ramanujan graphs are examples of expander graphs that minimize the second-largest eigenvalue of their adjacency matrix. We call such graphs Ramanujan, since all known non... | https://arxiv.org/abs/2601.12057 | Academic Papers | svg |
47e051eb3212cddb9b2eb14d2e85c5009c67d187d5540902dad50139467a684a | 2026-01-21T00:00:00-05:00 | Magnetic spectral inverse problems on compact Anosov manifolds | arXiv:2601.12058v1 Announce Type: new Abstract: In this paper, we establish positive results for two spectral inverse problems in the presence of a magnetic potential. Exploiting the principal wave trace invariants, we first show that on closed Anosov manifolds with simple length spectrum, one can recover an electric a... | https://arxiv.org/abs/2601.12058 | Academic Papers | svg |
baf3ab922ce3b492d7def1e795f35b15734b164c1b08f53c37f3ecab17065a9a | 2026-01-21T00:00:00-05:00 | Almost coherent rings | arXiv:2601.12059v1 Announce Type: new Abstract: Inspired from the work of P. Scholze on the finiteness of \(\mathbf{F}_{p}\)-cohomology groups of proper rigid-analytic varieties over \(p\)-adic fields, Zavyalov recently introduced the notion of almost coherent rings, which plays a key role in the almost ring theory. In... | https://arxiv.org/abs/2601.12059 | Academic Papers | svg |
fd644640558719750f046a9efe42c02a6485b73c28b0da414134cef4e81a938a | 2026-01-21T00:00:00-05:00 | Invariant Means on $VN^n(G)$ | arXiv:2601.12063v1 Announce Type: new Abstract: Let $G$ be a locally compact group, and $VN^n(G)$ is the dual of the multidimensional Fourier algebra $A^n(G)$. In this article, we define invariant means on $VN^n(G)$ and prove that the set of all invariant means on $VN^n(G)$ is non-empty. Further, we investigated the in... | https://arxiv.org/abs/2601.12063 | Academic Papers | svg |
3bc84425d2959ef4339c95a3de0514c94633048a9e9609ef1bf5f84822d2db1f | 2026-01-21T00:00:00-05:00 | Expansion and Bounds for the Bias of Empirical Tail Value-at-Risk | arXiv:2601.12064v1 Announce Type: new Abstract: Tail Value-at-Risk (TVaR) is a widely adopted risk measure playing a critically important role in both academic research and industry practice in insurance. In data applications, TVaR is often estimated using the empirical method, owing to its simplicity and nonparametric... | https://arxiv.org/abs/2601.12064 | Academic Papers | svg |
19dad45790c7ec16dc102ae8b8a67dfaf5a62aa3649200a11aff39a1c475c0c9 | 2026-01-21T00:00:00-05:00 | Boojums in Liquid Crystals Around a Colloid | arXiv:2601.12065v1 Announce Type: new Abstract: We study the Landau-de Gennes theory in the one constant limit. The bulk domain is the exterior of a spherical colloid. A Rapini-Papoular surface potential is imposed on the colloid surface, supplemented by a homogeneous far-field condition at spatial infinity. Under the ... | https://arxiv.org/abs/2601.12065 | Academic Papers | svg |
7d5642f88b17e99ed773d84bec00dd391ee0bf3fbdeaa6038542856d5120427f | 2026-01-21T00:00:00-05:00 | Boundary Perturbations of Steklov Eigenvalues | arXiv:2601.12077v1 Announce Type: new Abstract: We consider the dependence of non-zero Steklov eigenvalues on smooth perturbations of the domain boundary. We prove that these eigenvalues are generically simple under such boundary perturbations. This result complements our previous work on metric perturbations, thereby ... | https://arxiv.org/abs/2601.12077 | Academic Papers | svg |
f3f94b45e8bfafb8d07325c6c8149c430ef16b2a11e21a4d804083588bbe187b | 2026-01-21T00:00:00-05:00 | Sharpness of the Osgood Criterion for the Continuity Equation with Divergence-free Vector Fields | arXiv:2601.12096v1 Announce Type: new Abstract: For any modulus of continuity $\omega$ that fails the Osgood condition, we construct a divergence-free velocity field $v \in C_t C^\omega_x$ for which the associated ODE admits at least two distinct flow maps. In other words, non-uniqueness does not occur merely for a sin... | https://arxiv.org/abs/2601.12096 | Academic Papers | svg |
554dd61d1c11d4b45a741ca9420381734954231104e31a1126923b6c352374a0 | 2026-01-21T00:00:00-05:00 | Higher integrability of solutions to elliptic equations under additional sign constraints | arXiv:2601.12100v1 Announce Type: new Abstract: Solutions to elliptic equations often exhibit higher regularity properties such as \emph{higher integrability}. That is, for instance, a solution $u$ to a system that a priori only satisfies $ u \in W^{1,r}$ is more regular and even in the Sobolev space $W^{1,s}$ for some... | https://arxiv.org/abs/2601.12100 | Academic Papers | svg |
c68b920f4b93ee5747af6efd7fb91e8c92448bfade1ed073027e796591f8967b | 2026-01-21T00:00:00-05:00 | On the Construction and Correlation Properties of Permutation-Interleaved Zadoff-Chu Sequences | arXiv:2601.12107v1 Announce Type: new Abstract: Constant amplitude zero auto-correlation (CAZAC) sequences are widely applied in waveforms for radar and communication systems. Motivated by a recent work [Berggren and Popovi\'c, IEEE Trans. Inf. Theory 70(8), 6068-6075 (2024)], this paper further investigates the approa... | https://arxiv.org/abs/2601.12107 | Academic Papers | svg |
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