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44680a8f8be39caa2bb704009ad3b2a73fb4efc4564127d9722b6446ce3e3620 | 2026-01-16T00:00:00-05:00 | On the solutions of the generalized Fermat equation over totally real number fields | arXiv:2404.09171v3 Announce Type: replace Abstract: Let $K$ be a totally real number field and $\mathcal{O}_K$ be the ring of integers of $K$. In this article, we study the asymptotic solutions of the generalized Fermat equation $Ax^p+By^p+Cz^p=0$ over $K$ with prime exponent $p$, where $A,B,C \in \mathcal{O}_K \setmin... | https://arxiv.org/abs/2404.09171 | Academic Papers | svg |
9be4f654410b0d75c17a871a2e7ec031d243be15e4baa475676f301a8b764e0b | 2026-01-16T00:00:00-05:00 | On the asymptotics of Kempner-Irwin sums | arXiv:2404.13763v4 Announce Type: replace Abstract: Let $I(b,d,k)$ be the subseries of the harmonic series keeping the integers having exactly $k$ occurrences of the digit $d$ in base $b$. We prove the existence of an asymptotic expansion to all orders in descending powers of $b$, for fixed $d$ and $k$, of $I(b,d,k)-b\... | https://arxiv.org/abs/2404.13763 | Academic Papers | svg |
06a7fbd9b70ef1adc014a9c5e93ae8bc491aff2be6c03082b74dac888e3ccf2c | 2026-01-16T00:00:00-05:00 | Preservation under Reduced Products in Continuous Logic | arXiv:2405.12720v2 Announce Type: replace Abstract: We introduce a fragment of continuous first-order logic, analogue of Palyutin formulas (or h-formulas) in classical model theory, which is preserved under reduced products in both directions. We use it to extend classical results on complete theories which are preserv... | https://arxiv.org/abs/2405.12720 | Academic Papers | svg |
8eb409b19247923978a436a3c7b2c12c4f39b0d4baef0d27b5837991b970b434 | 2026-01-16T00:00:00-05:00 | Analytic Extended Dynamic Mode Decomposition | arXiv:2405.15945v4 Announce Type: replace Abstract: We develop a novel EDMD-type algorithm that captures the spectrum of the Koopman operator defined on a reproducing kernel Hilbert space of analytic functions. This method, which we call analytic EDMD, relies on an orthogonal projection on polynomial subspaces, which i... | https://arxiv.org/abs/2405.15945 | Academic Papers | svg |
ac45bc78e88b50faf49dce5c3fb6386548e757b79e8e86208b43481d05cbceea | 2026-01-16T00:00:00-05:00 | Moduli of rank two semistable sheaves on rational Fano threefolds of the main series | arXiv:2405.20460v2 Announce Type: replace Abstract: In this paper we investigate the moduli spaces of semistable coherent sheaves of rank two on the projective space $\mathbb{P}^3$ and the following rational Fano manifolds of the main series - the three-dimensional quadric $X_2$, the intersection of two 4-dimensional q... | https://arxiv.org/abs/2405.20460 | Academic Papers | svg |
0da7c05344b929b512f46683e824e9901424f7e7867346deef30298508c6fc44 | 2026-01-16T00:00:00-05:00 | Cross-Dimensional Mathematics: A Foundation For STP/STA | arXiv:2406.12920v5 Announce Type: replace Abstract: A new mathematical structure, called the cross-dimensional mathematics (CDM), is proposed. The CDM considered in this paper consists of three parts: hyper algebra, hyper geometry, and hyper Lie group/Lie algebra. Hyper algebra proposes some new algebraic structures su... | https://arxiv.org/abs/2406.12920 | Academic Papers | svg |
52e47abc26420eed5880d842dc8017df8943d4c09af8d80e0e68769befc63baf | 2026-01-16T00:00:00-05:00 | Polynomial convergence rate at infinity for the cusp winding spectrum of generalized Schottky groups | arXiv:2407.12398v2 Announce Type: replace Abstract: We show that the convergence rate of the cusp winding spectrum to the Hausdorff dimension of the limit set of a generalized Schottky group with one parabolic generator is polynomial. Our main theorem provides the new phenomenon in which differences in the Hausdorff di... | https://arxiv.org/abs/2407.12398 | Academic Papers | svg |
8ee13feeea4f51c61763e4263a244beb53c4a1a5718f5ad6a2614d5d7630118c | 2026-01-16T00:00:00-05:00 | Nearly-linear solution to the word problem for 3-manifold groups | arXiv:2407.18029v2 Announce Type: replace Abstract: We show that the word problem for any 3-manifold group is solvable in time $O(n\log^3 n)$. Our main contribution is the proof that the word problem for admissible graphs of groups, in the sense of Croke and Kleiner, is solvable in $O(n\log n)$; this covers fundamental... | https://arxiv.org/abs/2407.18029 | Academic Papers | svg |
d97ea10092611a746c16b0fddd49959cebd799c2c7d963481a6df6ef242669c0 | 2026-01-16T00:00:00-05:00 | Littlewood-Offord problems for Ising models | arXiv:2408.05720v2 Announce Type: replace Abstract: We consider the one-dimensional Littlewood-Offord problem for general Ising models. More precisely, we consider the concentration function \[Q_n(x,v)=P\left(\sum_{i=1}^{n}\varepsilon_iv_i\in(x-1,x+1)\right),\] where $x\in\mathbb{R}$, $v_1,v_2,\ldots,v_n$ are real numb... | https://arxiv.org/abs/2408.05720 | Academic Papers | svg |
66602cdacf99da7c5f5d8b5a59bd2e8b3f1441b81e22b07c2adff0bc3402fda4 | 2026-01-16T00:00:00-05:00 | Generalized Fruit Diophantine equation over number fields | arXiv:2408.12278v3 Announce Type: replace Abstract: Let $K$ be a number field and $\mathcal{O}_K$ be the ring of integers of $K$. In this article, we study the solutions of the generalized fruit Diophantine equation $ax^d-y^2-z^2 +xyz-c=0$ over $K$, where $d \geq 3$ is an integer and $a,c\in \mathcal{O}_K\setminus \{0\... | https://arxiv.org/abs/2408.12278 | Academic Papers | svg |
e78a7837a69ff71bb005d5140f305b32402598474f2b1a9c7d6b51db09669c55 | 2026-01-16T00:00:00-05:00 | Graphs missing a connected partition | arXiv:2409.12934v2 Announce Type: replace Abstract: We prove that a graph with a cut vertex whose deletion produces at least five connected components must be missing a connected partition of some type. We prove that this also holds if there are four connected components that each have at least two vertices. In particu... | https://arxiv.org/abs/2409.12934 | Academic Papers | svg |
c5372c7af6056ae6f025d74ff5a5e96922cb20af29b41d083c3bed91417f77b1 | 2026-01-16T00:00:00-05:00 | K\"ahler metrics of negative holomorphic (bi)sectional curvature on a compact relative K\"ahler fibration | arXiv:2409.14650v2 Announce Type: replace Abstract: For a compact relative K\"ahler fibration over a compact K\"ahler manifold with negative holomorphic sectional curvature, if the relative K\"ahler form on each fiber also exhibits negative holomorphic sectional curvature, we can construct K\"ahler metrics with negativ... | https://arxiv.org/abs/2409.14650 | Academic Papers | svg |
d158f208f20e99376a98e33ed22be0fd0b875a3d6808dee15b0fa928447f2484 | 2026-01-16T00:00:00-05:00 | The five-color hypercube Adinkra and the Jacobian of a generalized Fermat curve | arXiv:2410.11137v2 Announce Type: replace Abstract: Adinkras are highly structured graphs developed to study 1-dimensional supersymmetry algebras. A cyclic ordering of the edge colors of an Adinkra, or rainbow, determines a Riemann surface and a height function on the vertices of the Adinkra determines a divisor on thi... | https://arxiv.org/abs/2410.11137 | Academic Papers | svg |
789b4fc6279e8e0f6a5e7144e93ba188244ca05265c0c2b414e4e14bb95efa3f | 2026-01-16T00:00:00-05:00 | A $\Lambda$-adic Kudla lift | arXiv:2410.19992v2 Announce Type: replace Abstract: The Kudla lift studied in this article is a classical version for Picard modular forms of the automorphic theta lift between $\text{GU}(2)$ and $\text{GU}(3)$. We construct an explicit $p$-adic analytic family of Picard modular forms varying with respect to the weight... | https://arxiv.org/abs/2410.19992 | Academic Papers | svg |
f102ef62e4876114eeb61fb12c0877001ecd42a2e304b72687d880248c3eb4a5 | 2026-01-16T00:00:00-05:00 | Complexity and curvature of (pairs of) Cohen-Macaulay modules, and their applications | arXiv:2411.17622v2 Announce Type: replace Abstract: The complexity and curvature of a module, introduced by Avramov, measure the growth of Betti and Bass numbers of a module, and distinguish the modules of infinite homological dimension. The notion of complexity was extended by Avramov-Buchweitz to pairs of modules tha... | https://arxiv.org/abs/2411.17622 | Academic Papers | svg |
b9878900db0b67ae4f14947711b064d877c47ca6b8300dd7990ee028df184a76 | 2026-01-16T00:00:00-05:00 | A note on the $L_p$-Brunn-Minkowski inequality for intrinsic volumes and the $L_p$-Christoffel-Minkowski problem | arXiv:2411.17896v4 Announce Type: replace Abstract: The first goal of this paper is to improve some of the results in \cite{BCPR}. Namely, we establish the $L_p$-Brunn-Minkwoski inequality for intrinsic volumes for origin-symmetric convex bodies that are close to the ball in the $C^2$ sense for a certain range of $p<1$... | https://arxiv.org/abs/2411.17896 | Academic Papers | svg |
cc781a61a75a6d8557e606916897fe4a0c725893b52f74e55690a3bfe25ee964 | 2026-01-16T00:00:00-05:00 | Test properties of some Cohen-Macaulay modules and criteria for local rings via finite vanishing of Ext or Tor | arXiv:2412.01636v2 Announce Type: replace Abstract: In this article, we show test properties, in the sense of finitely many vanishing of Ext or Tor, of CM (Cohen-Macaulay) modules whose multiplicity and number of generators (resp., type) are related by certain inequalities. We apply these test behaviour, along with oth... | https://arxiv.org/abs/2412.01636 | Academic Papers | svg |
7216eebcc7b30802a8feb2dce0a65bd6536bd3806e57f6a57e00ee783f354077 | 2026-01-16T00:00:00-05:00 | The John inclusion for log-concave functions | arXiv:2412.18444v2 Announce Type: replace Abstract: John's inclusion states that a convex body in $\mathbb{R}^d$ can be covered by the $d$-dilation of its maximal volume ellipsoid. We obtain a certain John-type inclusion for log-concave functions. As a byproduct of our approach, we establish the following asymptoticall... | https://arxiv.org/abs/2412.18444 | Academic Papers | svg |
4c156d543aed80ab660277c38af0f8242e751de0c207ab90c6a51ce34f5438f8 | 2026-01-16T00:00:00-05:00 | Distributionally Robust Fault Detection Trade-off Design with Prior Fault Information | arXiv:2412.20237v5 Announce Type: replace Abstract: The robustness of fault detection algorithms against uncertainty is crucial in the real-world industrial environment. Recently, a new probabilistic design scheme called distributionally robust fault detection (DRFD) has emerged and received immense interest. Despite i... | https://arxiv.org/abs/2412.20237 | Academic Papers | svg |
eca2bef0719ad5d52bd8676b3b50c8a8c7beafc26929266f4285fd5b99808f56 | 2026-01-16T00:00:00-05:00 | Counting the number of integral fixed points of a discrete dynamical system with applications from arithmetic statistics, I | arXiv:2501.04026v3 Announce Type: replace Abstract: In this first article of a multi-part series, we inspect a surprising relationship between the set of fixed points of a polynomial map $\varphi_{d, c}$ defined by $\varphi_{d, c}(z) = z^d + c$ for all $c, z \in \mathbb{Z}$ and the coefficient $c$, where $d > 2$ is an ... | https://arxiv.org/abs/2501.04026 | Academic Papers | svg |
fb7080ad8ddf7e2387dd4725a4eefa27b64ecf0882aecd54d07205367d5f7105 | 2026-01-16T00:00:00-05:00 | Hypercyclicity of Toeplitz operators with smooth symbols | arXiv:2502.03303v3 Announce Type: replace Abstract: This paper is devoted to the study of the dynamics of Toeplitz operators $T_F$ with smooth symbols $F$ on the Hardy spaces of the unit disk $H^p$, $p>1$. Building on a model theory for Toeplitz operators on $H^2$ developed by Yakubovich in the 90's, we carry out an in... | https://arxiv.org/abs/2502.03303 | Academic Papers | svg |
ad98dfb06b86e8308ffbda44429ea75c954af83f734dbbfec2125a55e0c26f0e | 2026-01-16T00:00:00-05:00 | Improved regularity estimates for degenerate or singular fully nonlinear dead-core systems and H\'{e}non-type equations | arXiv:2502.10099v3 Announce Type: replace Abstract: In this paper, we study the degenerate or singular fully nonlinear dead-core systems coupled with strong absorption terms. We establish several properties, including improved regularity of viscosity solutions along the free boundary, non-degeneracy, a measure estimate... | https://arxiv.org/abs/2502.10099 | Academic Papers | svg |
81d36cbfa02d7313d2fde652c623c14f529200cfdf4847a66583d0251e55cc45 | 2026-01-16T00:00:00-05:00 | Isometries of spacetimes without observer horizons | arXiv:2502.13904v3 Announce Type: replace Abstract: We study the isometry groups of (non-compact) Lorentzian manifolds with well-behaved causal structure, aka causal spacetimes satisfying the ``no observer horizons'' condition. Our main result is that the group of time orientation-preserving isometries acts properly on... | https://arxiv.org/abs/2502.13904 | Academic Papers | svg |
73cbfed74e9c8248e60018e54c4497a37c45ed2c62ec825ae5678a2b7cc0803e | 2026-01-16T00:00:00-05:00 | Abelian congruences and similarity in varieties with a weak difference term | arXiv:2502.20517v2 Announce Type: replace Abstract: This is the first of three papers motivated by the author's desire to understand and explain "algebraically" one aspect of Dmitriy Zhuk's proof of the CSP Dichotomy Theorem. In this paper we study abelian congruences in varieties having a weak difference term. Each cl... | https://arxiv.org/abs/2502.20517 | Academic Papers | svg |
a5f6d69246a8dcd578b68f7c02d94daddff2cda508324ac7083226921a854299 | 2026-01-16T00:00:00-05:00 | Global solutions for supersonic flow of a Chaplygin gas past a conical wing with a shock wave detached from the leading edges | arXiv:2503.03406v4 Announce Type: replace Abstract: In this paper, we first investigate the mathematical aspects of supersonic flow of a Chaplygin gas past a conical wing with diamond-shaped cross sections in the case of a shock wave detached from the leading edges. The flow under consideration is governed by the three... | https://arxiv.org/abs/2503.03406 | Academic Papers | svg |
613f4382949017632d38e942deccebdf3555c8f4d2af9fdf9d03cc0f0c53f192 | 2026-01-16T00:00:00-05:00 | Counting the number of $\mathcal{O}_{K}$-fixed points of a discrete dynamical system with applications from arithmetic statistics, II | arXiv:2503.11393v3 Announce Type: replace Abstract: In this follow-up paper, we again inspect a surprising connection between the set of fixed points of a polynomial map $\varphi_{d,c}$ defined by $\varphi_{d,c}(z) = z^d + c$ for all $c, z \in \mathcal{O}_{K}$ and the coefficient $c$, where $K$ is any number field of d... | https://arxiv.org/abs/2503.11393 | Academic Papers | svg |
44abe2c33708fb9d358f1988bb2ee4783a86f0b8cd3cd66a1b4bd923fdc95835 | 2026-01-16T00:00:00-05:00 | On a polygon version of Wiegmann-Zabrodin formula | arXiv:2503.13718v2 Announce Type: replace Abstract: Let $P$ be a convex polygon in ${\mathbb C}$ and let $\Delta_{D, P}$ be the operator of the Dirichlet boundary value problem for the Lapalcian $\Delta=-4\partial_z\partial_{\bar z}$ in $P$. We derive a variational formula for the logarithm of the $\zeta$-regularized d... | https://arxiv.org/abs/2503.13718 | Academic Papers | svg |
f4d571bc76d6f610dcf3f0a4d6f13b2c56658764e4c6e0c0d0d055dea72f8752 | 2026-01-16T00:00:00-05:00 | Quasi-convex Splittings of Acylindrical Graphs of Locally Finite-Height Groups | arXiv:2503.15459v2 Announce Type: replace Abstract: We find a condition on the acylindrical action of a finitely presented group on a simplicial tree which guarantees that this action will be dominated by an acylindrical action with finitely generated edge stabilisers, and find the first example of an action of a finit... | https://arxiv.org/abs/2503.15459 | Academic Papers | svg |
6fc2a8fdfcf332f0ed864de70255ec71c04cc4108f7a53b4599fc3fa8b9b9b92 | 2026-01-16T00:00:00-05:00 | Talenti comparison results for solutions to $p$-Laplace equation on multiply connected domains | arXiv:2504.06103v2 Announce Type: replace Abstract: In the last years comparison results of Talenti type for Elliptic Problems have been widely investigated. In this paper we obtain a comparison result for the $p$-Laplace operator in multiply connected domains with Robin boundary condition on the exterior boundary and ... | https://arxiv.org/abs/2504.06103 | Academic Papers | svg |
908a95e49f35f3b7a5af3ac8d004e624b131e53fbe40be008b5fde23dae51a56 | 2026-01-16T00:00:00-05:00 | On the uniqueness of a generalized quadrangle of order (4,16) | arXiv:2504.09372v4 Announce Type: replace Abstract: In the manuscript [v4], we prove the uniqueness of a generalized quadrangle of order (4,16). | https://arxiv.org/abs/2504.09372 | Academic Papers | svg |
935f8963b7107d5e584876a025cd724950bc22cacd7e730da1ed3127ef867787 | 2026-01-16T00:00:00-05:00 | Magnetic Thomas-Fermi theory for 2D abelian anyons | arXiv:2504.13481v2 Announce Type: replace Abstract: Two-dimensional abelian anyons are, in the magnetic gauge picture, represented as fermions coupled to magnetic flux tubes. For the ground state of such a system in a trapping potential, we theoretically and numerically investigate a Hartree approximate model, obtained... | https://arxiv.org/abs/2504.13481 | Academic Papers | svg |
ebc46ab21248cbc04f351582d6b1252452815534125fa4d5eb56f3d11d8effe9 | 2026-01-16T00:00:00-05:00 | Non-solutions to mixed equations in acylindrically hyperbolic groups coming from random walks | arXiv:2504.15456v2 Announce Type: replace Abstract: A mixed equation in a group $G$ is given by a non-trivial element $w (x)$ of the free product $G \ast \mathbb{Z}$, and a solution is some $g\in G$ such that $w(g)$ is the identity. For $G$ acylindrically hyperbolic with trivial finite radical (e.g. torsion-free) we sh... | https://arxiv.org/abs/2504.15456 | Academic Papers | svg |
a54659e1a737167d376d7a951968502f08b3be134bf035789cd13907be6cf3b9 | 2026-01-16T00:00:00-05:00 | Topological triviality and link-constancy in deformations of inner Khovanskii non-degenerate maps | arXiv:2504.18816v5 Announce Type: replace Abstract: For real and mixed polynomial maps $f=(f^1,\dots,f^p)$ satisfying $f(0)=0$, we introduce the notion of Inner Khovanskii Non-Degeneracy (IKND), that generalizes a previous non-degeneracy condition introduced by Wall for complex polynomial functions (J. Reine Angew. Mat... | https://arxiv.org/abs/2504.18816 | Academic Papers | svg |
d9d3018e0c33600817f1e9136ec3c7bcd79d01522ac07bc36c7d68062e7dfe2e | 2026-01-16T00:00:00-05:00 | Monoidal Relative Categories Model Monoidal $\infty$-Categories | arXiv:2504.20606v3 Announce Type: replace Abstract: We prove that the homotopy theory of monoidal relative categories is equivalent to that of monoidal $\infty$-categories, and likewise in the symmetric monoidal setting. As an application, we give a concise and complete proof of the fact that every presentably monoidal... | https://arxiv.org/abs/2504.20606 | Academic Papers | svg |
4b67f7b9e9b968e6a118e05deb177b3676f7a94e7b59a8d412a4042b01bde83d | 2026-01-16T00:00:00-05:00 | A Note On Generalized $L_p$ Inequalities for the polar derivative of a polynomial | arXiv:2505.06539v3 Announce Type: replace Abstract: Let \( P(z) \) be a polynomial of degree \( n \) and $\alpha \in \mathbb{C}$. The polar derivative of \( P(z) \), denoted by \( D_\alpha P(z) \) and is defined by $D_\alpha P(z): = nP(z) + (\alpha -z)P'(z)$. The polar derivative \( D_\alpha P(z) \) is a polynomial of ... | https://arxiv.org/abs/2505.06539 | Academic Papers | svg |
0c2bd263ca795b14457ad55842e23bdd6ca2bf39bdd0dd1b90b475518a549609 | 2026-01-16T00:00:00-05:00 | The formation of gradient-driven singular structures of codimension one and two in two-dimensions: The case study of ferronematics | arXiv:2505.07506v3 Announce Type: replace Abstract: We study a two-dimensional variational model for ferronematics -- composite materials formed by dispersing magnetic nanoparticles into a liquid crystal matrix. The model features two coupled order parameters: a Landau-de Gennes~$\mathbf{Q}$-tensor for the liquid cryst... | https://arxiv.org/abs/2505.07506 | Academic Papers | svg |
c425a2b64c15b0d4de6aae1e3f158f520febf9e8ffd62c8a44685c20ac102337 | 2026-01-16T00:00:00-05:00 | On the extremal length of the hyperbolic metric | arXiv:2505.12400v2 Announce Type: replace Abstract: For any closed hyperbolic Riemann surface $X$, we show that the extremal length of the Liouville current is determined solely by the topology of \(X\). This confirms a conjecture of Mart\'inez-Granado and Thurston. We also obtain an upper bound, depending only on $X$,... | https://arxiv.org/abs/2505.12400 | Academic Papers | svg |
bd156592c7faae0b7c05a7d043364df24f747c9b2c4ac8df6d8285a591396232 | 2026-01-16T00:00:00-05:00 | Invariant random subgroups on certain orbits | arXiv:2506.09723v2 Announce Type: replace Abstract: Let $G$ be a connected Lie group and $\text{Sub}_G$ be the space of closed subgroups of $G$ equipped with the Chabauty topology. In this article, we investigate the existence of invariant random subgroups of $G$ supported on various orbits of the conjugation action of... | https://arxiv.org/abs/2506.09723 | Academic Papers | svg |
9bef1b093ec6978624040b3e3e9a407d57d03d01420d660387b66263ce0b1467 | 2026-01-16T00:00:00-05:00 | The rational homotopy groups of virtual spheres for rank 1 compact Lie groups | arXiv:2506.18085v4 Announce Type: replace Abstract: We calculate the rational representation-ring-graded stable stems for rank 1 groups, SU(2), SO(3), Pin (2), O(2), Spin(2) and SO(2), in the same spirit as the calculations for finite groups in arXiv:2205.02382 with J.D.Quigley. This illustrates the effectiveness of th... | https://arxiv.org/abs/2506.18085 | Academic Papers | svg |
8be255dadd1ca1191c6ded4a789f5acd7eeab5475688a48ab7cb2b0b464b0afb | 2026-01-16T00:00:00-05:00 | Local H\"older Regularity for Quasilinear Elliptic Equations with Mixed Local-Nonlocal Operators, Variable Exponents, and Weights | arXiv:2507.01899v2 Announce Type: replace Abstract: We establish local boundedness and local H\"older continuity of weak solutions to the following prototype problem: $$ -\operatorname{div}\left(|x|^{-2 \beta}|\nabla u|^{\mathbf{q}-2} \nabla u\right)+(-\Delta)_{p(\cdot, \cdot), \beta}^{s(\cdot, \cdot)} u=0 \quad \text ... | https://arxiv.org/abs/2507.01899 | Academic Papers | svg |
07f0808adfc5b9ae59f26e85277e7c0e5a24ba9fd07fb7555e504c9bdcac31ff | 2026-01-16T00:00:00-05:00 | P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law | arXiv:2507.04307v3 Announce Type: replace Abstract: Let $\Omega\subset\mathbb{R}^n$ be a bounded Lipschitz domain. For any $\epsilon\in (0,1)$ we show that for any Dirichlet eigenvalue $\lambda_k(\Omega)>\Lambda(\epsilon,\Omega)$, it holds \begin{align*} k&\le (1+\epsilon)\frac{|\Omega|\omega(n)}{(2\pi)^n}\lambda_k(\Om... | https://arxiv.org/abs/2507.04307 | Academic Papers | svg |
0ee6442e216a8d970022117830fe0e3407191c27c28766cc988e14e23cb5afd3 | 2026-01-16T00:00:00-05:00 | Cohen-Macaulay approximations and the $\text{SC}_r$-condition | arXiv:2507.14424v3 Announce Type: replace Abstract: We study the relation between MCM approximations and FID hulls of modules over a Cohen-Macaulay local ring $R$ with canonical module, specifically when $R$ is generically Gorenstein. We then generalize a result of Kato, who proved that a Gorenstein complete local ring... | https://arxiv.org/abs/2507.14424 | Academic Papers | svg |
0988dfdb23a01f7501c1c4ba554c86f5232936fe6525e73572ea586bdf803483 | 2026-01-16T00:00:00-05:00 | Some reverse inequalities for scalar Birkhoff weak integrable functions | arXiv:2507.16332v2 Announce Type: replace Abstract: Some inequalities and reverses of classic H\"{o}lder and Minkowski types are obtained for scalar Birkhoff weak integrable functions with respect to a non-additive measure. | https://arxiv.org/abs/2507.16332 | Academic Papers | svg |
f5f6677968b4ba71f387eb026942f9d109318e53ac4b3cf83e8e20565ab601a1 | 2026-01-16T00:00:00-05:00 | Matrix convex sets over the Euclidean ball and polar duals of real free spectrahedra | arXiv:2507.20325v2 Announce Type: replace Abstract: We show that the free spectrahedron determined by universal anticommuting self-adjoint unitaries is not equal to the minimal matrix convex set over the ball in dimension three or higher. This example, as well as other matrix convex sets over the ball, then provides co... | https://arxiv.org/abs/2507.20325 | Academic Papers | svg |
d8ae34dea5d20cbcd8797f14ca2feb4a712564e51036570c26aba3e2c09497ea | 2026-01-16T00:00:00-05:00 | On the characteristic form of $\mathfrak{g}$-valued zero-curvature representations | arXiv:2508.01224v2 Announce Type: replace Abstract: We study $\mathfrak{g}$-valued zero-curvature representations (ZCRs) for partial differential equations in two independent variables from the perspective of their extension to the entire infinite jet space, focusing on their characteristic elements. Since conservation... | https://arxiv.org/abs/2508.01224 | Academic Papers | svg |
efb521ff05fd567b396786e4d27e7d832fc8564b176983c2eea47fc5eef52407 | 2026-01-16T00:00:00-05:00 | Canonical Frames for Bracket Generating Rank 2 Distributions which are not Goursat | arXiv:2508.09307v5 Announce Type: replace Abstract: We complete a uniform construction of canonical absolute parallelism for bracket generating rank $2$ distributions with $5$-dimensional cube on $n$-dimensional manifold with $n\geq 5$ by showing that the condition of maximality of class that was assumed previously by ... | https://arxiv.org/abs/2508.09307 | Academic Papers | svg |
7be55acc8f5028d049f8040068087ef52227349eadee753850fc9b2cb6598e55 | 2026-01-16T00:00:00-05:00 | Geometric inequalities for electrostatic systems with boundary | arXiv:2508.10258v3 Announce Type: replace Abstract: In this article, we investigate electrostatic systems with a nonzero cosmological constant on compact manifolds with boundary. We establish new geometric properties for electrostatic manifolds in higher dimensions, extending previous results in the literature. Moreove... | https://arxiv.org/abs/2508.10258 | Academic Papers | svg |
d2b7d6ec3e563b0fe932b05e4bf289a1e3c6f6c0f955224ab0678a28321049b7 | 2026-01-16T00:00:00-05:00 | False Data-Injection Attack Detection in Cyber-Physical Systems: A Wasserstein Distributionally Robust Reachability Optimization Approach | arXiv:2508.12402v2 Announce Type: replace Abstract: Cyber-physical system (CPS) is the foundational backbone of modern critical infrastructures, so ensuring its security and resilience against cyber-attacks is of pivotal importance. This paper addresses the challenge of designing anomaly detectors for CPS under false-d... | https://arxiv.org/abs/2508.12402 | Academic Papers | svg |
3b90c8492b986a3442270f4d11c08a6950d2a7822a715ffe68c25a434c66e584 | 2026-01-16T00:00:00-05:00 | New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates | arXiv:2508.12771v2 Announce Type: replace Abstract: In this article we study some new pointwise inequalities between rough singular integral operators, weighted maximal functions of the gradient and weighted Morrey spaces. These pointwise estimates will naturally lead us to a new class of weighted Sobolev-type inequali... | https://arxiv.org/abs/2508.12771 | Academic Papers | svg |
eacc7eff51982b91661511c28789ebbeda5cc98e11b0308863214ef99f37b3fc | 2026-01-16T00:00:00-05:00 | Voter Model stability with respect to conservative noises | arXiv:2509.02717v2 Announce Type: replace Abstract: The notions of noise sensitivity and stability were recently extended for the voter model. In this model, the vertices of a graph have opinions that are updated by uniformly selecting edges. We further extend stability results to different classes of perturbations. We... | https://arxiv.org/abs/2509.02717 | Academic Papers | svg |
985676debacd619c6f8509e39a182f7f2efdb73676d86ccfac62b531d49b41d5 | 2026-01-16T00:00:00-05:00 | Sequential Change Detection with Differential Privacy | arXiv:2509.02768v2 Announce Type: replace Abstract: Sequential change detection is a fundamental problem in statistics and signal processing, with the CUSUM procedure widely used to achieve minimax detection delay under a prescribed false-alarm rate when pre- and post-change distributions are fully known. However, rele... | https://arxiv.org/abs/2509.02768 | Academic Papers | svg |
21d4fb6700e06e5420453eb4cee1037c624facb450a0e7f8cb030430207d517f | 2026-01-16T00:00:00-05:00 | Chebyshev's bias for modular forms | arXiv:2509.04187v2 Announce Type: replace Abstract: We study Chebyshev's bias for the signs of Fourier coefficients of cuspidal newforms on $\Gamma_0(N)$. Our main result shows that the bias towards either sign is completely determined by the order of vanishing of the $L$-function $L(s, f)$ at the central point of the ... | https://arxiv.org/abs/2509.04187 | Academic Papers | svg |
3ccfa20a68aaafdf984baa8f70c9a5c07000c127855f6f91f53357924bd71bfb | 2026-01-16T00:00:00-05:00 | Polynomial Stability of Non-Linearly Damped Contraction Semigroups | arXiv:2509.04275v2 Announce Type: replace Abstract: We investigate the stability properties of an abstract class of semi-linear systems. Our main result establishes rational rates of decay for classical solutions assuming a certain non-uniform observability estimate for the linear part and suitable conditions on the no... | https://arxiv.org/abs/2509.04275 | Academic Papers | svg |
11f062a95c2ad74dff68debc3ff6b213a930e670f6d30e5e7b22803ef07d8eda | 2026-01-16T00:00:00-05:00 | On the geometry of punctual Hilbert schemes on singular curves and their motivic zeta functions | arXiv:2509.06761v4 Announce Type: replace Abstract: Inspired by the work of Soma and Watari, we define a tree structure on certain subsemimodules of the semigroup $\Gamma$ associated with an irreducible plane curve singularity $(C,O)$. Building on results of Oblomkov, Rasmussen, and Shende, we show that for specific cl... | https://arxiv.org/abs/2509.06761 | Academic Papers | svg |
686d150e53b2ce484b8a43f94b32d738c16b85a59d4554ef9bd38d4d4b18483d | 2026-01-16T00:00:00-05:00 | Timelike conjugate points in Lorentzian length spaces | arXiv:2509.12855v3 Announce Type: replace Abstract: We study notions of conjugate points along timelike geodesics in the synthetic setting of Lorentzian (pre-)length spaces, inspired by earlier work for metric spaces by Shankar--Sormani. After preliminary considerations on convergence of timelike and causal geodesics, ... | https://arxiv.org/abs/2509.12855 | Academic Papers | svg |
1188d45c49b03418899e6f5186f522374787a8616b4e111c7186b81df0475912 | 2026-01-16T00:00:00-05:00 | The strange story of an almost unknown prime number counter: The Rafael Barrett formula | arXiv:2509.19324v5 Announce Type: replace Abstract: In this brief article, we present the formula created by Rafael Barrett in 1903 in a note to Henri Poincar\'e, which remained unknown for decades. Discovered in the 1930s by a Uruguayan mathematician, this formula was published and analyzed in a journal published in M... | https://arxiv.org/abs/2509.19324 | Academic Papers | svg |
e43ce9f5663023c3e5d3359076b55bc300b6ce39d2e5fd4ec556a103ec3e615c | 2026-01-16T00:00:00-05:00 | On Rapid mixing for random walks on nilmanifolds | arXiv:2510.00398v3 Announce Type: replace Abstract: We prove rapid mixing for almost all random walks generated by $m$ translations on an arbitrary nilmanifold under mild assumptions on the size of $m$. For several classical classes of nilmanifolds, we show $m=2$ suffices. This provides a partial answer to the question... | https://arxiv.org/abs/2510.00398 | Academic Papers | svg |
00f172b204bec669bcb3f2adcd2941f8a518845b8539d5dbe2b9783f6b923ec5 | 2026-01-16T00:00:00-05:00 | A flux-based approach for analyzing the disguised toric locus of reaction networks | arXiv:2510.03621v2 Announce Type: replace Abstract: Dynamical systems with polynomial right-hand sides are very important in various applications, e.g., in biochemistry and population dynamics. The mathematical study of these dynamical systems is challenging due to the possibility of multistability, oscillations, and c... | https://arxiv.org/abs/2510.03621 | Academic Papers | svg |
509d635a0bcbd7ea2bceb619ee5fe918cf82eb060d62d67ed319515dcbcf5efc | 2026-01-16T00:00:00-05:00 | Diameter and mixing time of the giant component in the percolated hypercube | arXiv:2510.13348v3 Announce Type: replace Abstract: We consider bond percolation on the $d$-dimensional binary hypercube with $p=c/d$ for fixed $c>1$. We prove that the typical diameter of the giant component $L_1$ is of order $\Theta(d)$, and the typical mixing time of the lazy random walk on $L_1$ is of order $\Theta... | https://arxiv.org/abs/2510.13348 | Academic Papers | svg |
8af10c10c31900c8f4cec4718fd1661f9cd2f685bb6f813b93335e787878db90 | 2026-01-16T00:00:00-05:00 | INTHOP: A Second-Order Globally Convergent Method for Nonconvex Optimization | arXiv:2510.22342v3 Announce Type: replace Abstract: Second-order Newton-type algorithms that leverage the exact Hessian or its approximation are central to solve nonlinear optimization problems. However, their applications in solving large-scale nonconvex problems are hindered by three primary challenges: (1) the high ... | https://arxiv.org/abs/2510.22342 | Academic Papers | svg |
91b0c703ea37adfa68a217e1def0ed2830b655c64e4af2b5c90f0a963c140669 | 2026-01-16T00:00:00-05:00 | Monotone Sobolev extensions in metric surfaces and applications to uniformization | arXiv:2510.26458v2 Announce Type: replace Abstract: We prove a monotone Sobolev extension theorem for maps to Jordan domains with rectifiable boundary in metric surfaces of locally finite Hausdorff 2-measure. This is then used to prove a uniformization result for compact metric surfaces by minimizing energy in the clas... | https://arxiv.org/abs/2510.26458 | Academic Papers | svg |
43fe5d3a8cde5b8c6d995dceced450ec5d6ab13a9b8425f16e283c047c9c47c0 | 2026-01-16T00:00:00-05:00 | Genus two embedded minimal surfaces in $\mathbb{S}^3$ with bidihedral symmetry | arXiv:2511.16295v2 Announce Type: replace Abstract: The isometry group of the classical Lawson embedded minimal surface $\xi_{2,1}\subset \mathbb{S}^3$ of genus 2 is isomorphic to the product $S_3\times D_4$ of the permutation group of three elements and the dihedral group of order 8 (symmetries of a square). $S_3\time... | https://arxiv.org/abs/2511.16295 | Academic Papers | svg |
61e48e062d844f0c0523e443dc0d31b8becfcc281295ec83536d72827f0f68df | 2026-01-16T00:00:00-05:00 | Exceptions to the Erd\H os--Straus--Schinzel conjecture | arXiv:2511.16817v2 Announce Type: replace Abstract: A famous conjecture of Erd\H os and Straus is that for every integer $n\ge2$, $4/n$ can be represented as $1/x+1/y+1/z$, where $x,y,z$ are positive integers. This conjecture was generalized to $5/n$ by Sierpi\'nski, and then Schinzel conjectured that for every integer... | https://arxiv.org/abs/2511.16817 | Academic Papers | svg |
273ff989e90c196fdb9f01e06d02b630b934754080c80ac42e138b22b47081aa | 2026-01-16T00:00:00-05:00 | Skew-symmetrizable cluster algebras from surfaces and symmetric quivers | arXiv:2512.12247v2 Announce Type: replace Abstract: We study skew-symmetrizable cluster algebras $\mathcal{A}$ associated with unpunctured surfaces $\tilde{\mathbf{S}}$ endowed with an orientation-preserving involution $\sigma$. We give a geometric realization of such cluster algebras by showing that cluster variables ... | https://arxiv.org/abs/2512.12247 | Academic Papers | svg |
ba8c6e1caef0a242ce739b2923c9f6785db6b1821a625ec82b7a7b990f004f96 | 2026-01-16T00:00:00-05:00 | Relative center construction for $G$-graded C$^*$-tensor categories and Longo-Rehren inclusions | arXiv:2512.21485v2 Announce Type: replace Abstract: Gelaki-Naidu-Nikshych and Turaev-Virelizier showed the existence of $G$-braiding on the relative Drinfeld center of a $G$-graded tensor category. We will explain this concept from the viewpoint of Longo-Rehren inclusions. | https://arxiv.org/abs/2512.21485 | Academic Papers | svg |
a5446311c37eeab9e88b20f7e7a43b11c640d88a7e9a50ad271af72e6b251d6f | 2026-01-16T00:00:00-05:00 | Asymmetry in Spectral Graph Theory: Harmonic Analysis on Directed Networks via Biorthogonal Bases (Random-Walk Laplacian Formulation) | arXiv:2512.21770v2 Announce Type: replace Abstract: The operator-theoretic dichotomy underlying diffusion on directed networks is \emph{symmetry versus non-self-adjointness} of the Markov transition operator. In the reversible (detailed-balance) regime, a directed random walk $P$ is self-adjoint in a stationary $\pi$-w... | https://arxiv.org/abs/2512.21770 | Academic Papers | svg |
1a3e05253c7a8bbcdbfe1701435315d514fe38791d9e9adb4ea185027b6dbd08 | 2026-01-16T00:00:00-05:00 | On the number of words of $N=3 \,n$ letters with a three-letter alphabet | arXiv:2512.22362v2 Announce Type: replace Abstract: In this paper we address the well-known problem of counting the number of $3n$-letter words that can be formed from a three-letter alphabet by decomposing it into four possible cases based on its remainder when divided by three. The solution to the problem also gives ... | https://arxiv.org/abs/2512.22362 | Academic Papers | svg |
300b05e53aeb4a32353c4d48c0e643da2910fda5862952aa08af6ea22cadeeac | 2026-01-16T00:00:00-05:00 | A Proximal-Gradient Method for Solving Regularized Optimization Problems with General Constraints | arXiv:2512.23166v2 Announce Type: replace Abstract: We propose, analyze, and test a proximal-gradient method for solving regularized optimization problems with general constraints. The method employs a decomposition strategy to compute trial steps and uses a merit function to determine step acceptance or rejection. Und... | https://arxiv.org/abs/2512.23166 | Academic Papers | svg |
7bd4dc9a710a9b87eab7caebe8fc5b3bf1b9b6829a9e6e6dbfffb03eda587262 | 2026-01-16T00:00:00-05:00 | Chamber zeta function and closed galleries in the standard non-uniform complex from $\operatorname{PGL}_3$ | arXiv:2512.23276v2 Announce Type: replace Abstract: We introduce the \emph{chamber zeta function} for a complex of groups, defined via an Euler product over primitive tailless chamber galleries, extending the Ihara--Bass framework from weighted graphs to higher-rank settings. Let $\mathcal{B}$ be the Bruhat--Tits build... | https://arxiv.org/abs/2512.23276 | Academic Papers | svg |
5b8970d0412f294302973fcb06ef830bc7526bc9c46bb22ed5e74da6f227555a | 2026-01-16T00:00:00-05:00 | Polygons in Polygons with a Twist | arXiv:2601.00899v3 Announce Type: replace Abstract: This is a study of the construction of particular regular sub-n-gons T in regular n-gons P using a special system of chords of P. In particular, some of these sub-n-gons have areas which are integer divisors of the area of the given n-gon P. Initially, the study will ... | https://arxiv.org/abs/2601.00899 | Academic Papers | svg |
b2cf53a9caebe3c91f5e35be510d2f5af3e6a284b2df41290cf7a2bf04105eb3 | 2026-01-16T00:00:00-05:00 | On the forward self-similar solutions to the two-dimensional Navier-Stokes equations | arXiv:2601.03833v2 Announce Type: replace Abstract: We establish the global existence of forward self-similar solutions to the two-dimensional incompressible Navier-Stokes equations for any divergence-free initial velocity that is homogeneous of degree $-1$ and locally H\"older continuous. This result requires no small... | https://arxiv.org/abs/2601.03833 | Academic Papers | svg |
89fbee612b1b9d91e8c47621a3968a3bd56c4e44fcbe62cbd342005af09f4708 | 2026-01-16T00:00:00-05:00 | Ergodic Theorems and Equivalence of Green's Kernel for Random Walks in Random Environments | arXiv:2601.04161v2 Announce Type: replace Abstract: We study the Ergodic Properties of Random Walks in stationary ergodic environments without uniform ellipticity under a minimal assumption. There are two main components in our work. The first step is to adopt the arguments of Lawler to first prove a uniqueness princip... | https://arxiv.org/abs/2601.04161 | Academic Papers | svg |
b1c3e4156cd1507012d9974229578f8508e700a147f2c2a883c9f0dc25d87291 | 2026-01-16T00:00:00-05:00 | Linear identities for partition pairs with $5$-cores | arXiv:2601.04743v2 Announce Type: replace Abstract: We prove an infinite family of linear identities for the number $A_5(n)$ of partition pairs of $n$ with $5$-cores by using certain theta function identities involving the Ramanujan's parameter $k(q)$ due to Cooper, and Lee and Park. Consequently, we deduce an infinite... | https://arxiv.org/abs/2601.04743 | Academic Papers | svg |
629802001761d47d42d799c9573f591f19e7430fca9f94b9987e2e5a55b4c827 | 2026-01-16T00:00:00-05:00 | A Unified Spectral Framework for Aging, Heterogeneous, and Distributed Order Systems via Weighted Weyl-Sonine Operators | arXiv:2601.05423v2 Announce Type: replace Abstract: While General Fractional Calculus has successfully expanded the scope of memory operators beyond power-laws, standard formulations remain predominantly restricted to the half-line via Riemann-Liouville or Caputo definitions. This constraint artificially truncates the ... | https://arxiv.org/abs/2601.05423 | Academic Papers | svg |
b8df2c20073a363507e8fa1e44ba7d079afb5eb9ed7559b0821417f892e9f166 | 2026-01-16T00:00:00-05:00 | Composition Ax-Kochen/Ershov principles and tame fields of mixed characteristic | arXiv:2601.05790v2 Announce Type: replace Abstract: We study in which settings we have a composition AKE principle, i.e. when the theory of the coarsening $(K,w)$ and the theory of the induced valuation $(Kw,\overline{v})$ determine the theory of the composition $(K,v)$. We show that this is the case when $(K,w)$ is ta... | https://arxiv.org/abs/2601.05790 | Academic Papers | svg |
01785b4cf994ce1459231eb5a0242410cfa8848304d9555a03532814727bc196 | 2026-01-16T00:00:00-05:00 | Global Optimization for Combinatorial Geometry Problems Revisited in the Era of LLMs | arXiv:2601.05943v2 Announce Type: replace Abstract: Recent progress in LLM-driven algorithm discovery, exemplified by DeepMind's AlphaEvolve, has produced new best-known solutions for a range of hard geometric and combinatorial problems. This raises a natural question: to what extent can modern off-the-shelf global opt... | https://arxiv.org/abs/2601.05943 | Academic Papers | svg |
090fd11f9d96b512c0c3e86a591d54815736c7fc2867d8b4d9916d43baa6a122 | 2026-01-16T00:00:00-05:00 | A Non-Renormalization Theorem for Local Functionals in Ghost-Free Vector Field Theories Coupled to Dynamical Geometry | arXiv:2601.08081v2 Announce Type: replace Abstract: We establish a non-renormalization theorem for a class of ghost-free local functionals describing massive vector field theories coupled to dynamical geometry. Under the assumptions of locality, Lorentz invariance, and validity of the effective field theory expansion b... | https://arxiv.org/abs/2601.08081 | Academic Papers | svg |
b1851e64fa89033f52f808929b91206415130201be45c32a185224fb5b56b707 | 2026-01-16T00:00:00-05:00 | The signless Laplacian spectral Tur\'an problems for hypergraphs | arXiv:2601.08595v2 Announce Type: replace Abstract: Let $\mathcal{H}=(V, E)$ be an $r$-uniform hypergraph on $n$ vertices. The signless Laplacian spectral radius of $\mathcal{H}$ is defined as the maximum modulus of the eigenvalues of the tensor $\mathcal{Q}(\mathcal{H})=\mathcal{D}(\mathcal{H})+\mathcal{A}(\mathcal{H}... | https://arxiv.org/abs/2601.08595 | Academic Papers | svg |
95f7c8183a7ef5ce19cb0cdc16e724f85e3c0ebebcbdc723b297a66b38d40e5b | 2026-01-16T00:00:00-05:00 | The Spectral Geometry of Ternary Gamma Schemes:Sheaf-Theoretic Foundations and Laplacian Clustering | arXiv:2601.09268v2 Announce Type: replace Abstract: This article develops a self-contained affine $\Gamma$-scheme theory for a class of commutative ternary $\Gamma$-semirings. By establishing all geometric and spectral results internally, the work provides a unified framework for triadic symmetry and spectral analysis.... | https://arxiv.org/abs/2601.09268 | Academic Papers | svg |
7b0ea30f8975b94e570757e231bb232de25b6a51ff253c24d65be189836bd4bb | 2026-01-16T00:00:00-05:00 | Proof of a Conjecture on Young Tableaux with Walls | arXiv:2601.09551v2 Announce Type: replace Abstract: Banderier, Marchal, and Wallner considered Young tableaux with walls, which are similar to standard Young tableaux, except that local decreases are allowed at some walls. In this work, we prove a conjecture of Fuchs and Yu concerning the enumeration of two classes of ... | https://arxiv.org/abs/2601.09551 | Academic Papers | svg |
8195abede5e92e689f079ade5720440583004b39273b903ee0bd000f9ee29ba1 | 2026-01-16T00:00:00-05:00 | The Addition Theorem for the Algebraic Entropy of Torsion Nilpotent Groups | arXiv:2601.09643v2 Announce Type: replace Abstract: The Addition Theorem for the algebraic entropy of group endomorphisms of torsion abelian groups was proved by Dikranjan, Goldsmith, Salce and Zanardo. It was later extended by Shlossberg to torsion nilpotent groups of class 2. As our main result, we prove the Addition... | https://arxiv.org/abs/2601.09643 | Academic Papers | svg |
5b4e27fab6d4f0ca2a4443a559842ebcb7ddc19b8c594d20e33b779d0ad536ac | 2026-01-16T00:00:00-05:00 | A GMM approach to estimate the roughness of stochastic volatility | arXiv:2010.04610v5 Announce Type: replace-cross Abstract: We develop a GMM approach for estimation of log-normal stochastic volatility models driven by a fractional Brownian motion with unrestricted Hurst exponent. We show that a parameter estimator based on the integrated variance is consistent and, under stronger con... | https://arxiv.org/abs/2010.04610 | Academic Papers | svg |
e641f0c8b9119b8280d097c913b8293282aeb7f05f8766ad95745a9569ab9d05 | 2026-01-16T00:00:00-05:00 | A nonparametric test for diurnal variation in spot correlation processes | arXiv:2408.02757v2 Announce Type: replace-cross Abstract: The association between log-price increments of exchange-traded equities, as measured by their spot correlation estimated from high-frequency data, exhibits a pronounced upward-sloping and almost piecewise linear relationship at the intraday horizon. There is no... | https://arxiv.org/abs/2408.02757 | Academic Papers | svg |
0eb5868e070a16396441924c8dbc6f0e515333da07a2c120f4d986977197575d | 2026-01-16T00:00:00-05:00 | An unbounded intensity model for point processes | arXiv:2408.06519v2 Announce Type: replace-cross Abstract: We develop a model for point processes on the real line, where the intensity can be locally unbounded without inducing an explosion. In contrast to an orderly point process, for which the probability of observing more than one event over a short time interval is... | https://arxiv.org/abs/2408.06519 | Academic Papers | svg |
6865a2fe3e9f58cc38009551a3ce243fe5bc08effe4ad6ef14bf58e121df2e33 | 2026-01-16T00:00:00-05:00 | Global dynamical structures from infinitesimal data | arXiv:2410.02111v2 Announce Type: replace-cross Abstract: Scientists and engineers alike target modeling of complex, high dimensional, and nonlinear dynamical systems as a central goal. Machine learning breakthroughs alongside mounting computation and data advance the efficacy of learning from trajectory measurements. ... | https://arxiv.org/abs/2410.02111 | Academic Papers | svg |
be5b0d77d1c17db49efc199594496756353d308a0f378716659e0eb7958695ad | 2026-01-16T00:00:00-05:00 | Nonlinear stability of extremal Reissner-Nordstr\"om black holes in spherical symmetry | arXiv:2410.16234v2 Announce Type: replace-cross Abstract: In this paper, we prove the codimension-one nonlinear asymptotic stability of the extremal Reissner-Nordstr\"om family of black holes in the spherically symmetric Einstein-Maxwell-neutral scalar field model, up to and including the event horizon. More precisely,... | https://arxiv.org/abs/2410.16234 | Academic Papers | svg |
087e2aad6becb5ea9c48c6f7faef64e2ec2a78fd998b8e4a6f243e62b805b41a | 2026-01-16T00:00:00-05:00 | Characterising memory in quantum channel discrimination via constrained separability problems | arXiv:2411.08110v2 Announce Type: replace-cross Abstract: Quantum memories are a crucial precondition in many protocols for processing quantum information. A fundamental problem that illustrates this statement is given by the task of channel discrimination, in which an unknown channel drawn from a known random ensemble... | https://arxiv.org/abs/2411.08110 | Academic Papers | svg |
8db6a33f38b3e729115fbae540918cccb06c120f2013e26ae4cdf3fbfb4536b1 | 2026-01-16T00:00:00-05:00 | Rational RG flow, extension, and Witt class | arXiv:2412.08935v3 Announce Type: replace-cross Abstract: Consider a renormalization group flow preserving a pre-modular fusion category $\mathcal S_1$. If it flows to a rational conformal field theory, the surviving symmetry $\mathcal S_1$ flows to a pre-modular fusion category $\mathcal S_2$ with monoidal functor $F:... | https://arxiv.org/abs/2412.08935 | Academic Papers | svg |
35e4d94d6f46dfb044b9b9270a06718a1a3975325e3d222b9ba79de74c43443e | 2026-01-16T00:00:00-05:00 | Encrypted Qubits can be Cloned | arXiv:2501.02757v3 Announce Type: replace-cross Abstract: We show that encrypted cloning of unknown quantum states is possible. Any number of encrypted clones of a qubit can be created through a unitary transformation, and each of the encrypted clones can be decrypted through a unitary transformation. The decryption of... | https://arxiv.org/abs/2501.02757 | Academic Papers | svg |
eb29c20d8ba51e749550e59c4a0cb07062fda7e0a5a6405d59295cd54e4b5225 | 2026-01-16T00:00:00-05:00 | Bosonization of Noise Effects in Nonlocal Quantum Dynamics | arXiv:2504.20891v2 Announce Type: replace-cross Abstract: Quantum systems that interact non-locally with an environment are paradigms for exploring collective phenomena. They naturally emerge in various physical contexts involving long-range, many-body interactions. We consider a general class of such open systems char... | https://arxiv.org/abs/2504.20891 | Academic Papers | svg |
7f691fc6913213ae21f3559380e7a7a82775318be041956d5e39e878f52ed18c | 2026-01-16T00:00:00-05:00 | Non-uniqueness of the steady state for run-and-tumble particles with a double-well interaction potential | arXiv:2510.07212v3 Announce Type: replace-cross Abstract: We study $N$ run-and-tumble particles (RTPs) in one dimension interacting via a double-well potential $W(r)=-k_0 \, r^2/2+g \, r^4/4$, which is repulsive at short interparticle distance $r$ and attractive at large distance. At large time, the system forms a boun... | https://arxiv.org/abs/2510.07212 | Academic Papers | svg |
5072ba010aa12a1dbb87d15391aaa422e00ddbca7425005bfb5817cb0c1975ac | 2026-01-16T00:00:00-05:00 | Uniqueness of invariant measures as a structural property of markov kernels | arXiv:2601.04900v2 Announce Type: replace-cross Abstract: We identify indecomposability as a key measure-theoretic underlying uniqueness of invariant probability measures for discrete-time Markov kernels on general state spaces. The argument relies on the mutual singularity of distinct invariant ergodic measures and on... | https://arxiv.org/abs/2601.04900 | Academic Papers | svg |
17dcb4b790c1b878383553d9a0f657f49cf9590d1e9ad33daeec319ab1c205dd | 2026-01-16T00:00:00-05:00 | A Nonlinear Mechanism for Transient Anomalous Diffusion | arXiv:2601.08083v2 Announce Type: replace-cross Abstract: Diffusion is a fundamental physical phenomenon with critical applications in fields such as metallurgy, cell biology, and population dynamics. While standard diffusion is well-understood, anomalous diffusion often requires complex non-local models. This paper in... | https://arxiv.org/abs/2601.08083 | Academic Papers | svg |
6da3704aa9c1887720e23d341dbbb03d8671e0ae8644d1e3c4875d7cd30873af | 2026-01-16T00:00:00-05:00 | Bogomol'nyi Equations in Two-Species Born--Infeld Theories Governing Vortices and Antivortices | arXiv:2601.09091v2 Announce Type: replace-cross Abstract: We derive several new Bogomol'nyi (self-dual) equations in two-species $U(1)\times U(1)$ gauge theories governed by the Born--Infeld nonlinear electrodynamics. By identifying appropriate Born--Infeld type Higgs potentials, we show that the highly nonlinear energ... | https://arxiv.org/abs/2601.09091 | Academic Papers | svg |
8b8da83d6f26e68203b6cf3f02e34237a0f926426f240008f2fe426fbfd48798 | 2026-01-16T00:00:00-05:00 | Habitable Worlds Observatory (HWO): Living Worlds Community Working Group: The Search for Life on Potentially Habitable Exoplanets | arXiv:2601.09766v1 Announce Type: new Abstract: The discovery of a biosphere on another planet would transform how we view ourselves, and our planet Earth, in relation to the rest of the cosmos. We now know Earth is one planet among eight circling our sun; our sun is part of a swirling galaxy of over one hundred billio... | https://arxiv.org/abs/2601.09766 | Academic Papers | svg |
87cb72efd794d5d6ebc4eb73f2717cb1a06403cc61ff08dd10417e380358e0d4 | 2026-01-16T00:00:00-05:00 | The X-Ray Dot: Exotic Dust or a Late-Stage Little Red Dot? | arXiv:2601.09778v1 Announce Type: new Abstract: JWST's "Little Red Dots" (LRDs) are increasingly interpreted as active galactic nuclei (AGN) obscured by dense thermalized gas rather than dust as evidenced by their X-ray weakness, blackbody-like continua, and Balmer line profiles. A key question is how LRDs connect to s... | https://arxiv.org/abs/2601.09778 | Academic Papers | svg |
4d89f0c1ac099f6b8c01b86ac78ad1a22051a970b852c4db08ab78d3938c6ed7 | 2026-01-16T00:00:00-05:00 | Breathless BEARS: [O$_{\rm \,III}$] 88$\mu$m Emission of Dusty Star-Forming Galaxies at $z = 3-4$ | arXiv:2601.09780v1 Announce Type: new Abstract: We present [O$_{\rm \,III}$] 88$\mu$m observations towards four ${\it Herschel}$-selected dusty star-forming galaxies (DSFGs; log$_{10}$ $\mu$L$_{\rm IR}$/L$_{\odot}$ = 13.5 - 14 at $z = 2.9 - 4$) using the Atacama Compact Array (ACA) in Bands 9 and 10. We detect [O$_{\rm... | https://arxiv.org/abs/2601.09780 | Academic Papers | svg |
d75443754d8bd26d70d2a9e0113bf1118aa678df134415598b06c745cf6db6a9 | 2026-01-16T00:00:00-05:00 | New Hard X-Ray and Multiwavelength Study of the PeVatron Candidate PWN G0.9+0.1 in the Galactic Center Region | arXiv:2601.09788v1 Announce Type: new Abstract: We present a new X-ray study and multiwavelength spectral energy distribution (SED) modeling of the young pulsar wind nebula (PWN) powered by the energetic pulsar PSR J1747-2809, inside the composite supernova remnant (SNR) G0.9+0.1, located in the Galactic Center region.... | https://arxiv.org/abs/2601.09788 | Academic Papers | svg |
bb3243313a9ee130e0e065ef9acb5eca628647150f5afdde96403813e8834bbe | 2026-01-16T00:00:00-05:00 | Growing in number, passive in nature: tracing the evolution of the most massive quiescent galaxies since z ~ 0.8 with BOSS and DESI | arXiv:2601.09789v1 Announce Type: new Abstract: Luminous Red Galaxies (LRGs) are among the most massive galaxies at any epoch, and lack ongoing star formation. As systems hosting most of the baryonic mass in the local Universe, they preserve imprints of the quenching mechanisms in the early Universe. We exploited the l... | https://arxiv.org/abs/2601.09789 | Academic Papers | svg |
f3f0a4bc1a24967186512aa9ff1746d6757dbb7ff4d41b2203a963b6fbd2c73e | 2026-01-16T00:00:00-05:00 | The influence of magnetic fields in Cloud-Cloud Collisions | arXiv:2601.09794v1 Announce Type: new Abstract: Cloud-cloud collisions are expected to trigger star formation by compressing gas into dense, gravitationally unstable regions. However, the role of magnetic fields in this process is unclear. We use SPH to model head-on collisions between two uniform density clouds, each ... | https://arxiv.org/abs/2601.09794 | Academic Papers | svg |
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