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f42973ce99eaf1a86307743b5536ad8b07a979fb00af2a2a4d275fd5318c40c6 | 2026-01-21T00:00:00-05:00 | A Quadratically-Constrained Convex Approximation for the AC Optimal Power Flow | arXiv:2501.05623v2 Announce Type: replace Abstract: We introduce a quadratically-constrained approximation (QCAC) of the AC optimal power flow (AC-OPF) problem. Unlike existing approximations like the DC-OPF, our model does not rely on typical assumptions such as high reactance-to-resistance ratio, near-nominal voltage... | https://arxiv.org/abs/2501.05623 | Academic Papers | svg |
e0f441914a6435eb716f51d8e0fd58bcc7601f2a445be12cd5f3a8b202aa5287 | 2026-01-21T00:00:00-05:00 | Positive solutions for fractional-order boundary value problems with or without dependence of integer-order ones | arXiv:2501.05810v2 Announce Type: replace Abstract: We investigate the existence, non-existence, uniqueness, and multiplicity of positive solutions to the following problem: \begin{align}\label{P} \left\{ \begin{array}{l} D_{0+}^\alpha u + h(t)f(u) = 0, \quad 0<1, \\[1ex] u(0)=u(1)=0, \end{array} \right. \end{align} wh... | https://arxiv.org/abs/2501.05810 | Academic Papers | svg |
442b03a8e011cef1c0bd53dcdfb975e3c628d053de609d2f14c162724f07b947 | 2026-01-21T00:00:00-05:00 | The Born approximation for the fixed energy Calder\'on problem | arXiv:2501.05889v2 Announce Type: replace Abstract: The Born approximation of a potential in the context of the Calder\'on inverse problem is an object that can be formally defined in terms of spectral data of the Dirichlet-to-Neumann map of the corresponding Schr\"odinger operator. In this article, we prove, in the ca... | https://arxiv.org/abs/2501.05889 | Academic Papers | svg |
ec60192ea71d7d1ed0c37181f7ea69b036b1387408781b9ec34339e5733364b6 | 2026-01-21T00:00:00-05:00 | Eco-evolutionary dynamics of a trait-structured predator-prey model | arXiv:2501.07379v3 Announce Type: replace Abstract: The coupling between evolutionary and ecological changes (eco-evolutionary dynamics) has been shown to be relevant among diverse species, and is also of interest outside of ecology, i.e. in cancer evolution. These dynamics play an important role in determining surviva... | https://arxiv.org/abs/2501.07379 | Academic Papers | svg |
990a1a6547e7449eda7d41ba6714f9fad6cb7d034aa4c151d6b887e6d2bc7042 | 2026-01-21T00:00:00-05:00 | Asymptotic-Preserving Neural Networks based on Even-odd Decomposition for Multiscale Gray Radiative Transfer Equations | arXiv:2501.08166v2 Announce Type: replace Abstract: We present a novel Asymptotic-Preserving Neural Network (APNN) approach utilizing even-odd decomposition to tackle the nonlinear gray radiative transfer equations (GRTEs). Our AP loss demonstrates consistent stability concerning the small Knudsen number, ensuring the ... | https://arxiv.org/abs/2501.08166 | Academic Papers | svg |
efb4389f7f5b0c23a994a707534a96b23d53c6bf1fc6012b6c6a152d6bd1b3d2 | 2026-01-21T00:00:00-05:00 | Stable determination of the potential for the Helmholtz equation in the high frequency limit from boundary measurements | arXiv:2501.10751v2 Announce Type: replace Abstract: We establish a triple logarithmic stability estimate of determining the potential in a Helmholtz equation from a partial Dirichlet-to-Neumann map in the high frequency limit. This estimate is proved under the assumption that the potential is known near the boundary of... | https://arxiv.org/abs/2501.10751 | Academic Papers | svg |
bf1784806c8e799b7319ac9c795e21e07ab403ee45800e0ccfea4f76c36bff69 | 2026-01-21T00:00:00-05:00 | D2D Coded Caching Schemes for Multiaccess Networks with Combinatorial Access Topology | arXiv:2501.10756v2 Announce Type: replace Abstract: This paper considers wireless device-to-device (D2D) coded caching in a multiaccess network, where the users communicate with each other and each user can access multiple cache nodes. Access topologies derived from two combinatorial designs known as the $t$-design and... | https://arxiv.org/abs/2501.10756 | Academic Papers | svg |
26196cd5d4d0e276af2a86d18d6e14d93b0cb4fdf27a9a0c75acf56c7ed3a752 | 2026-01-21T00:00:00-05:00 | Surfaces with flat normal connection in 4-dimensional space forms | arXiv:2501.15780v3 Announce Type: replace Abstract: Let $N$ be a Riemannian, Lorentzian or neutral $4$-dimensional space form with constant sectional curvature $L_0$. In this paper, noticing the linearly dependent condition, we obtain characterizations of space-like surfaces in $N$ with flat normal connection and paral... | https://arxiv.org/abs/2501.15780 | Academic Papers | svg |
9597e9ab5744eeb050ddec35b95eba3eaf08342a3a0e1ec57835eba51dd1e9e5 | 2026-01-21T00:00:00-05:00 | A Lyapunov analysis of Korpelevich's extragradient method with fast and flexible extensions | arXiv:2502.00119v2 Announce Type: replace Abstract: We develop a Lyapunov-based analysis of Korpelevich's extragradient method and show that it achieves an $o(1/k)$ last-iterate convergence rate of the constructed Lyapunov function. This Lyapunov function simultaneously upper bounds several standard measures of optimal... | https://arxiv.org/abs/2502.00119 | Academic Papers | svg |
dcabefac1480c8082b58c4cd004c65ac57c8ed95e22e3ffb83d218c4c3712866 | 2026-01-21T00:00:00-05:00 | Extreme-Scale EV Charging Infrastructure Planning for Last-Mile Delivery Using High-Performance Parallel Computing | arXiv:2502.05152v2 Announce Type: replace Abstract: This paper addresses stochastic charger location and allocation problems under queue congestion for last-mile delivery using electric vehicles (EVs). The objective is to decide where to open charging stations and how many chargers of each type to install, subject to b... | https://arxiv.org/abs/2502.05152 | Academic Papers | svg |
fb6244aba545c220d2a9971ac0b6bbeb929126e88c545c87256237b29e499559 | 2026-01-21T00:00:00-05:00 | Hankel continued fractions and Hankel determinants for $q$-deformed metallic numbers | arXiv:2502.05993v2 Announce Type: replace Abstract: Fix $n$ a positive integer. Take the $n$-th metallic number $\phi_n=\frac{n+\sqrt{n^2+4}}{2}$ (e.g. $\phi_1$ is the golden number) and let $\Phi_n(q)$ be its $q$-deformation in the sense of S. Morier-Genoud and V. Ovsienko. This is an algebraic continued fraction whic... | https://arxiv.org/abs/2502.05993 | Academic Papers | svg |
e6aaf8bab054d107d49ded92f46656cd2e353feedb956415daf145b1c74edc61 | 2026-01-21T00:00:00-05:00 | Homeomorphism groups of basilica, rabbit and airplane Julia sets | arXiv:2502.07762v2 Announce Type: replace Abstract: The airplane, the basilica and the Douady rabbit (and, more generally, rabbits with more than two ears) are well-known Julia sets of complex quadratic polynomials. In this paper we study the groups of all homeomorphisms of such fractals and of all automorphisms of the... | https://arxiv.org/abs/2502.07762 | Academic Papers | svg |
999d1168ec64480921377ca8e801932d68162ec34ffa37782a16ab0ba4c57b0b | 2026-01-21T00:00:00-05:00 | Newton-Mandelbrot set and Murase-Mandelbrot set | arXiv:2502.14872v2 Announce Type: replace Abstract: We obtain four extended Newton's methods and three extended Mandelbrot's recurrence formulas from the Wasan (Japanese mathematics in the Edo period (1603-1868)). Furthermore, two extended Newton's methods relate to one of the extended Mandelbrot's recurrence formulas.... | https://arxiv.org/abs/2502.14872 | Academic Papers | svg |
d7fd1489872e4ff2a5259fc9c92f4ec69c9f13b2137ebd8cf5da91dad90e279e | 2026-01-21T00:00:00-05:00 | A Jacobian-free Newton-Krylov method for cell-centred finite volume solid mechanics | arXiv:2502.17217v2 Announce Type: replace Abstract: This study investigates the efficacy of Jacobian-free Newton-Krylov methods in finite-volume solid mechanics. Traditional Newton-based approaches require explicit Jacobian matrix formation and storage, which can be computationally expensive and memory-intensive. In co... | https://arxiv.org/abs/2502.17217 | Academic Papers | svg |
376589d30d9ebc05dfa48254fd389b9eec82ea03a72c8dd8c5211dd9b4a4a2d5 | 2026-01-21T00:00:00-05:00 | Multiplier modules of Hilbert C*-modules revisited | arXiv:2502.17959v3 Announce Type: replace Abstract: The theory of multiplier modules of Hilbert C*-modules is reconsidered to obtain more properties of these special Hilbert C*-modules. The property of a Hilbert C*-module to be a multiplier C*-module is shown to be an invariant with respect to the consideration as a le... | https://arxiv.org/abs/2502.17959 | Academic Papers | svg |
4bf92377a06906efbdbfe497883855520281b8957e17be44118e4fb0c048f063 | 2026-01-21T00:00:00-05:00 | Rigidity of the escaping set of certain H\'enon maps | arXiv:2502.19358v3 Announce Type: replace Abstract: Let $H$ be a H\'enon map of the form $H(x,y)=(y,p(y)-ax)$. We prove that the escaping set $U^+$ (or equivalently, the non-escaping set $K^+$), of $H$ is rigid under the actions of automorphisms of $\mathbb{C}^2$ if the degree of $H=d\le |a|$. Specifically, every autom... | https://arxiv.org/abs/2502.19358 | Academic Papers | svg |
4f0dd5a882ace49ecd8d242d44887a8a0a20113919e90a2b05530789cfe4a35f | 2026-01-21T00:00:00-05:00 | Zhuk's bridges, centralizers, and similarity | arXiv:2503.03551v2 Announce Type: replace Abstract: This is the second 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 extend Zhuk's "bridge" construction to arbitrary meet-irreducible congruence... | https://arxiv.org/abs/2503.03551 | Academic Papers | svg |
7a4d60870d2e74a042e12e360efb927654d7c26a203ca6b5dab4ebe1e59a70b5 | 2026-01-21T00:00:00-05:00 | A positive product formula of integral kernels of $k$-Hankel transforms | arXiv:2503.03554v4 Announce Type: replace Abstract: The $k$-Hankel transform $F_{k,1}$ (or the $(k,1)$-generalized Fourier transform) is the Dunkl analogue of the unitary inversion operator in the minimal representation of a conformal group initiated by T. Kobayashi and G. Mano. It is one of the two most significant ca... | https://arxiv.org/abs/2503.03554 | Academic Papers | svg |
1a115dac645159259be73d476f002c4495ba50e5036db3dc1f907b22a152a46f | 2026-01-21T00:00:00-05:00 | Consecutive Patterns, Kostant's Problem and Type $A_6$ | arXiv:2503.07809v2 Announce Type: replace Abstract: For a permutation $w$ in the symmetric group $\mathfrak{S}_{n}$, let $L(w)$ denote the simple highest weight module in the principal block of the BGG category $\mathcal{O}$ for the Lie algebra $\mathfrak{sl}_{n}(\mathbb{C})$. We first prove that $L(w)$ is Kostant nega... | https://arxiv.org/abs/2503.07809 | Academic Papers | svg |
0792692886f03a9d7a06d156e3917140deb53aa5dd5c92be33a50dcc09e794cf | 2026-01-21T00:00:00-05:00 | Exotic spherical flexible octahedra and counterexamples to the Modified Bellows Conjecture | arXiv:2503.09582v2 Announce Type: replace Abstract: In 2014 the author showed that in the three-dimensional spherical space, alongside with three classical types of flexible octahedra constructed by Bricard, there exists a new type of flexible octahedra, which was called exotic. In the present paper we give a geometric... | https://arxiv.org/abs/2503.09582 | Academic Papers | svg |
ea1fe4b42051e878736e9d8d682d24c20f5433ae4b5af9866d91a26547eca850 | 2026-01-21T00:00:00-05:00 | Rigorous analysis of shape transitions in frustrated elastic ribbons | arXiv:2503.11779v2 Announce Type: replace Abstract: Ribbons are elastic bodies of thickness $t$ and width $w$ with $t\ll w\ll 1$ (after appropriate nondimensionalization). Many ribbons in nature have a non-trivial internal geometry, making them incompatible with Euclidean space. This incompatibility -- expressed mathem... | https://arxiv.org/abs/2503.11779 | Academic Papers | svg |
24731ce9bbe985206a583f47f9bd4c5f3ac26ee348db017998830076da6c0ef3 | 2026-01-21T00:00:00-05:00 | Spanning trees in directed square cycles | arXiv:2503.12561v2 Announce Type: replace Abstract: We classify weakly connected spanning closed (WCSC) subgraphs of $\overrightarrow{C_n^2}$, the square of a directed $n$-vertex cycle. Then we show that every spanning tree of $\overrightarrow{C_n^2}$ is contained in a unique nontrivial WCSC subgraph of $\overrightarro... | https://arxiv.org/abs/2503.12561 | Academic Papers | svg |
c83ec53f0f5b9089b47ad27129a10596de20b051350412e808992e8997325908 | 2026-01-21T00:00:00-05:00 | Characterising 1-rectifiable metric spaces via connected tangent spaces | arXiv:2503.15159v2 Announce Type: replace Abstract: We prove that in a complete metric space $X$, $1$-rectifiability of a set $E\subset X$ with $\mathcal{H}^1(E)<\infty$ and positive lower density $\mathcal{H}^1$-a.e. is implied by the property that all tangent spaces are connected metric spaces. | https://arxiv.org/abs/2503.15159 | Academic Papers | svg |
6725c1b94652cd257a44cbd552345b5179fd4f1d5bf6a3c325d5cc7870cec58b | 2026-01-21T00:00:00-05:00 | Canonical torus action on symplectic singularities | arXiv:2503.15791v3 Announce Type: replace Abstract: We show that any symplectic singularity lying on a smoothable projective symplectic variety locally admits a good action of an algebraic torus of dimension $r \geq 1$, which is canonical. Under mild assumptions, $r=1$ is also confirmed. In particular, it admits (canon... | https://arxiv.org/abs/2503.15791 | Academic Papers | svg |
7c9f752126f563420dc184f0f172a6ebba0c9861e0d486678f993142dd894424 | 2026-01-21T00:00:00-05:00 | High-dimensional sparse recovery from function samples Decoders, guarantees and instance optimality | arXiv:2503.16209v2 Announce Type: replace Abstract: We investigate the reconstruction of multivariate functions from samples using sparse recovery techniques. For Square Root Lasso, Orthogonal Matching Pursuit, and Compressive Sampling Matching Pursuit, we demonstrate both theoretically and empirically that they allow ... | https://arxiv.org/abs/2503.16209 | Academic Papers | svg |
9f5efb090d3223a7802fb465e3dd908872e904be2f331ec2a6dd8eeeeaf4008e | 2026-01-21T00:00:00-05:00 | Two billiard domains whose billiard maps are Lazutkin conjugates are the same | arXiv:2503.19550v3 Announce Type: replace Abstract: This paper aimed to show that two billiards whose billiard maps share the same expression in Lazutkin coordinates are isometric. However, the results are incorrect as they rely on erroneous computations in Lazutkin's book concerning the expansion of the billiard map i... | https://arxiv.org/abs/2503.19550 | Academic Papers | svg |
356a2db27151b7597e0bee759ae522a5cb5b43fdc0863a141c286200e8550f69 | 2026-01-21T00:00:00-05:00 | The prime number theorem over integers of power-free polynomial values | arXiv:2504.00804v3 Announce Type: replace Abstract: Let $f(x)\in \mathbb{Z}[x]$ be an irreducible polynomial of degree $d\ge 1$. Let $k\ge2$ be an integer. The number of integers $n$ such that $f(n)$ is $k$-free is widely studied in the literature. In principle, one expects that $f(n)$ is $k$-free infinitely often, if ... | https://arxiv.org/abs/2504.00804 | Academic Papers | svg |
3728976ca68c0f3e608f477b483bbfa192254ed756137b9a754640d565691687 | 2026-01-21T00:00:00-05:00 | A Tail-Respecting Explicit Numerical Scheme for L\'evy-Driven SDEs With Superlinear Drifts | arXiv:2504.07255v2 Announce Type: replace Abstract: We present an explicit numerical approximation scheme, denoted by $\{X^n\}$, for the effective simulation of solutions $X$ to a multivariate stochastic differential equation (SDE) with a superlinearly growing $\kappa$-dissipative drift, where $\kappa>1$, driven by a m... | https://arxiv.org/abs/2504.07255 | Academic Papers | svg |
b4f3a59efaa6828ee51f5158620e0076a7af82166fecbc809fb9d27fa03a38b7 | 2026-01-21T00:00:00-05:00 | Linear complementary dual quasi-cyclic codes of index 2 | arXiv:2504.09126v3 Announce Type: replace Abstract: We provide a polynomial approach to investigate linear complementary dual (LCD) quasi-cyclic codes over finite fields. We establish necessary and sufficient conditions for LCD quasi-cyclic codes of index 2 with respect to the Euclidean, Hermitian, and symplectic inner... | https://arxiv.org/abs/2504.09126 | Academic Papers | svg |
e3a2841feaa0d8527ea3472722625d202a061fd7c6ede8a026b3a8b4fcfc0c1d | 2026-01-21T00:00:00-05:00 | Estimate for the first Dirichlet eigenvalue of $p-$Laplacian on non-compact manifolds | arXiv:2504.09856v2 Announce Type: replace Abstract: In this paper, we establish a sharp lower bound for the first Dirichlet eigenvalue of the $p$-Laplacian on bounded domains of a complete, non-compact Riemannian manifold with non-negative Ricci curvature. | https://arxiv.org/abs/2504.09856 | Academic Papers | svg |
1a46758c0b062a82bc5cfce0fd00a8066d3ac88196af6c1a6b4e50dbe0ebfaac | 2026-01-21T00:00:00-05:00 | A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems | arXiv:2504.11892v2 Announce Type: replace Abstract: A conforming finite element scheme with mixed explicit-implicit time discretization for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems in a bounded domain with periodic boundary conditions is presented. The system consists of the Navier-Stokes equations, to... | https://arxiv.org/abs/2504.11892 | Academic Papers | svg |
935b6ecaf18baf89c3be51284667d6334b2adba7bc9eebf8a60c7bbae9cd7cb6 | 2026-01-21T00:00:00-05:00 | A functional limit theorem for a dynamical system with an observable maximised on a Cantor set | arXiv:2504.12534v2 Announce Type: replace Abstract: We consider heavy-tailed observables maximised on a dynamically defined Cantor set and prove convergence of the associated point processes as well as functional limit theorems. The Cantor structure, and its connection to the dynamics, causes clustering of large observ... | https://arxiv.org/abs/2504.12534 | Academic Papers | svg |
c1c4aef0130c28221c9e2ba4d1f6bc9a926d69b031deca5f6cb6faf15f6e70a1 | 2026-01-21T00:00:00-05:00 | Linear Complementary Pairs of Quasi-Cyclic and Quasi-Twisted Codes | arXiv:2504.15231v2 Announce Type: replace Abstract: In this paper, we provide a polynomial characterization of linear complementary pairs of quasi-cyclic and quasi-twisted codes of index 2. We also give several examples of linear complementary pairs of quasi-cyclic and quasi-twisted codes with optimal security paramete... | https://arxiv.org/abs/2504.15231 | Academic Papers | svg |
11f55ec9965a8ec3aef3ff0e2e67878c4d67e1c1d5468dac40dda93e16124d4c | 2026-01-21T00:00:00-05:00 | $k$-Inductive and Interpolation-Inspired Barrier Certificates for Stochastic Dynamical Systems | arXiv:2504.15412v2 Announce Type: replace Abstract: In this paper, we introduce two new types of barrier certificates that are based on multiple functions rather than a single one. A conventional barrier certificate for a stochastic dynamical system is a nonnegative real-valued function whose expected value does not in... | https://arxiv.org/abs/2504.15412 | Academic Papers | svg |
3334c9c77ec6ccba94f77592b2851c8afb60ce6d5bdb070866548feac3f0bbf9 | 2026-01-21T00:00:00-05:00 | $\eta$-Einstein Sasakian Lie algebras | arXiv:2504.16033v2 Announce Type: replace Abstract: We study $\eta$-Einstein Sasakian structures on Lie algebras, that is, Sasakian structures whose associated Ricci tensor satisfies an Einstein-like condition. We divide into the cases in which the Lie algebra's centre is non-trivial (and necessarily one-dimensional) a... | https://arxiv.org/abs/2504.16033 | Academic Papers | svg |
7eebbd2d4c0a62f65d00a6d80c048a662ca4d6efe1ba7a121b3e17bbd427b3a9 | 2026-01-21T00:00:00-05:00 | A new approach to the classification of almost contact metric manifolds via intrinsic endomorphisms | arXiv:2504.16900v2 Announce Type: replace Abstract: In 1990, D. Chinea and C. Gonzalez gave a classification of almost contact metric manifolds into $2^{12}$ classes, based on the behaviour of the covariant derivative $\nabla^g\Phi$ of the fundamental $2$-form $\Phi$. This large number makes it difficult to deal with t... | https://arxiv.org/abs/2504.16900 | Academic Papers | svg |
be363a9765dcf236006f9f2be671f1c2c47ae691bb27369c8320ea8a03b23b3c | 2026-01-21T00:00:00-05:00 | A finite volume Simo-Reissner beam method for moored floating body dynamics | arXiv:2504.18248v2 Announce Type: replace Abstract: This paper presents a novel finite volume mooring line model based on the geometrically exact Simo-Reissner beam model for analysing the interaction between a floating rigid body and its mooring lines. The coupled numerical model is implemented entirely within a finit... | https://arxiv.org/abs/2504.18248 | Academic Papers | svg |
b4499232409494100bb8dcc9461f8b22bf17f1e35d506018bc87a37cdda6d986 | 2026-01-21T00:00:00-05:00 | Homogeneity in Coxeter groups and split crystallographic groups | arXiv:2504.18354v2 Announce Type: replace Abstract: We prove that affine Coxeter groups, even hyperbolic Coxeter groups and one-ended hyperbolic Coxeter groups are homogeneous in the sense of model theory. More generally, we prove that many (Gromov) hyperbolic groups generated by torsion elements are homogeneous. In co... | https://arxiv.org/abs/2504.18354 | Academic Papers | svg |
daea961507df6526d297f1a1886cb0a93e98c8870757b7b469bc0bd7e31688b8 | 2026-01-21T00:00:00-05:00 | On the Relation Between Treewidth, Tree-Independence Number, and Tree-Chromatic Number of Graphs | arXiv:2504.19751v2 Announce Type: replace Abstract: We investigate two recently introduced graph parameters, both of which measure the complexity of the tree decompositions of a given graph. Recall that the treewidth ${\rm tw}(G)$ of a graph $G$ measures the largest number of vertices required in a bag of every tree de... | https://arxiv.org/abs/2504.19751 | Academic Papers | svg |
3eed913f9fc5b1b861961a8f41aaf9c702d06b8886fd1d865ebb8ac1911fe930 | 2026-01-21T00:00:00-05:00 | Global Activity Scores | arXiv:2505.00711v4 Announce Type: replace Abstract: We introduce a new global sensitivity measure, the global activity scores. We establish its theoretical connection with Sobol' sensitivity indices and demonstrate its performance through numerical examples. In these examples, we compare global activity scores with Sob... | https://arxiv.org/abs/2505.00711 | Academic Papers | svg |
f918db989ed0512eda2d474a816aa756ad851239d34f5a127fd2a22237d6afaa | 2026-01-21T00:00:00-05:00 | p-adic Heisenberg-Robertson-Schrodinger and p-adic Maccone-Pati Uncertainty Principles | arXiv:2505.02838v2 Announce Type: replace Abstract: Let $\mathcal{X}$ be a p-adic Hilbert space. Let $A:\mathcal{D}(A)\subseteq \mathcal{X}\to \mathcal{X}$ and $B: \mathcal{D}(B)\subseteq \mathcal{X}\to \mathcal{X}$ be possibly unbounded self-adjoint linear operators. For $x \in \mathcal{D}(A)$ with $\langle x, x \rang... | https://arxiv.org/abs/2505.02838 | Academic Papers | svg |
16b9b8ba2105cdf99c23e4c1f89f1b07334291fbbae64f6ba3b03d7be4641e8e | 2026-01-21T00:00:00-05:00 | Rationality patterns | arXiv:2505.07151v2 Announce Type: replace Abstract: In this paper, we establish general categorical frameworks that extend Loewy's classification scheme for finite-dimensional real irreducible representations of groups and Borel--Tits' criterion for the existence of rational forms of representations of $\bar{F}\otimes_... | https://arxiv.org/abs/2505.07151 | Academic Papers | svg |
bfba56d65dc2ac8c0dbf63cb811c8b8ae5f2c689a3b57cff64ec1f2c207e504a | 2026-01-21T00:00:00-05:00 | High-Order Hermite Optimization: Fast and Exact Gradient Computation in Open-Loop Quantum Optimal Control using a Discrete Adjoint Approach | arXiv:2505.09857v3 Announce Type: replace Abstract: This work introduces the High-Order Hermite Optimization (HOHO) method, an open-loop discrete adjoint method for quantum optimal control. Our method is the first of its kind to efficiently compute exact (discrete) gradients when using continuous, parameterized control... | https://arxiv.org/abs/2505.09857 | Academic Papers | svg |
67d04df2a72dcac29a819c353b1e0eb06384c230185d1e4cc83297d8ab8112b3 | 2026-01-21T00:00:00-05:00 | Long-Term Average Impulse Control with Mean Field Interactions | arXiv:2505.11345v2 Announce Type: replace Abstract: This paper analyzes and explicitly solves a class of long-term average impulse control problems with a specific mean-field interaction. The underlying process is a general one-dimensional diffusion with appropriate boundary behavior. The model is motivated by applicat... | https://arxiv.org/abs/2505.11345 | Academic Papers | svg |
65659f1688de8ef53801ca58e77b791890ea915c6c1e12b5440e09d9a3b01891 | 2026-01-21T00:00:00-05:00 | Existence of Friedrich-Wintgen Bound States in the Continuum: Cavity with a Thin Waveguide Opening | arXiv:2505.12297v2 Announce Type: replace Abstract: Bound states in the continuum (BICs) are localized states embedded within a continuum of propagating waves. Perturbations that disrupt BICs typically induce ultra-strong resonances, a phenomenon enabling diverse applications in photonics. This work investigates the ex... | https://arxiv.org/abs/2505.12297 | Academic Papers | svg |
b66f17d68fb43abbbc684731025b63d5e26ac1816dcf65e11204bd4ab1e4fea7 | 2026-01-21T00:00:00-05:00 | Semiparametric Off-Policy Inference for Optimal Policy Values under Possible Non-Uniqueness | arXiv:2505.13809v4 Announce Type: replace Abstract: Off-policy evaluation (OPE) constructs confidence intervals for the value of a target policy using data generated under a different behavior policy. Most existing inference methods focus on fixed target policies and may fail when the target policy is estimated as opti... | https://arxiv.org/abs/2505.13809 | Academic Papers | svg |
fc3630d845bde84468c578fd6e8877e3b1d147e481f8c66b58344564a777a437 | 2026-01-21T00:00:00-05:00 | Periodic operators over a component domain and homogenization of some class of quasi-linear elliptic problems in two-component domain with interfacial resistance | arXiv:2505.14944v3 Announce Type: replace Abstract: This paper addresses the periodic homogenization of quasilinear elliptic PDEs in a two-component domain with an interfacial thermal barrier. It introduces a periodic extension operator that ensures strong convergence of function sequences in the Sobolev space. Moreove... | https://arxiv.org/abs/2505.14944 | Academic Papers | svg |
472ae9ee49523f34405f508273f5f52250d7d04e8c80bf4c16eaaf11b17c3dc3 | 2026-01-21T00:00:00-05:00 | An adaptive proximal safeguarded augmented Lagrangian method for nonsmooth DC problems with convex constraints | arXiv:2505.15369v2 Announce Type: replace Abstract: A proximal safeguarded augmented Lagrangian method for minimizing the difference of convex (DC) functions over a nonempty, closed and convex set with additional linear equality as well as convex inequality constraints is presented. Thereby, all functions involved may ... | https://arxiv.org/abs/2505.15369 | Academic Papers | svg |
77dd3e6c896b95553d4eb65adcf8bd528f781b5720e2c788b01e38c01288c3a1 | 2026-01-21T00:00:00-05:00 | On groups with EDT0L word problem | arXiv:2505.20057v3 Announce Type: replace Abstract: We prove that the word problem for the infinite cyclic group is not EDT0L, and obtain as a corollary that a finitely generated group with EDT0L word problem must be torsion. In addition, we show that the property of having an EDT0L word problem is invariant under chan... | https://arxiv.org/abs/2505.20057 | Academic Papers | svg |
0bda761be76360f41bb244575c420d23185d2ff9558acb470c4aafa78fed1b5b | 2026-01-21T00:00:00-05:00 | Locating Extremal Periodic Orbits for the Planar Circular Restricted Three Body Problem using Polynomial Sum-of-Squares Optimization | arXiv:2505.23430v2 Announce Type: replace Abstract: With an increasing interest in the design of long and complex space missions, the search for orbits that require the least amount of fuel is of fundamental interest. This paper develops existing computational models for locating Unstable Periodic Orbits (UPOs) in poly... | https://arxiv.org/abs/2505.23430 | Academic Papers | svg |
e040eb5e54bbc9cf9d405c6ce4e3f2954e69c362af779ee5dc4d345b4c84924a | 2026-01-21T00:00:00-05:00 | Rydberg Atomic Receivers for Multi-Band Communications and Sensing | arXiv:2505.24168v3 Announce Type: replace Abstract: Harnessing multi-level electron transitions, Rydberg Atomic REceivers (RAREs) can detect wireless signals across a wide range of frequency bands, from Megahertz to Terahertz. This capability enables multi-band wireless communications and sensing (CommunSense). Existin... | https://arxiv.org/abs/2505.24168 | Academic Papers | svg |
2edd465323a9cb2bdf71f404fc934fa0b7dbd2936528bc8795f76719917a2d9a | 2026-01-21T00:00:00-05:00 | Convergence of spectra of digraph limits | arXiv:2506.04426v2 Announce Type: replace Abstract: The relation between densities of cycles and the spectrum of a graphon, which implies that the spectra of convergent graphons converge, fundamentally relies on the self-adjointness of the linear operator associated with a graphon. In this short paper, we consider the ... | https://arxiv.org/abs/2506.04426 | Academic Papers | svg |
7ca1ea716d8127abbc8a3dc5c42e446a2ffa296550fac39b8024130a94cb4fed | 2026-01-21T00:00:00-05:00 | Rejection-Sampled Linear Codes for Lossy Compression and Channel Simulation | arXiv:2506.09239v2 Announce Type: replace Abstract: We show that linear codes combined with rejection sampling can yield a capacity-achieving scheme for simulating additive exchangeable noise channels. Specifically, our scheme achieves an amount of communication within $\log e + 1$ bits from the excess functional infor... | https://arxiv.org/abs/2506.09239 | Academic Papers | svg |
2a984b5b9934e719c97da3c9fbd6e66d215e3f52d2fd2465e9c155b738d429b5 | 2026-01-21T00:00:00-05:00 | Sobolev regularity for the $\overline\partial$-Neumann operator and transverse vector fields | arXiv:2506.10372v2 Announce Type: replace Abstract: On a bounded smooth pseudoconvex domain in $\mathbb{C}^n$ with $n >2$, inspired by the compactness condition introduced by Yue Zhang, we present the new sufficient condition for the exact regularity of the $\overline\partial$-Neumann operator via the transverse vector... | https://arxiv.org/abs/2506.10372 | Academic Papers | svg |
90bb5478c3a035e650c69b0a1e90efb86ee8d912862bd6eb12172863006c8881 | 2026-01-21T00:00:00-05:00 | Two axes in non-commutative algebras with a Frobenius form | arXiv:2506.11303v5 Announce Type: replace Abstract: Throughout this paper $A$ is a commutative non-associative algebra over a field $\mathbb{F}$ of characteristic not $2.$ In addition $A$ posses a Frobenius form. We obtain detailed information about the multiplication in $A$ given two axes of type half in $A.$ | https://arxiv.org/abs/2506.11303 | Academic Papers | svg |
15c87441a7f771825008ff9ff8df04ad016165ac7793f76f57f27989f9934cea | 2026-01-21T00:00:00-05:00 | Serre's question on thin sets in projective space | arXiv:2506.13471v2 Announce Type: replace Abstract: We answer a question of Serre from the 1980s on rational points of bounded height on projective thin sets, in degree at least $4$. For degrees $2$ and $3$ we improve the known bounds in general. The focus is on thin sets of type II, namely corresponding to the images ... | https://arxiv.org/abs/2506.13471 | Academic Papers | svg |
a44e3aea56b8cfed8110321265578a673fc0452ece1638d7ded3335d7e7f79ad | 2026-01-21T00:00:00-05:00 | Instantaneous blowup for interacting SDEs with superlinear drift | arXiv:2506.21164v2 Announce Type: replace Abstract: We consider a system of interacting SDEs on the integer lattice with multiplicative noise and a drift satisfying the finite Osgood's condition. We show instantaneous everywhere blowup for initial profiles decaying slower than $\exp \left( -\sqrt{\big|\log |x|\big|}\ri... | https://arxiv.org/abs/2506.21164 | Academic Papers | svg |
2544d6c0b9e0df219609edc125a348077a22bb40ffc2485f5009f28f3e50e513 | 2026-01-21T00:00:00-05:00 | On a result by Meshulam | arXiv:2506.22553v2 Announce Type: replace Abstract: In 1996, Meshulam proved that every sequence generated by applying projections onto affine subspaces, drawn from a finite collection in Euclidean space, must be bounded. In this paper, we extend his result not only from affine subspaces to convex polyhedral subsets, b... | https://arxiv.org/abs/2506.22553 | Academic Papers | svg |
684aad527a356ac5fb68f47c85ef9a8343eff69eeecec0097c7ff9ed6c1472fb | 2026-01-21T00:00:00-05:00 | Degrees of non-Gorenstein canonical Fano threefolds with Picard number one | arXiv:2507.04615v3 Announce Type: replace Abstract: We show that the optimal upper bound for the anticanonical degrees of non-Gorenstein $\mathbb{Q}$-factorial canonical Fano threefolds with Picard number one is 200/3. | https://arxiv.org/abs/2507.04615 | Academic Papers | svg |
30058bda2695aa8c660d03bcd2b65a3adcdf8d859ac5c7279ef70772c6fd25df | 2026-01-21T00:00:00-05:00 | Weinstein neighbourhood theorems for stratified subspaces | arXiv:2507.04897v2 Announce Type: replace Abstract: By analogy with Weinstein's neighbourhood theorem, we prove a uniqueness result for symplectic neighbourhoods of a large family of stratified subspaces. This result generalizes existing constructions, e.g., in the search for exotic Lagrangians. Along the way, we prove... | https://arxiv.org/abs/2507.04897 | Academic Papers | svg |
9cb00f719e8568669a96d86c065c72194c8b20cea3a40e16bc6b946504a4dd29 | 2026-01-21T00:00:00-05:00 | Elementary equivalence and diffeomorphism groups of smooth manifolds | arXiv:2507.07427v3 Announce Type: replace Abstract: Let $M$ and $N$ be smooth manifolds, with $M$ closed and connected. If the $C^r$--diffeomorphism group of $M$ is elementarily equivalent to the $C^s$--diffeomorphism group of $N$ for some $r,s\in[1,\infty)\cup\{0,\infty\}$, then $r=s$ and $M$ and $N$ are $C^r$--diffeo... | https://arxiv.org/abs/2507.07427 | Academic Papers | svg |
15545aca57a477c43497548550c85c8ba56e2fcacf95f25152aaa1f0e31a8f38 | 2026-01-21T00:00:00-05:00 | $f$-algebra products on AL and AM-spaces | arXiv:2507.08435v2 Announce Type: replace Abstract: We characterize all $f$-algebra products on AM-spaces by constructing a canonical AM-space $W_X$ associated to each AM-space $X$, such that the $f$-algebra products on $X$ correspond bijectively to the positive cone $(W_X)_+$. This generalizes the classical descriptio... | https://arxiv.org/abs/2507.08435 | Academic Papers | svg |
7d26f0bbd89e61033194dde071748da11ebf1fc850ca67831003d7f1c13c2f55 | 2026-01-21T00:00:00-05:00 | Refinement of the theory and convergence of the Sinc convolution -- beyond Stenger's conjecture | arXiv:2507.12406v3 Announce Type: replace Abstract: The Sinc convolution is an approximate formula for indefinite convolutions proposed by Stenger. The formula was derived based on the Sinc indefinite integration formula combined with the single-exponential transformation. Although its efficiency has been confirmed in ... | https://arxiv.org/abs/2507.12406 | Academic Papers | svg |
2d899885d7dec671bc7503a075f8a007415a01a80e33da9bcb522e2dde5e5c7a | 2026-01-21T00:00:00-05:00 | Degenerations of families of bands and strings for gentle algebras | arXiv:2507.13945v2 Announce Type: replace Abstract: Let $A$ be a gentle algebra. For every collection of string and band diagrammes, we consider the constructible subset of the variety of representations containing all modules with this underlying diagramme. We study degenerations of such sets. We show that these sets ... | https://arxiv.org/abs/2507.13945 | Academic Papers | svg |
3f44e8892045b7036bfd9cdc78eb2cd8dfd5681ae0487300cafa1dac1322e5f9 | 2026-01-21T00:00:00-05:00 | The inference of Fokker-Planck equations via transport maps | arXiv:2507.15091v3 Announce Type: replace Abstract: We present a framework, which, from the trajectories detailing the spatiotemporal dynamics of a population, simultaneously reconstructs a transport map as well as the Fokker-Planck equation governing the coarse-grained probability distribution. Leveraging the Knothe-R... | https://arxiv.org/abs/2507.15091 | Academic Papers | svg |
f588ab1ddbc72795dca7cfe84d9a3fc2d3f445e1bc2fdb3e3093f2ca8d39d655 | 2026-01-21T00:00:00-05:00 | Structured linear factor models for tail dependence | arXiv:2507.16340v2 Announce Type: replace Abstract: A common object to describe the extremal dependence of a $d$-variate random vector $X$ is the stable tail dependence function $L$. Various parametric models have emerged, with a popular subclass consisting of those stable tail dependence functions that arise for linea... | https://arxiv.org/abs/2507.16340 | Academic Papers | svg |
58a7cf9ead1667ba744878d771fa23d14d4591e952c87ffcbb342e7f0f6e1b59 | 2026-01-21T00:00:00-05:00 | Analytic Theory on the Space of Blaschke Products: Simultaneous Uniformization and Pressure Metric | arXiv:2507.17077v2 Announce Type: replace Abstract: In this paper, we study complex analytic aspects of the moduli space $\Bcal_d^{fm}$ of degree $d\ge2$ fixed-point-marked Blaschke products. We define a complex structure on $\Bcal_d^{fm}$ and prove the simultaneous uniformization theorem for fixed-point-marked quasi-B... | https://arxiv.org/abs/2507.17077 | Academic Papers | svg |
66345d5c98a58c29eb06be097988d2ec9e16ccc9b763e22baa3a9c077c08d665 | 2026-01-21T00:00:00-05:00 | The norms for symmetric and antisymmetric tensor products of the weighted shift operators | arXiv:2507.17181v2 Announce Type: replace Abstract: In the present paper, we study the norms for symmetric and antisymmetric tensor products of weighted shift operators. By proving that for $n\geq 2$, $$\|S_{\alpha}^{l_1}\odot\cdots \odot S_{\alpha}^{l_k}\odot S_{\alpha}^{*l_{k+1}}\odot\cdots \odot S_{\alpha}^{*l_{n}}\... | https://arxiv.org/abs/2507.17181 | Academic Papers | svg |
d23d8e6c14ecc9049d0a920909001056b7a22ae08111afe3a11582efb943c68f | 2026-01-21T00:00:00-05:00 | Finite generation of abelianizations of the genus 3 Johnson kernel and the commutator subgroup of the Torelli group for $\mathrm{Out}(F_3)$ | arXiv:2507.20710v2 Announce Type: replace Abstract: Let $\Sigma_g^b$ be a compact oriented surface of genus $g$ with $b$ boundary components, where $b\in\{0,1\}$. The Johnson kernel $\mathcal{K}_g^b$ is the subgroup of the mapping class group $\mathrm{Mod}(\Sigma_g^b)$ generated by Dehn twists about separating simple c... | https://arxiv.org/abs/2507.20710 | Academic Papers | svg |
f911429b34d4cc9c64325574c4a67fe8a1738958dcf7784215fb7aaeed516bcf | 2026-01-21T00:00:00-05:00 | On admissibility in post-hoc hypothesis testing | arXiv:2508.00770v3 Announce Type: replace Abstract: The validity of classical hypothesis testing requires the significance level $\alpha$ be fixed before any statistical analysis takes place. This is a stringent requirement. For instance, it prohibits updating $\alpha$ during (or after) an experiment due to changing co... | https://arxiv.org/abs/2508.00770 | Academic Papers | svg |
65584b8015de05ae4b0b61a720e7b9ab56f83bf718451e31c956946d44407796 | 2026-01-21T00:00:00-05:00 | Exceptional dual pair correspondences; case of real groups of split rank one | arXiv:2508.01551v2 Announce Type: replace Abstract: Exceptional real groups have quaternionic forms of split rank 4 that contain dual pairs $G\times G'$, where $G'$ is the split Lie group of the type $G_2$, and $G$ a Lie group of split rank one. In this paper we restrict the minimal representation of the quaternionic g... | https://arxiv.org/abs/2508.01551 | Academic Papers | svg |
db5b4a95f3ab55cadd54930702f2bf359e0fb4932d5268594f5ee9169427089b | 2026-01-21T00:00:00-05:00 | Large AI Models for Wireless Physical Layer | arXiv:2508.02314v2 Announce Type: replace Abstract: Large artificial intelligence models (LAMs) are transforming wireless physical layer technologies through their robust generalization, multitask processing, and multimodal capabilities. This article reviews recent advancements in applying LAMs to physical layer commun... | https://arxiv.org/abs/2508.02314 | Academic Papers | svg |
bf4e6cfd56d482bc575a0cd4de2ca086e10b5e1e95fe788d17e5b94f0c724f53 | 2026-01-21T00:00:00-05:00 | Coordinate-independent model reductions of chemical reaction networks based on geometric singular perturbation theory | arXiv:2508.03304v2 Announce Type: replace Abstract: The quasi-steady-state approximation (QSSA) is a standard technique for reducing the complexity of chemical reaction networks (CRNs). The validity of any QSSA-based model is restricted to specific parameter regimes. Selecting the appropriate reduction is not always st... | https://arxiv.org/abs/2508.03304 | Academic Papers | svg |
085b284e3d2a43b8d490d221e962d932c08b18bee09e55e374aa386d5703a786 | 2026-01-21T00:00:00-05:00 | A dimensional mass transference principle from balls to open sets and applications to dynamical Diophantine approximation | arXiv:2508.03359v2 Announce Type: replace Abstract: The mass transference principle of Beresnevich and Velani is a powerful mechanism for determining the Hausdorff dimension/measure of $\limsup$ sets that arise naturally in Diophantine approximation. However, in the setting of dynamical Diophantine approximation, this ... | https://arxiv.org/abs/2508.03359 | Academic Papers | svg |
62a8892c87fa9795130b1f247d56b7aae2dc6d74252f05f16db4c2658e6b990b | 2026-01-21T00:00:00-05:00 | Computable Bounds for Strong Approximations with Applications | arXiv:2508.03833v2 Announce Type: replace Abstract: The Koml\'os$\unicode{x2013}$Major$\unicode{x2013}$Tusn\'ady (KMT) inequality for partial sums is one of the most celebrated results in probability theory. Yet its practical application has been hindered by a lack of practical constants. This paper addresses this limi... | https://arxiv.org/abs/2508.03833 | Academic Papers | svg |
e9c0004990f7b41f7e02421f9952a47c2ada9cdf1a37ea42ea72ff151d928eea | 2026-01-21T00:00:00-05:00 | Nonparametric Estimation from Correlated Copies of a Drifted Process | arXiv:2508.05259v2 Announce Type: replace Abstract: This paper presents several situations leading to the observation of multiple correlated copies of a drifted process, and then non-asymptotic risk bounds are established on nonparametric estimators of the drift function $b_0$ and its derivative. For drifted Gaussian p... | https://arxiv.org/abs/2508.05259 | Academic Papers | svg |
4765277b8b8673a3aa173b290a927bdb6aee2f584e8868d04ae3c87295412bd5 | 2026-01-21T00:00:00-05:00 | Entropy and polynomial entropy of derived autoequivalences of derived discrete algebras | arXiv:2508.05794v2 Announce Type: replace Abstract: The aim of this paper is to calculate entropy in the sense of Dimitrov-Haiden-Katzarkov-Kontsevich and polynomial entropy as defined by Fan-Fu-Ouchi of derived autoequivalences of derived discrete algebras over an algebraically closed field. | https://arxiv.org/abs/2508.05794 | Academic Papers | svg |
226e0a267def160afbb3ec18dd50d72ca5b5b50747a4288da4ae08bfcb30080a | 2026-01-21T00:00:00-05:00 | Optimum 1-Step Majority-Logic Decoding of Binary Reed-Muller Codes | arXiv:2508.08736v3 Announce Type: replace Abstract: The classical majority-logic decoder proposed by Reed for Reed-Muller codes RM(r, m) of order r and length 2^m, unfolds in r+1 sequential steps, decoding message symbols from highest to lowest degree. Several follow-up decoding algorithms reduced the number of steps, ... | https://arxiv.org/abs/2508.08736 | Academic Papers | svg |
877ba72b881102228e71d6f331f79dfafb2a03bb3496e9fa397240ad4a554bdf | 2026-01-21T00:00:00-05:00 | Tatuzawa's theorem for Rankin-Selberg $L$-functions | arXiv:2508.10844v3 Announce Type: replace Abstract: Let $\pi$ and $\pi'$ be unitary cuspidal automorphic representations of $\mathrm{GL}(n)$ and $\mathrm{GL}(n')$ over a number field $F$. We establish a new zero-free region for all $\mathrm{GL}(1)$-twists of the Rankin-Selberg $L$-function $L(s,\pi\times\pi')$, general... | https://arxiv.org/abs/2508.10844 | Academic Papers | svg |
f1b6b0a4b6c207d192a6a3fbe3a3715be87aabe4d0ea52f701d8910a66be6c19 | 2026-01-21T00:00:00-05:00 | High-Capacity and Low-PAPR BICM-OFDM Systems Using Non-Equiprobable and Non-Uniform Constellation Shaping With Clipping and Filtering | arXiv:2508.15639v2 Announce Type: replace Abstract: We address a design of high-capacity and low-peak-to-average power ratio (PAPR) orthogonal frequency-division multiplexing (OFDM) systems based on bit-interleaved coded modulation (BICM) utilizing non-equiprobable and non-uniform (NENU) constellations as well as clipp... | https://arxiv.org/abs/2508.15639 | Academic Papers | svg |
2d751bf1183dcddd8c0a9622ddaa25c3fe29242bc04313e1d3c65311cd598b91 | 2026-01-21T00:00:00-05:00 | Physics-Informed Kolmogorov-Arnold Networks for multi-material elasticity problems in electronic packaging | arXiv:2508.16999v2 Announce Type: replace Abstract: This paper proposes a Physics-Informed Kolmogorov-Arnold Network for analyzing elasticity problems in multi-material electronic packaging structures. The method replaces traditional Multi-Layer Perceptrons with Kolmogorov-Arnold Networks within an energy-based Physics... | https://arxiv.org/abs/2508.16999 | Academic Papers | svg |
923f18dad3264eaeae808ec2754780f1708a815edbefaef4bdd0b0fbc5176cd1 | 2026-01-21T00:00:00-05:00 | Local Well-Posedness of the Cahn-Hilliard-Biot System | arXiv:2508.17893v2 Announce Type: replace Abstract: We show short-time well-posedness of a diffuse interface model describing the flow of a fluid through a deformable porous medium consisting of two phases. The system non-linearly couples Biot's equations for poroelasticity, including phase-field dependent material pro... | https://arxiv.org/abs/2508.17893 | Academic Papers | svg |
374528e0529f84bf90925742bf59f85dbb7476020da8cb6e4570faedd3e15e27 | 2026-01-21T00:00:00-05:00 | Calogero-Sutherland hyperbolic system and Heckman-Opdam $\mathfrak{gl}_n$ hypergeometric function | arXiv:2508.18864v3 Announce Type: replace Abstract: We prove equivalence of two integral representations for the wave functions of hyperbolic Calogero-Sutherland system. For this we study two families of Baxter operators related to hyperbolic Calogero-Sutherland and rational Ruijsenaars models; the first one as a limit... | https://arxiv.org/abs/2508.18864 | Academic Papers | svg |
2ab5ec1991c07e96f86e89342ec46b6cc1119653b1c72b69a4b43d068a51c8eb | 2026-01-21T00:00:00-05:00 | Asymptotic behavior of the Bergman kernel and associated invariants in weakly pseudoconvex domains | arXiv:2509.00301v3 Announce Type: replace Abstract: In this paper, we present an explicit description for the boundary behavior of the Bergman kernel function, the Bergman metric, and the associated curvatures along certain sequences converging to an $h$-extendible boundary point. | https://arxiv.org/abs/2509.00301 | Academic Papers | svg |
5867cece7e9967a3872786633795fbe0d73ce0ac2746df7e7ee5e5f65e15198e | 2026-01-21T00:00:00-05:00 | Hochschild-Kostant-Rosenberg isomorphism for derived Deligne-Mumford stacks | arXiv:2509.00501v3 Announce Type: replace Abstract: We prove a Hochschild--Konstant--Rosenberg (HKR) theorem for arbitrary derived Deligne--Mumford (DM) stacks, extending the results of Arinkin-C\u{a}ld\u{a}raru-Hablicsek in the smooth, global quotient case, although with different methods. To formulate our result, we ... | https://arxiv.org/abs/2509.00501 | Academic Papers | svg |
97018e32351feb6d6d1ed019fe031643df1ea2908388e169acf3200cfca76948 | 2026-01-21T00:00:00-05:00 | Uniformly S-essential submodules and uniformly S-injective uniformly S-envelopes | arXiv:2509.01638v2 Announce Type: replace Abstract: In this paper, we introduce the notion of uniformly S-essential (u-S-essential) submodules. Let R be a commutative ring and S a multiplicative subset of R. A submodule K of an R-module M is said to be u-S-essential in M if for any submodule L of M, s1(K \cap L) = 0 fo... | https://arxiv.org/abs/2509.01638 | Academic Papers | svg |
030b45c79763eaa988ca16aeb55e37e307989f63840493f1c4664207a02f33a0 | 2026-01-21T00:00:00-05:00 | Uniformly S-projective relative to a module and its dual | arXiv:2509.01646v2 Announce Type: replace Abstract: In this article, we introduce the notion of u-S-projective relative to a module. Let S be a multiplicative subset of a ring R and M an R-module. An R-module P is said to be u-S-projective relative to M if for any u-S-epimorphism f : M \to N, the induced map HomR(P, f)... | https://arxiv.org/abs/2509.01646 | Academic Papers | svg |
f4df9acb0972b4c899cf32dfbe8e4b15caf8c4decedc6819fa0d2bf0662da07a | 2026-01-21T00:00:00-05:00 | On base point freeness for rank one foliations | arXiv:2509.03109v2 Announce Type: replace Abstract: We prove the base point free theorem for log canonical foliated pairs of rank one on a Q-factorial projective klt threefold. Moreover, we show abundance in the case of numerically trivial log canonical foliated pairs of rank one in any dimension. | https://arxiv.org/abs/2509.03109 | Academic Papers | svg |
5052277e606247cd17815b2de2515fe73af955414084a9fd45c9e37806a9e1ed | 2026-01-21T00:00:00-05:00 | Recovery of Sturm-Liouville operators from partial boundary spectral data and applications | arXiv:2509.04289v2 Announce Type: replace Abstract: We study the inverse Sturm-Liouville problem on a finite interval from partial knowledge of spectral data. Specifically, we show that the potential can be uniquely reconstructed from the knowledge of a fraction of Dirichlet eigenvalues together with the normal derivat... | https://arxiv.org/abs/2509.04289 | Academic Papers | svg |
f3a8f29772dc61497639684ab8f3e9495b538efb26a3dc7c00d84fd701700ede | 2026-01-21T00:00:00-05:00 | $\mathbb R^{\omega_1}$-Factorizable Spaces and Groups | arXiv:2509.05105v2 Announce Type: replace Abstract: A topological space $X$ is $\mathbb R^{\omega_1}$-factorizable if any continuous function $f\colon X\to \mathbb R^{\omega_1}$ factors through a continuous function from $X$ to a second-countable space. It is shown that a Tychonoff space $X$ is $\mathbb R^{\omega_1}$-f... | https://arxiv.org/abs/2509.05105 | Academic Papers | svg |
f62c01de4cc0b8b68407da053b6dd340fce9ef6e1b153473febe2e7fc979de1e | 2026-01-21T00:00:00-05:00 | Serrin's overdetermined theorem within Lipschitz domains | arXiv:2509.05155v3 Announce Type: replace Abstract: Let $\Omega\subset\mathbb R^n$ be a Lipschitz domain. We prove that, $\Omega$ satisfies the following Serrin-type overdetermined system $$u \in W^{1,2}(\mathbb R^n), \quad u=0\ \text{ a.e. in }\mathbb R^n\setminus \Omega,\quad \Delta u=\mathbf{c}\mathscr{H}^{n-1}|_{\p... | https://arxiv.org/abs/2509.05155 | Academic Papers | svg |
5cbb5b54da55f06d04a053df013b96068bf872d9c5193834094b61aec0d52147 | 2026-01-21T00:00:00-05:00 | Uniformly S-pseudo-injective modules | arXiv:2509.05843v2 Announce Type: replace Abstract: This paper introduces the notion of uniformly-S-pseudo-injective (u-S-pseudo-injective) modules as a generalization of u-S-injective modules. Let R be a ring and S a multiplicative subset of R. An R-module E is said to be u-S-pseudo-injective if for any submodule K of... | https://arxiv.org/abs/2509.05843 | Academic Papers | svg |
b8f223f47c50c13b8fcddfbf50981889a1b8b6a9a49bc5e898aa0feb018c9719 | 2026-01-21T00:00:00-05:00 | Fujita Phenomenon for Mixed Local--Nonlocal Diffusion Equations | arXiv:2509.07405v3 Announce Type: replace Abstract: We investigate the Cauchy problem for a semilinear parabolic equation driven by a mixed local-nonlocal diffusion operator of the form \[ \partial_t u - (\Delta - (-\Delta)^{\mathsf{s}})u = \mathsf{h}(t)|x|^{-b}|u|^p + t^\varrho \mathbf{w}(x), \qquad (x,t)\in \mathbb{R... | https://arxiv.org/abs/2509.07405 | Academic Papers | svg |
3a41c7737b0fc5c944d2115dd63238be0fd601c10824406c93e19e8c8b03a6cf | 2026-01-21T00:00:00-05:00 | Quasi-optimal time-space discretizations for a class of nonlinear parabolic PDEs | arXiv:2509.08645v2 Announce Type: replace Abstract: We consider parabolic evolution equations with Lipschitz continuous and strongly monotone spatial operators. By introducing an additional variable, we construct an equivalent system where the operator is a Lipschitz continuous mapping from a Hilbert space $Y \times X$... | https://arxiv.org/abs/2509.08645 | Academic Papers | svg |
8f886b46191ab54dae498891dc19d8082d6f9c7bd6302cd27ff82b3b3cba5430 | 2026-01-21T00:00:00-05:00 | 2-Distance Coloring of Planar Graphs with Specific Maximum Degree | arXiv:2509.10861v2 Announce Type: replace Abstract: A k-distance r-coloring of a graph is a coloring of the vertices of the graph such that if the distance between 2 vertices x and y is less or equal to k, then x and y must have distinct colors. A planar graph is a graph that can be drawn with no edge crossing. We will... | https://arxiv.org/abs/2509.10861 | Academic Papers | svg |
abf0eaf857e22cf6f2ad6cae67f54f0f218d57c8dbf733241e2729c9cd3b0932 | 2026-01-21T00:00:00-05:00 | Failure of Lichnerowicz-type result in parabolic geometries of real rank at least $3$ | arXiv:2509.12542v4 Announce Type: replace Abstract: Given a Yamaguchi nonrigid parabolic model geometry $(G,P)$ with $G$ simple of real rank at least $3$, we use techniques developed by Erickson to establish the existence of closed, nonflat, essential, regular, normal Cartan geometries modeled on $(G,P)$. Yamaguchi non... | https://arxiv.org/abs/2509.12542 | Academic Papers | svg |
5e5a7bfd5b5fac40d6a2b3f1ab0e7ac2aa50a521d8060a2b9b3e083d9a1125df | 2026-01-21T00:00:00-05:00 | Learning the Influence Graph of a Markov Process that Randomly Resets to the Past | arXiv:2509.16129v2 Announce Type: replace Abstract: Learning the influence graph G of a high-dimensional Markov process is central to many application domains, including social networks, neuroscience, and financial risk analysis. However, in many of these applications, future states of the process are occasionally and ... | https://arxiv.org/abs/2509.16129 | Academic Papers | svg |
b64dcee1ba5147fd6b080ee77786a19ab8fb76b8e54441b259bc782054aabcba | 2026-01-21T00:00:00-05:00 | Perfect Divisibility and Coloring of Some Bull-Free Graphs | arXiv:2509.18856v3 Announce Type: replace Abstract: A graph $G$ is {\em perfectly divisible} if, for each induced subgraph $H$ of $G$, $V(H)$ can be partitioned into $A$ and $B$ such that $H[A]$ is perfect and $\omega(H[B])<\omega(H)$. A {\em bull} is a graph consisting of a triangle with two disjoint pendant edges, a ... | https://arxiv.org/abs/2509.18856 | Academic Papers | svg |
fcb73d9f33808becf1c26b78c9a65f48670f7d42c631832c1e4ee61887c17f66 | 2026-01-21T00:00:00-05:00 | A nonlocal Aw-Rascle-Zhang system with linear pressure term | arXiv:2509.20973v2 Announce Type: replace Abstract: In this paper, we study a nonlocal extension of the Aw-Rascle-Zhang traffic model, where the pressure-like term is modeled as a convolution between vehicle density and a kernel function. This formulation captures nonlocal driver interactions and aligns structurally wi... | https://arxiv.org/abs/2509.20973 | Academic Papers | svg |
33cde6b8037f33b1ffc0b0dce4256f1c36aa155be0cb4b7cdd0b52549eaa14f3 | 2026-01-21T00:00:00-05:00 | Motivic Classes of Isotropic Degeneracy Loci and Symmetric Orbit Closures | arXiv:2509.24348v2 Announce Type: replace Abstract: We provide explicit formulas for computing the motivic Chern and Hirzebruch classes of degeneracy loci, especially those coming from the symplectic and odd orthogonal Grassmannians. The Chern--Schwartz--MacPherson classes, K-theory classes, and Cappell--Shaneson L-cla... | https://arxiv.org/abs/2509.24348 | Academic Papers | svg |
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