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cdbe84e2046817908027d7006949e820abbb0e9a10055b92f3ac9f8a1fa3889f | 2026-01-01T00:00:00-05:00 | Quasi-spherical metrics and the static Minkowski inequality | arXiv:2403.06216v3 Announce Type: replace Abstract: We prove that equality within the Minkowski inequality for asymptotically flat static manifolds is achieved only by slices of Schwarzschild space. | https://arxiv.org/abs/2403.06216 | Academic Papers | svg |
5b98800765bf034cfac885475ff01878615d82c1ce276d9edf01d7f2d0ad1d4f | 2026-01-01T00:00:00-05:00 | Centrality of star and monotone factorisations | arXiv:2403.08354v2 Announce Type: replace Abstract: A factorisation problem in the symmetric group is central if conjugate permutations always have the same number of factorisations. We give the first fully combinatorial proof of the centrality of transitive star factorisations that is valid in all genera, which answer... | https://arxiv.org/abs/2403.08354 | Academic Papers | svg |
42e8ba80d53048b63d035c5d9b983e6e74d35ff6ce3c2e52eef131fbb3942a20 | 2026-01-01T00:00:00-05:00 | On the temporal estimates for the incompressible Navier-Stokes equations and the Hall-magnetohydrodynamic equations | arXiv:2404.16290v2 Announce Type: replace Abstract: In this paper, we derive decay rates for solutions to the incompressible Navier-Stokes equations and Hall-magnetohydrodynamic equations. We first improve the decay rate of weak solutions to these equations by refining the Fourier splitting method with initial data in ... | https://arxiv.org/abs/2404.16290 | Academic Papers | svg |
aa8341715a960255876b60c48eb028dec90fb4a00b90be8bde5b51d2899b1874 | 2026-01-01T00:00:00-05:00 | Constrained-degree percolation on the hypercubic lattice: uniqueness and some of its consequences | arXiv:2405.09343v3 Announce Type: replace Abstract: We consider the constrained-degree percolation (CDP) model on the hypercubic lattice. This is a continuous-time percolation model defined by a sequence $(U_e)_{e\in\mathcal{E}^d}$ of i.i.d. uniform random variables and a positive integer $k$, referred to as the constr... | https://arxiv.org/abs/2405.09343 | Academic Papers | svg |
72853cad0a0f27140ecfbfa81130c2bc28c7b365b74766f1c31a66edfe12bdf5 | 2026-01-01T00:00:00-05:00 | On the Stieltjes Approximation Error to Logarithmic Integral | arXiv:2406.12152v2 Announce Type: replace Abstract: We study the approximation error $\varepsilon(x)=\operatorname{li}_{*}(x)-\operatorname{li}(x)$ arising from the classical Stieltjes asymptotic expansion for the logarithmic integral. Our analysis is based on the discrete values $\varepsilon_k=\varepsilon(e^{k})$ and ... | https://arxiv.org/abs/2406.12152 | Academic Papers | svg |
da7ffb21524d41c63b0c60dda0372c5d1d78c8931a914ad3619ed1e841f434bf | 2026-01-01T00:00:00-05:00 | Analyzing Dynamical Systems Inspired by Montgomery's Conjecture: Insights into Zeta Function Zeros and Chaos in Number Theory | arXiv:2406.12852v2 Announce Type: replace Abstract: In this study, we analyze a novel dynamical system inspired by Montgomery's pair correlation conjecture, modeling the spacings between nontrivial zeros of the Riemann zeta function via the GUE kernel $g(u) = 1 - \left( \frac{\sin(\pi u)}{\pi u} \right)^2 + \delta(u)$.... | https://arxiv.org/abs/2406.12852 | Academic Papers | svg |
eea6ec85d44c3101b4f7396b0adba30f6d9f7140337ba4cd31298e6516976cee | 2026-01-01T00:00:00-05:00 | Approximate Controllability of Linear Fractional Impulsive Evolution Equations in Hilbert Spaces | arXiv:2406.15114v3 Announce Type: replace Abstract: This paper investigates the approximate controllability of linear fractional impulsive evolution equations in Hilbert spaces. The system under consideration involves the Caputo fractional derivative of order $0<\alpha\leq 1$, a closed linear operator generating a stro... | https://arxiv.org/abs/2406.15114 | Academic Papers | svg |
6cbf9dc7cb32eeef6f119207d9fbc150c31f77e2e4685a5e0c29620c76536746 | 2026-01-01T00:00:00-05:00 | The multiplicity of the ground state of a generalized particle system interacting with a massless Bose field | arXiv:2407.13462v3 Announce Type: replace Abstract: A generalized particle system interacting with a massless Bose field is investigated. We assume regularity conditions for the commutation relations of the interaction and annihilation operators. It is proven that if the ground state exists, its multiplicity is finite. | https://arxiv.org/abs/2407.13462 | Academic Papers | svg |
8de0ab634c02a709c45439ebb2eca2fd164286c9f291a395e8f0ad74ca7a1641 | 2026-01-01T00:00:00-05:00 | Pseudodifferential damping estimates and stability of relaxation shocks | arXiv:2407.14484v3 Announce Type: replace Abstract: A bottleneck in the theory of large-amplitude and multi-d viscous and relaxation shock stability is the development of nonlinear damping estimates controlling higher by lower derivatives. These have traditionally proceeded from time-evolution bounds based on Friedrich... | https://arxiv.org/abs/2407.14484 | Academic Papers | svg |
e5e063fbe90f4309fe79c60c11239349393502ac007813e8c2c04aa57d3f3728 | 2026-01-01T00:00:00-05:00 | Simple Models of Randomization and Preservation Theorems | arXiv:2408.15014v2 Announce Type: replace Abstract: The main purpose of this paper is to present a new and more uniform model-theoretic/combinatorial proof of the theorem ([5]): The randomization $T^{R}$ of a complete first-order theory $T$ with $NIP$ is a (complete) first-order continuous theory with $NIP$. The proof ... | https://arxiv.org/abs/2408.15014 | Academic Papers | svg |
d39ada98c19784aad84e303da39ecf723675a8daada0bc27b926a82dfdd1d8e2 | 2026-01-01T00:00:00-05:00 | $\mathcal{C}$-Hereditarily conjugacy separable groups and wreath products | arXiv:2409.06200v2 Announce Type: replace Abstract: We provide a necessary and sufficient condition for the restricted wreath product $A\wr B$ to be $\mathcal{C}$-hereditarily conjugacy separable where $\mathcal{C}$ is an extension-closed pseudovariety of finite groups. Moreover, we prove that the Grigorchuk group is 2... | https://arxiv.org/abs/2409.06200 | Academic Papers | svg |
1efc371da6548ea37d30d723ac889653f953c24def7edcac6ff388ec675e92bc | 2026-01-01T00:00:00-05:00 | Expander estimates for cubes | arXiv:2409.16795v2 Announce Type: replace Abstract: If $\mathscr A$ is a set of natural numbers of exponential density $\delta$, then the exponential density of all numbers of the form $x^3+a$ with $x\in\mathbb N$ and $a\in\mathscr A$ is at least $\min(1, \frac 13+\frac 56 \delta)$. This is a considerable improvement o... | https://arxiv.org/abs/2409.16795 | Academic Papers | svg |
2adb0ca1bdd6ce994d39a5e16fd8b13078deba213504e754b376273e40bf4f8f | 2026-01-01T00:00:00-05:00 | Functional Extreme-PLS | arXiv:2410.05517v2 Announce Type: replace Abstract: We propose an extreme dimension reduction method extending the Extreme-PLS approach to the case where the covariate lies in a possibly infinite-dimensional Hilbert space. The ideas are partly borrowed from both Partial Least-Squares and Sliced Inverse Regression techn... | https://arxiv.org/abs/2410.05517 | Academic Papers | svg |
ba75fadbe7d6b1b5cc5d6acd1bf3177090431ca70a86c69e7228e3acb2c711df | 2026-01-01T00:00:00-05:00 | Fej\'er* monotonicity in optimization algorithms | arXiv:2410.08331v2 Announce Type: replace Abstract: Fej\'er monotonicity is a well-established property often observed in sequences generated by optimization algorithms. In this paper, we study an extension of this property, called Fej\'er* monotonicity, which was initially proposed in [SIAM J. Optim., 34(3), 2535-2556... | https://arxiv.org/abs/2410.08331 | Academic Papers | svg |
89a0f5070a2bd22ddbf471d5b65746295898f505e3708e9982f2149dab23bdec | 2026-01-01T00:00:00-05:00 | Witten genera of complete intersections | arXiv:2410.21412v2 Announce Type: replace Abstract: We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous $\text{Spin}^c$-manifolds and in other $\text{Spin}^c$-manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal... | https://arxiv.org/abs/2410.21412 | Academic Papers | svg |
3021eb28abae2894af40207eb08506b86feb778ef8078a4613ecccfaae2c80bf | 2026-01-01T00:00:00-05:00 | On the geography of log-surfaces | arXiv:2412.14635v2 Announce Type: replace Abstract: This survey focuses on the geometric problem of log-surfaces, which are pairs consisting of a smooth projective surface and a reduced non-empty boundary divisor. In the first part, we focus on the geography problem for complex log-surfaces associated with pairs of the... | https://arxiv.org/abs/2412.14635 | Academic Papers | svg |
bffa34ecb9cde87ab1a75b279df639abb424e056ff5db5db333a7c14c39925e4 | 2026-01-01T00:00:00-05:00 | Maximizing Satisfied Vertex Requests in List Coloring | arXiv:2412.15927v3 Announce Type: replace Abstract: Suppose $G$ is a graph and $L$ is a list assignment for $G$. A request of $L$ is a function $r$ with nonempty domain $D\subseteq V(G)$ such that $r(v) \in L(v)$ for each $v \in D$. The triple $(G,L,r)$ is $\epsilon$-satisfiable if there exists a proper $L$-coloring $f... | https://arxiv.org/abs/2412.15927 | Academic Papers | svg |
fec50c1ec978fc998fafa92dcf7b6d7553e00b802b0f0b2a5f6af0c3b6b6c51d | 2026-01-01T00:00:00-05:00 | Diophantine Graphs | arXiv:2501.00640v2 Announce Type: replace Abstract: This manuscript introduces Diophantine labeling, a new way of labeling of the vertices for finite simple undirected graphs with some divisibility condition on the edges. Maximal graphs admitting Diophantine labeling are investigated and their number of edges are compu... | https://arxiv.org/abs/2501.00640 | Academic Papers | svg |
fad6d3d0f2040e8505907ba65752d32561bd6eed9c43ff5b64b003d74c1a9790 | 2026-01-01T00:00:00-05:00 | Mean Field Backward Stochastic Differential Equations with Double Mean Reflections | arXiv:2501.10939v3 Announce Type: replace Abstract: In this paper, we analyze the mean field backward stochastic differential equations (MFBSDEs) with double mean reflections, whose generator and constraints both depend on the distribution of the solution. When the generator is Lipschitz continuous, based on the backwa... | https://arxiv.org/abs/2501.10939 | Academic Papers | svg |
b95811cb0319c0091fb61c2948bdfc680e2e89a891074db3c30b3d6607126223 | 2026-01-01T00:00:00-05:00 | Emergent transfinite topological dynamics | arXiv:2501.14963v3 Announce Type: replace Abstract: In a sequence $S=\{(X,f_n)\}_{n\in\mathbb{N}}$ of dynamical systems sharing a common ambient space, the point $f^k_n(x)$ visited by a certain $x\in X$ depends on the iteration order $k$ and on the index $n$ specifying the system in $S$. If the sequence of maps $\{f_n\... | https://arxiv.org/abs/2501.14963 | Academic Papers | svg |
73f7416de11a3aecb0e84cb61b6e10de6b2c9a9b01ff77a760fe0ee5fc2504db | 2026-01-01T00:00:00-05:00 | A Gauge Set Framework for Flexible Robustness Design | arXiv:2501.14989v3 Announce Type: replace Abstract: This paper proposes a unified framework for designing robustness in optimization under uncertainty using gauge sets, convex sets that generalize distance and capture how distributions may deviate from a nominal reference. Representing robustness through a gauge set re... | https://arxiv.org/abs/2501.14989 | Academic Papers | svg |
0bfa627e9f54520624146d3dac43fa85ce4b15717af264a654d9720bf3773ed7 | 2026-01-01T00:00:00-05:00 | Sample complexity and weak limits of nonsmooth multimarginal Schr\"{o}dinger system with application to optimal transport barycenter | arXiv:2502.02726v2 Announce Type: replace Abstract: Multimarginal optimal transport (MOT) has emerged as a useful framework for many applied problems. However, compared to the well-studied classical two-marginal optimal transport theory, analysis of MOT is far more challenging and remains much less developed. In this p... | https://arxiv.org/abs/2502.02726 | Academic Papers | svg |
c60a42a7411171591a18d79f857f5fd0a869327d4f5b3d4ebd668667b4f5865d | 2026-01-01T00:00:00-05:00 | A formalization of Borel determinacy in Lean | arXiv:2502.03432v3 Announce Type: replace Abstract: We present a formalization of Borel determinacy in the Lean 4 theorem prover. The formalization includes a definition of Gale-Stewart games and a proof of Martin's theorem stating that Borel games are determined. The proof closely follows Martin's "A purely inductive ... | https://arxiv.org/abs/2502.03432 | Academic Papers | svg |
37cff529e6b17c74ef5a182a9557a0c5d9acb976ae71323d36c2d17e9b686b52 | 2026-01-01T00:00:00-05:00 | Algebraic independence of the solutions of the classical Lotka-Volterra system | arXiv:2502.17194v2 Announce Type: replace Abstract: Let $(x_1,y_1),\ldots,(x_n,y_n)$ be distinct non-constant and non-degenerate solutions of the classical Lotka-Volterra system \begin{equation}\notag \begin{split} x'&= axy + bx\\ y'&= cxy + dy, \end{split} \end{equation} where $a,b,c,d\in\mathbb{C}\setminus\{0\}$. We ... | https://arxiv.org/abs/2502.17194 | Academic Papers | svg |
67347123f71ee19556e37291c43fe5b4b6865e8529929d3564364917f03629eb | 2026-01-01T00:00:00-05:00 | Relationship between haptotaxis and chemotaxis in cell dynamics | arXiv:2503.00280v2 Announce Type: replace Abstract: The phenomenon where cells with elongated protrusions, such as neurons, communicate by contacting other cells and arrange themselves appropriately is termed cell sorting through haptotaxis. This phenomenon is described by partial differential equations involving nonlo... | https://arxiv.org/abs/2503.00280 | Academic Papers | svg |
e15349d9a6360ac5ab21694f4819df0a2700d7ef1a0ebbf82632de4330818cb9 | 2026-01-01T00:00:00-05:00 | Partition functions of determinantal point processes on polarized K\"ahler manifolds | arXiv:2503.01524v5 Announce Type: replace Abstract: In this paper, we study the full asymptotic expansion of the partition functions of determinantal point processes defined on a polarized K\"ahler manifold. We show that the coefficients of the expansion are given by geometric functionals on K\"ahler metrics satisfying... | https://arxiv.org/abs/2503.01524 | Academic Papers | svg |
956f0175d736735d535955fcda03948cf74b1cfb4f264ea099e0cfc58e672667 | 2026-01-01T00:00:00-05:00 | Constrained Reinforcement Learning for the Dynamic Inventory Routing Problem under Stochastic Supply and Demand | arXiv:2503.05276v2 Announce Type: replace Abstract: Green hydrogen has multiple use cases and is produced from renewable energy, such as solar or wind energy. It can be stored in large quantities, decoupling renewable energy generation from its use, and is therefore considered essential for achieving a climate-neutral ... | https://arxiv.org/abs/2503.05276 | Academic Papers | svg |
58a32ac691e1a07bc76df768f64166f0362d5d41d47c7a3c3fceccd7447c84d8 | 2026-01-01T00:00:00-05:00 | Reachability for multiagent control systems via Lyapunov functions | arXiv:2503.09179v2 Announce Type: replace Abstract: This paper concerns the problem of reachability of a given state for a multiagent control system in $\mathbb{R}^d$. In such a system, at every time each agent can choose his/her velocity which depends both on his/her position and on the position of the whole crowd of ... | https://arxiv.org/abs/2503.09179 | Academic Papers | svg |
315b2183a7736e6c17b2c8e9365e21e851c883deea5cfaa0a2e352337a9b2b96 | 2026-01-01T00:00:00-05:00 | Representation Theorems for Convex Expectations and Semigroups on Path Space | arXiv:2503.10572v2 Announce Type: replace Abstract: The objective of this paper is to investigate the connection between penalty functions from stochastic optimal control, convex semigroups from analysis and convex expectations from probability theory. Our main result provides a one-to-one relation between these object... | https://arxiv.org/abs/2503.10572 | Academic Papers | svg |
6b4cf0b97b8540ef05e77d3f68f7d1c66581b0952114dc2f08fd99ec9bc4f6dd | 2026-01-01T00:00:00-05:00 | Symmetric square type $L$-series | arXiv:2504.00972v2 Announce Type: replace Abstract: We construct symmetric square type $L$-series for vector-valued modular forms transforming under the Weil representation associated to a discriminant form. We study Hecke operators and integral representations to investigate their properties, deriving functional equat... | https://arxiv.org/abs/2504.00972 | Academic Papers | svg |
cc1d61050e94d0bf9d023895e9a73464bae50604d85b2c61e3f628f84f2777d5 | 2026-01-01T00:00:00-05:00 | Arbitrary orientations of cycles in oriented graphs | arXiv:2504.09794v2 Announce Type: replace Abstract: We show that every sufficiently large oriented graph $G$ with minimum indegree and outdegree both at least $(3|V(G)|-1)/8$ contains every orientation of a Hamilton cycle. This result improves the approximate bound established by Kelly and resolves a long-standing prob... | https://arxiv.org/abs/2504.09794 | Academic Papers | svg |
5c4d6bc7457b89cdc8c058ce5d7c504bd90bde109bbec90ba4df69552a27c467 | 2026-01-01T00:00:00-05:00 | Coniveau filtrations with Z/2 coefficients | arXiv:2504.19388v2 Announce Type: replace Abstract: We show that two coniveau filtrations on the mod 2 cohomology group of a smooth projective complex variety differ. | https://arxiv.org/abs/2504.19388 | Academic Papers | svg |
f667822523fb1a9091cb43d777a8e6dd70560b9a6dc04b98982086640e23c014 | 2026-01-01T00:00:00-05:00 | Sobolev and quasiconformal distortion of intermediate dimension with applications to conformal dimension | arXiv:2505.10525v4 Announce Type: replace Abstract: We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring--V\"ais\"al\"a theorem on dilatat... | https://arxiv.org/abs/2505.10525 | Academic Papers | svg |
db04dd031590a5254f9395121f8d4b0f90f6e709fbe73f76d3e1ff0c13e9a841 | 2026-01-01T00:00:00-05:00 | Consistent line clustering using geometric hypergraphs | arXiv:2505.24868v2 Announce Type: replace Abstract: Many datasets are naturally modeled as graphs, where vertices denote entities and edges encode pairwise interactions. However, some problems exhibit higher-order structure that lies beyond this framework. Among the simplest examples is line clustering, in which points... | https://arxiv.org/abs/2505.24868 | Academic Papers | svg |
98b695b8160decac31fc21ee1ac2de7d691d8ddb8dbdf221da11979a67eb0860 | 2026-01-01T00:00:00-05:00 | Graph quandles: Generalized Cayley graphs of racks and right quasigroups | arXiv:2506.04437v3 Announce Type: replace Abstract: We solve two open problems of Valeriy Bardakov about Cayley graphs of racks and graph-theoretic realizations of right quasigroups. We also extend Didier Caucal's classification of labeled Cayley digraphs to right quasigroups and related algebraic structures like quand... | https://arxiv.org/abs/2506.04437 | Academic Papers | svg |
6c54e504f234b176b14e33d8ca41d7b1c76bee160e876ea7c6558c5cb36715b7 | 2026-01-01T00:00:00-05:00 | On solutions to Hardy-Sobolev equations on Riemannian manifolds | arXiv:2506.20089v2 Announce Type: replace Abstract: Let $(M,g)$ be a closed Riemannian manifold of dimension at least $3$. Let $S$ be the union of the focal submanifolds of an isoparametric function on $(M,g)$. In this article we address the existence of solutions of the Hardy-Sobolev type equation $\Delta_g u+K(x)u=\f... | https://arxiv.org/abs/2506.20089 | Academic Papers | svg |
541a4f781b398143ce1543689f3942eaba098ea3fe0494802af2316da4a44d36 | 2026-01-01T00:00:00-05:00 | On pre-local tabularity above $\mathrm{S4}\times \mathrm{S4}$ | arXiv:2506.20874v2 Announce Type: replace Abstract: We investigate pre-local tabularity in normal extensions of the logic $\mathrm{S4}\times \mathrm{S4}$. We show that there are exactly four pre-locally tabular logics in normal extensions of products of finite height, and that every non-locally tabular logic in this fa... | https://arxiv.org/abs/2506.20874 | Academic Papers | svg |
5494be9847e527a8cc90736eaeaf9d777d9330341164213b6190076cb597fd64 | 2026-01-01T00:00:00-05:00 | On the zero sets of harmonic polynomials | arXiv:2506.24116v4 Announce Type: replace Abstract: In this paper we consider nonzero harmonic functions vanishing on some subsets of $\mathbb R^n$. We give a positive solution to Problem 151 from the Scottish Book posed by R. Wavre in 1936. In more detail, we construct a nonzero harmonic polynomial that vanishes on th... | https://arxiv.org/abs/2506.24116 | Academic Papers | svg |
61bcac495db8f9dc13e124580f08ffe0e008ec391fe598f47e4eb46e5af01327 | 2026-01-01T00:00:00-05:00 | Complete classification of the Dehn functions of Bestvina-Brady groups | arXiv:2507.07566v2 Announce Type: replace Abstract: We prove that the Dehn function of every finitely presented Bestvina-Brady group grows as a linear, quadratic, cubic, or quartic polynomial. In fact, we provide explicit criteria on the defining graph to determine the degree of this polynomial. As a consequence, we id... | https://arxiv.org/abs/2507.07566 | Academic Papers | svg |
5130ef8cd0fa7d171784a39c730aaac8d9edb2394ecbba01a7e1ad3c9728f97a | 2026-01-01T00:00:00-05:00 | Generalized Symmetries From Fusion Actions | arXiv:2508.13063v3 Announce Type: replace Abstract: Let $A$ be a condensable algebra in a modular tensor category $\mathcal{C}$. We define an action of the fusion category $\mathcal{C}_A$ of $A$-modules in $\mathcal{C}$ on the morphism space $\mbox{Hom}_{\mathcal{C}}(x,A)$ for any $x$ in $\mathcal{C}$, whose characters... | https://arxiv.org/abs/2508.13063 | Academic Papers | svg |
3bbf5639c26b0153fe4af057500a3353c97c2ac93640f3e69f44f4b64be983e9 | 2026-01-01T00:00:00-05:00 | Non-vanishing of Poincar\'e Series on Average | arXiv:2508.17242v2 Announce Type: replace Abstract: We study when Poincar\'e series for congruence subgroups do not vanish identically. We show that almost all Poincar\'e series with suitable parameters do not vanish when either the weight $k$ or the index $m$ varies in a dyadic interval. Crucially, analyzing the probl... | https://arxiv.org/abs/2508.17242 | Academic Papers | svg |
30c7de723d8839a40450d89b7342e216895e9178cb87be901fa42c685233aa98 | 2026-01-01T00:00:00-05:00 | Sharp bilinear eigenfunction estimate, $L^\infty_{x_2}L^p_{t,x_1}$-type Strichartz estimate, and energy-critical NLS | arXiv:2509.09565v3 Announce Type: replace Abstract: We establish sharp bilinear eigenfunction estimates for the Laplace-Beltrami operator on the standard three-sphere $\mathbb{S}^3$, eliminating the logarithmic loss that has persisted in the literature since the pioneering work of Burq, G\'erard, and Tzvetkov over twen... | https://arxiv.org/abs/2509.09565 | Academic Papers | svg |
62c25ee4ded71e3befcafa5a5f60f7234a21b07151a76301895fb6bcfb0a68bf | 2026-01-01T00:00:00-05:00 | Generic Frameworks for Distributed Functional Optimization and Learning over Time-Varying Networks | arXiv:2509.17554v2 Announce Type: replace Abstract: In this paper, we establish a distributed functional optimization (DFO) theory over time-varying networks. The vast majority of existing distributed optimization theories are developed based on Euclidean decision variables. However, for many scenarios in machine learn... | https://arxiv.org/abs/2509.17554 | Academic Papers | svg |
604f5219b061ed17ba494f10e4899cdf84a22c756e690dbebf8b29293af88d92 | 2026-01-01T00:00:00-05:00 | A geometric perspective on the inextensible flows and energy of curves in 4-dimensional pseudo-Galilean space | arXiv:2509.24036v2 Announce Type: replace Abstract: In this study, inextensible flows of curves in four-dimensional pseudo-Galilean space are expressed, and the necessary and sufficient conditions of these curve flows are given as partial differential equations. Also, the directional derivatives are defined in accordan... | https://arxiv.org/abs/2509.24036 | Academic Papers | svg |
927be103e241e4392d6aab9208a5df75f153c1d0527b4d3639df5dd1616ac0d5 | 2026-01-01T00:00:00-05:00 | Homogeneity | arXiv:2509.25227v2 Announce Type: replace Abstract: The four types of homogeneity -- additive, multiplicative, exponential, and logarithmic -- are generalized as transformations describing how a function $f$ changes under scaling or shifting of its arguments. These generalized homogeneity functions capture different sc... | https://arxiv.org/abs/2509.25227 | Academic Papers | svg |
cb1f0a77338542574d739cc7e98ab1d46424dbeb9123905cbb0fee0478168043 | 2026-01-01T00:00:00-05:00 | Non-Attainment of Minima in Non-Polyhedral Conic Optimization: A Robust SOCP Example | arXiv:2510.00318v2 Announce Type: replace Abstract: A fundamental theorem of linear programming states that a feasible linear program is solvable if and only if its objective function is copositive with respect to the recession cone of its feasible set. This paper demonstrates that this crucial guarantee does not exten... | https://arxiv.org/abs/2510.00318 | Academic Papers | svg |
413ff94b2c4c269c6a0ea5477a6f31ec07ade104b8dd7c7c2c9d5af37dd09444 | 2026-01-01T00:00:00-05:00 | Hausdorff dimension and quasisymmetric minimality of homogeneous Moran sets | arXiv:2510.00540v2 Announce Type: replace Abstract: In this paper, we study the quasisymmetric Hausdorff minimality of homogeneous Moran sets. First, we obtain the Hausdorff dimension formula of two classes of homogeneous Moran sets which satisfy some conditions. Second, we show two special classes of homogeneous Moran... | https://arxiv.org/abs/2510.00540 | Academic Papers | svg |
76be4f73385b9de9385d85e0863a976dcbad0a3e898497911aa738a2be583557 | 2026-01-01T00:00:00-05:00 | Robustified Gaussian quasi-likelihood inference for volatility | arXiv:2510.02666v3 Announce Type: replace Abstract: We consider statistical inference for a class of continuous semimartingale regression models based on high-frequency observations subject to contamination by finite-activity jumps and spike noise. By employing density-power weighting and H\"{o}lder-inequality-based no... | https://arxiv.org/abs/2510.02666 | Academic Papers | svg |
398e35d1ae87d793791f091e946f22fc265aff0197fc1ef7257e12648df36c79 | 2026-01-01T00:00:00-05:00 | Concentration of the hypergraph's weak independence number | arXiv:2510.15117v2 Announce Type: replace Abstract: In this note we generalize the results of the recent work by Tom Bohman and Jacob Hofstad on the independence number in G(n, p) to the case of the random k-uniform hypergraph. Concentration in two values occurs in the regime $p>n^{-(k-1)k/(k+1)+\varepsilon}$. | https://arxiv.org/abs/2510.15117 | Academic Papers | svg |
e297ea78b3ee30a1d2b0507cf943891d768b0aa36b9d2097bbc0ceff7537a7ec | 2026-01-01T00:00:00-05:00 | Nonradial Quenching Profile for a MEMS Model | arXiv:2510.15246v2 Announce Type: replace Abstract: We construct a quenching solution to the parabolic MEMS model \[ u_t = \Delta u - \frac{1}{u^2} \quad \text{in } \mathcal{B} \times (0,T), \quad u|_{\partial \mathcal{B}} = 1, \] where $\mathcal{B}$ is the unit disc in $\mathbb{R}^2$, and $T > 0$ denotes the quenching... | https://arxiv.org/abs/2510.15246 | Academic Papers | svg |
303927e031a5ecdcc0f7075e3153df202b70183944eb78d8703a323ac32f7d70 | 2026-01-01T00:00:00-05:00 | On Type I blowup and $\varepsilon$-regularity criteria of suitable weak solutions to the 3D incompressible MHD equations | arXiv:2510.25448v2 Announce Type: replace Abstract: We study interior $\varepsilon$-regularity and Type I blowup criteria for suitable weak solutions to the three-dimensional incompressible MHD equations. Our starting point is a direct iteration scheme for the classical Caffarelli--Kohn--Nirenberg scaled energy quantit... | https://arxiv.org/abs/2510.25448 | Academic Papers | svg |
a07c761bd3e1bf3755103c329bbb5295f2f87719c372680942ced2ec1c662d9e | 2026-01-01T00:00:00-05:00 | Exponential Stability of a Degenerate Euler-Bernoulli Beam with Axial Force and Delayed Boundary Control | arXiv:2510.25484v2 Announce Type: replace Abstract: This work investigates the global exponential stabilization of a degenerate Euler-Bernoulli beam subjected to a non uniform axial force and a delayed feedback control. First, we establish the well-posedness of the system by constructing an appropriate energy space in ... | https://arxiv.org/abs/2510.25484 | Academic Papers | svg |
975ba2bfcd3f9e9d0f79dcdef9b7d28873cde580d8118e1335045b492c4240aa | 2026-01-01T00:00:00-05:00 | Quenched coalescent for diploid population models with selfing and overlapping generations | arXiv:2510.26115v2 Announce Type: replace Abstract: We introduce a general diploid population model with self-fertilization and possible overlapping generations, and study the genealogy of a sample of $n$ genes as the population size $N$ tends to infinity. Unlike traditional approach in coalescent theory which consider... | https://arxiv.org/abs/2510.26115 | Academic Papers | svg |
a6d4303030fd68ee219dd21d77ddb63682465c27c099f6ef994247b55c635c8e | 2026-01-01T00:00:00-05:00 | Polynomial Approximation in Higher-Order Weighted Dirichlet Spaces | arXiv:2510.26133v2 Announce Type: replace Abstract: Fej\'er's theorem guarantees norm convergence of Ces\`aro means of Taylor partial sums in the Hardy space, whereas such convergence generally fails in weighted Dirichlet-type spaces, especially in the higher-order setting. In this paper, we investigate summability pro... | https://arxiv.org/abs/2510.26133 | Academic Papers | svg |
26394e623078f72a2c58b757a6576166be7f986a0ebd6333a13a81238e7d3bd4 | 2026-01-01T00:00:00-05:00 | A Group with Exactly One Noncommutator | arXiv:2511.00541v2 Announce Type: replace Abstract: The question of whether there exists a finite group of order at least three in which every element except one is a commutator has remained unresolved in group theory. In this article, we address this open problem by developing an algorithmic approach that leverages se... | https://arxiv.org/abs/2511.00541 | Academic Papers | svg |
18f1eb1b67ba1ab4e5517576b8dbef10fa7c8cd254463508798f366382897a9a | 2026-01-01T00:00:00-05:00 | New Algebraic Points on Curves | arXiv:2511.15635v2 Announce Type: replace Abstract: Let $C$ be a smooth projective absolutely irreducible curve of genus at least 2, defined over the rationals. For a number field $L$, we define the set of $L$-new points on $C$ to be $C(L)_{new} = \{P \in C(L) : \mathbb{Q}(P)=L\}$; this is the set of points on $C$ defi... | https://arxiv.org/abs/2511.15635 | Academic Papers | svg |
7c2ae2be3cf0e8f441703bf1096244b2c7e693167f95bf9e2fc9b981d2cc3ec4 | 2026-01-01T00:00:00-05:00 | Classical localization problem: a survey | arXiv:2511.18216v2 Announce Type: replace Abstract: We survey classical localization problems arising from quantum network models in symmetry class C and their mappings to history-dependent random walks on directed lattices. We describe how localization versus delocalization of trajectories can be analysed using percol... | https://arxiv.org/abs/2511.18216 | Academic Papers | svg |
422f77bcebb482b81e4a6d32a8f53184b944e72ab469284ae9a2974474b5e996 | 2026-01-01T00:00:00-05:00 | Local Laws and Fluctuations for Super-Coulombic Riesz Gases | arXiv:2511.18623v2 Announce Type: replace Abstract: We study the local statistical behavior of the super-Coulombic Riesz gas of particles in Euclidean space of arbitrary dimension, with inverse power distance repulsion integrable near $0$, and with a general confinement potential, in a certain regime of inverse tempera... | https://arxiv.org/abs/2511.18623 | Academic Papers | svg |
94f5c5340e422ee30478343b591081a9d8e7c96f608c0845b65d3d4f99f51655 | 2026-01-01T00:00:00-05:00 | Generalized Latin Square Graphs of Semigroups: A Counting Framework for Regularity and Spectra | arXiv:2511.23190v2 Announce Type: replace Abstract: We introduce the \emph{Generalized Latin Square Graph} $\Gamma(S)$ of a finite semigroup $S$. Since we record global factorization multiplicities and local alternative counts, we define three counting invariants $N_S,N_R,N_C$. This gives that we have a simple degree f... | https://arxiv.org/abs/2511.23190 | Academic Papers | svg |
3dbf7c7b9037073ffb3513b609ddcf90bbaa15ad43462ea3f41469060eda10b9 | 2026-01-01T00:00:00-05:00 | Avoidance of non-strict saddle points by blow-up | arXiv:2511.23268v2 Announce Type: replace Abstract: It is an old idea to use gradient flows or time-discretized variants thereof as methods for solving minimization problems. In some applications, for example in machine learning contexts, it is important to know that for generic initial data, gradient flow trajectories... | https://arxiv.org/abs/2511.23268 | Academic Papers | svg |
40854c9ffbf85f39656ad165d31e87a1fd5d1fd3cd870deba67a76d6e3c03314 | 2026-01-01T00:00:00-05:00 | Hamiltonicity of optimal 2-planar graphs | arXiv:2512.11535v2 Announce Type: replace Abstract: A classical result of Tutte shows that every 4-connected planar graph is Hamiltonian. In recent years, there has been growing interest in extending classical Hamiltonian results from planar graphs to sparse graphs with drawings allowing crossings, such as $k$-planar g... | https://arxiv.org/abs/2512.11535 | Academic Papers | svg |
c6eda61d5f1fc8546340d1cc4969dd82950c1a4f5500c435a5ed4b13b364eafe | 2026-01-01T00:00:00-05:00 | Teleportation=Translation: Continuous recovery of black hole information | arXiv:2512.11877v3 Announce Type: replace Abstract: The \textit{Teleportation=Translation} conjecture posits that the recovery of information from a black hole is dual to a geometric translation in the emergent spacetime. In this paper, we establish this equivalence by constructing a continuous family of unitaries that... | https://arxiv.org/abs/2512.11877 | Academic Papers | svg |
1bc69f6969faa7847709739042d672b4fe5bbf7c0d35c477adf3b7707022914a | 2026-01-01T00:00:00-05:00 | Complements of discriminants of real parabolic function singularities. II | arXiv:2512.12738v2 Announce Type: replace Abstract: We provide a complete list of the connected components of the spaces of non-discriminant functions within standard versal deformations of function singularities of classes $X_9$, $J_{10}$ and $P_8^1$ (as well as a partial list for the remaining class, $P_8^2$). Thus, ... | https://arxiv.org/abs/2512.12738 | Academic Papers | svg |
6c66087eb01d5367826ff239aac5b668d88e314d32fc1b576a4631257c381819 | 2026-01-01T00:00:00-05:00 | Hyperbolic equations with fifth-order symmetries | arXiv:2512.12789v2 Announce Type: replace Abstract: This paper examines the classification of hyperbolic equations. We study a class of equations of the form $$\frac{\partial^2 u}{\partial x\partial y}=F\left(\frac{\partial u}{\partial x},\frac{\partial u}{\partial y},u\right),$$ where $u(x,y)$ is the unknown function ... | https://arxiv.org/abs/2512.12789 | Academic Papers | svg |
4c0eb734d6c81ab86a46ea132f6a965ff7afe7bce090502f8b521c00ed24a817 | 2026-01-01T00:00:00-05:00 | Well-Posedness of Pseudo-Parabolic Gradient Systems with State-Dependent Dynamics | arXiv:2512.15164v2 Announce Type: replace Abstract: This paper develops a general mathematical framework for pseudo-parabolic gradient systems with state-dependent dynamics. The state dependence is induced by variable coefficient fields in the governing energy functional. Such coefficients arise naturally in scientific... | https://arxiv.org/abs/2512.15164 | Academic Papers | svg |
6118263bd7853dfafdbbc304a6577bb02aeb43b7d207cec0dc2ce94415c7cbca | 2026-01-01T00:00:00-05:00 | Capillary $L_p$-Christoffel-Minkowski problem | arXiv:2512.15464v2 Announce Type: replace Abstract: We solve the capillary $L_p$-Christoffel--Minkowski problem in the half-space for $1<k+1$ in the class of even hypersurfaces. A crucial ingredient is a non-collapsing estimate that yields lower bounds for both the height and the capillary support function. Our result ... | https://arxiv.org/abs/2512.15464 | Academic Papers | svg |
57f68207b4bab4979c6d3b4736f48cea916ca320cac41f9186d1d197a7d620fa | 2026-01-01T00:00:00-05:00 | A semicircle law for the normalized Laplacian of sparse random graphs | arXiv:2512.20146v2 Announce Type: replace Abstract: We study the limiting spectral distribution of the normalized Laplacian $\mathcal L$ of an Erd\H{o}s-R\'enyi graph $G(n,p)$. To account for the presence of isolated vertices in the sparse regime, we define $\mathcal L$ using the Moore-Penrose pseudoinverse of the degr... | https://arxiv.org/abs/2512.20146 | Academic Papers | svg |
e7a91764889ff90804b4bc9d146457b23f355624327acbba1822ed3f7f1dfbc6 | 2026-01-01T00:00:00-05:00 | On the Euclidean Distance Degree of Quadratic Two-Neuron Neural Networks | arXiv:2512.21016v3 Announce Type: replace Abstract: We study the Euclidean Distance degree of algebraic neural network models from the perspective of algebraic geometry. Focusing on shallow networks with two neurons, quadratic activation, and scalar output, we identify the associated neurovariety with the second secant... | https://arxiv.org/abs/2512.21016 | Academic Papers | svg |
14145c5834405a2ea4822afecff45abd18b45a537cecbedadaa8f280ed9938bf | 2026-01-01T00:00:00-05:00 | A Sieve M-Estimator for Entropic Optimal Transport | arXiv:2512.21981v2 Announce Type: replace Abstract: The entropically regularized optimal transport problem between probability measures on compact Euclidean subsets can be represented as an information projection with moment inequality constraints. This allows its Fenchel dual to be approximated by a sequence of convex... | https://arxiv.org/abs/2512.21981 | Academic Papers | svg |
29c3db8088aa39be8e4e60f641b339a781d222f13969ee6223f206b0f874caad | 2026-01-01T00:00:00-05:00 | Tiling Triangles with $2\pi/3$ Angles | arXiv:2512.22696v2 Announce Type: replace Abstract: Motivated by a question of Erd\"{o}s and inquiries by Beeson and Laczkovich, we explore the possible $N$ for which a triangle $T$ can tile into $N$ congruent copies of a triangle $R$. The \emph{reptile} cases (where $T$ is similar to $R$) and the \emph{commensurable-a... | https://arxiv.org/abs/2512.22696 | Academic Papers | svg |
b29d1db98a40a966e7b07eb03bd7f259d03f1d24fff7415c424dd779b883a7b2 | 2026-01-01T00:00:00-05:00 | L\^e modules and hypersurfaces with one-dimensional singular sets | arXiv:2512.23058v2 Announce Type: replace Abstract: By using our previous results on L\^e modules and an upper-bound on the betti numbers which we proved with L\^e, we investigate the cohomology of Milnor fibers and the internal local systems given by the vanishing cycles of hypersurfaces with one-dimensional singular ... | https://arxiv.org/abs/2512.23058 | Academic Papers | svg |
8e0885a068fcf4157d44b970c85faf25f826a9504d79107ed464271c2906fb76 | 2026-01-01T00:00:00-05:00 | Bounding the integral of the argument of the Riemann Zeta function | arXiv:2512.23064v2 Announce Type: replace Abstract: This article improves the estimate of $|S_1(t_2)-S_1(t_1)|$, which is the definite integral of the argument of the Riemann zeta-function between $t_1$ and $t_2$. Estimates of this quantity are needed to apply Turing's method to compute the exact number of zeta zeros u... | https://arxiv.org/abs/2512.23064 | Academic Papers | svg |
d40e465c2a29bc67092114942beafac86bb4e11c63c743812691986b9fe07f56 | 2026-01-01T00:00:00-05:00 | Intersections of sumsets in additive number theory | arXiv:2512.23574v2 Announce Type: replace Abstract: Let $A$ be a subset of an additive abelian semigroup and let $hA$ be the $h$-fold sumset of $A$. The following question is considered: Let $(A_q)_{q=1}^{\infty}$ be a strictly decreasing sequence of sets in the semigroup and let $A = \bigcap_{q=1}^{\infty} A_q$. When ... | https://arxiv.org/abs/2512.23574 | Academic Papers | svg |
2d84a8c31016c4262039d09b08d6827d3940595db9bd3d238cdb53b70575897d | 2026-01-01T00:00:00-05:00 | The Time-Periodic Cahn-Hilliard-Gurtin System on the Half Space as a Mixed-Order System with General Boundary Conditions | arXiv:2512.23582v2 Announce Type: replace Abstract: A well-posedness and maximal regularity result for the time-periodic Cahn-Hilliard-Gurtin system in the half space is proved. For this purpose, we introduce a novel class of complementing boundary conditions, extending the classical Lopatinski\u{\i}-Shapiro conditions... | https://arxiv.org/abs/2512.23582 | Academic Papers | svg |
d73597cfddf4bc0ae839ecab513922788df268dcbf38deadf037d222d67ccbf2 | 2026-01-01T00:00:00-05:00 | Forward-backward stochastic simulations: Q-based model for measurement and Bell-nonlocality consistent with weak local realistic premises | arXiv:2205.06070v5 Announce Type: replace-cross Abstract: We show how measurement and nonlocality can be explained consistently with macroscopic realism and no-signaling, and causal relations for macroscopic quantities. Considering measurement of a field amplitude $\hat{x}$, we derive theorems that lead to an equivalen... | https://arxiv.org/abs/2205.06070 | Academic Papers | svg |
37c14013e745b273049e727e52a143f82eb1b7c14eeb87cd5f6c42417dc202c6 | 2026-01-01T00:00:00-05:00 | Decomposition of $\mathcal{N}=1$ superconformal minimal models and their fractional quantum Hall wavefunctions | arXiv:2303.10107v2 Announce Type: replace-cross Abstract: $\mathcal{N}=1$ superconformal minimal models are the first series of unitary conformal field theories (CFTs) extending beyond Virasoro algebra. Using coset constructions, we characterize CFTs in $\mathcal{N}=1$ superconformal minimal models using combinations o... | https://arxiv.org/abs/2303.10107 | Academic Papers | svg |
64281923cbce4c2a3c2e0132e9374c8ff1d702594503c334a01ca32b8d863d13 | 2026-01-01T00:00:00-05:00 | Studentising Kendall's Tau: U-Statistic Estimators and Bias Correction for a Generalised Rank Variance-Covariance framework | arXiv:2307.10973v2 Announce Type: replace-cross Abstract: Kemeny (1959) introduced a topologically complete metric space to study ordinal random variables, particularly in the context of Condorcet's paradox and the measurability of ties. Building on this, Emond & Mason (2002) reformulated Kemeny's framework into a rank... | https://arxiv.org/abs/2307.10973 | Academic Papers | svg |
ac88cdc88a74def0bfefbb9e9d730eb52bb1045ad08a9de9c8a620cc700a5e6b | 2026-01-01T00:00:00-05:00 | The Population Resemblance Statistic: A Chi-Square Measure of Fit for Banking | arXiv:2307.11878v4 Announce Type: replace-cross Abstract: The Population Stability Index (PSI) is a widely used measure in credit risk modeling and monitoring within the banking industry. Its purpose is to monitor for changes in the population underlying a model, such as a scorecard, to ensure that the current populati... | https://arxiv.org/abs/2307.11878 | Academic Papers | svg |
fbbd01385ae49323355e16d00cdc8c909648d41c7dd9a8963be59cb7b2439c83 | 2026-01-01T00:00:00-05:00 | Quantum Expander Mixing Lemma and its Structural Converse | arXiv:2403.11454v2 Announce Type: replace-cross Abstract: Expander graphs are fundamental in both computer science and mathematics, with a wide array of applications. With quantum technology reshaping our world, quantum expanders have emerged, finding numerous uses in quantum information theory, quantum complexity, and... | https://arxiv.org/abs/2403.11454 | Academic Papers | svg |
22cae4e650eb880be1447459b8efbed4bf826944f3adb3a4be83782403437cbc | 2026-01-01T00:00:00-05:00 | Binary Galton-Watson trees with mutations | arXiv:2501.10951v2 Announce Type: replace-cross Abstract: We consider a multitype Galton-Watson process that allows for the mutation and reversion of individual types in discrete and continuous time. In this setting, we explicitly compute the time evolution of quantities such as the mean and distributions of different ... | https://arxiv.org/abs/2501.10951 | Academic Papers | svg |
14f2683f4b1a2d9040c6883574b932cbe698507cf568a482b1a39b99c2b3087b | 2026-01-01T00:00:00-05:00 | Classical Estimation of the Free Energy and Quantum Gibbs Sampling from the Markov Entropy Decomposition | arXiv:2504.17405v2 Announce Type: replace-cross Abstract: We revisit the Markov Entropy Decomposition, a classical convex relaxation algorithm introduced by Poulin and Hastings to approximate the free energy in quantum spin lattices. We identify a sufficient condition for its convergence, namely the decay of the effect... | https://arxiv.org/abs/2504.17405 | Academic Papers | svg |
2d1e661840b0c7cd94b87079c887bd3027b80d1969f7e8336961727c7bd16359 | 2026-01-01T00:00:00-05:00 | Gravitational radiation at infinity with negative cosmological constant and AdS$_4$ holography | arXiv:2507.05826v4 Announce Type: replace-cross Abstract: The covariant characterization of the existence of gravitational radiation traversing infinity $\mathscr{J}$ in the presence of a negative cosmological constant is presented. It is coherent and consistent with the previous characterizations put forward for the c... | https://arxiv.org/abs/2507.05826 | Academic Papers | svg |
1f7c3d5113fa83beea445f94177ac0e68da8122c1ecc23e0bd44ece5b061d898 | 2026-01-01T00:00:00-05:00 | Optically Controlled Skyrmion Number Current | arXiv:2508.11209v2 Announce Type: replace-cross Abstract: We propose a mechanism to control the motion of magnetic Skyrmions through the generation of a Skyrmion number current. This current is induced and tuned by an explicitly time-dependent Hamiltonian that includes a Zeeman term arising from the interaction between... | https://arxiv.org/abs/2508.11209 | Academic Papers | svg |
6f13d9fe3c21f3eb71e3ebe1ea26fd5b1e95a21cad5542617bd78677a584c5ce | 2026-01-01T00:00:00-05:00 | Quiver superconformal index and giant gravitons: asymptotics and expansions | arXiv:2509.12123v3 Announce Type: replace-cross Abstract: We study asymptotics of the $d=4$, $\mathcal{N}=1$ superconformal index for toric quiver gauge theories. Using graph-theoretic and algebraic factorization techniques, we obtain a cycle expansion for the large-$N$ index in terms of the $R$-charge-weighted adjacen... | https://arxiv.org/abs/2509.12123 | Academic Papers | svg |
d41605f7b3467e50102b06dfb1333fb955bdfaf7208b0ba2667c04f4ec483b66 | 2026-01-01T00:00:00-05:00 | Quantum Signatures of Strange Attractors | arXiv:2510.01416v3 Announce Type: replace-cross Abstract: In classical mechanics, driven systems with dissipation often exhibit complex, fractal dynamics known as strange attractors. This paper addresses the fundamental question of how such structures manifest in the quantum realm. We investigate the quantum Duffing os... | https://arxiv.org/abs/2510.01416 | Academic Papers | svg |
aa04d5e453bd7b98118405c81d044f5c25a67930cf039650328b332f4eeb037a | 2026-01-01T00:00:00-05:00 | The Popkov-Sch\"{u}tz two-lane lattice gas: Universality for general jump rates | arXiv:2510.12678v2 Announce Type: replace-cross Abstract: We consider the asymmetric version of the Popkov-Sch\"{u}tz two-lane lattice gas with general jump rates, subject to the stationary measure being of product form. This still leaves five free parameters. At density 1/2 the eigenvalues of the flux Jacobian are deg... | https://arxiv.org/abs/2510.12678 | Academic Papers | svg |
cf0d0a891889aacda129059ca68c7872a0749a4fa15f900b6df8ee8913d88aaf | 2026-01-01T00:00:00-05:00 | Results on Lorentzian metric spaces | arXiv:2510.24423v2 Announce Type: replace-cross Abstract: We provide a short introduction to ``Lorentzian metric spaces" i.e., spacetimes defined solely in terms of the two-point Lorentzian distance. As noted in previous work, this structure is essentially unique if minimal conditions are imposed, such as the continuit... | https://arxiv.org/abs/2510.24423 | Academic Papers | svg |
a51b4a6daec37ae1e8a1b1ec5ae730bc657099bac6a2da8c7826d6e2031a621b | 2026-01-01T00:00:00-05:00 | Torus Knots in Adjoint Representation | arXiv:2512.23095v2 Announce Type: replace-cross Abstract: We derive a closed-form expression for the adjoint polynomials of torus knots and investigate their special properties. The results are presented in the very explicit double sum form and provide a deeper insight into the structure of adjoint invariants essential... | https://arxiv.org/abs/2512.23095 | Academic Papers | svg |
faf3809ad0b1488d2374806680af801ce1f2835fec379f62af4c164ebfc93f71 | 2026-01-01T00:00:00-05:00 | Lambda Expected Shortfall | arXiv:2512.23139v2 Announce Type: replace-cross Abstract: The Lambda Value-at-Risk (Lambda$-VaR) is a generalization of the Value-at-Risk (VaR), which has been actively studied in quantitative finance. Over the past two decades, the Expected Shortfall (ES) has become one of the most important risk measures alongside Va... | https://arxiv.org/abs/2512.23139 | Academic Papers | svg |
a61a28192c9b97294c89ccabbcc49be82cbeca7fff8c4f7973ad1a00b6536b3b | 2026-01-01T00:00:00-05:00 | Machine-Learning Classification of Neutron-Star Matter Composition from Macroscopic and Oscillation Observables | arXiv:2512.23758v1 Announce Type: new Abstract: The microscopic composition of neutron star interiors remains uncertain, with possible scenarios including nucleonic matter, hyperonic matter, dark matter admixed cores, and strange self-bound matter. Traditional constraints on the equation of state rely on Tolman Oppenhe... | https://arxiv.org/abs/2512.23758 | Academic Papers | svg |
1752613fd97fd3b231a1df16f7e5e69870c6ddfff84ac38e90b79051ce52af04 | 2026-01-01T00:00:00-05:00 | Clustering of cosmic string loops within a Milky-way like halo | arXiv:2512.23811v1 Announce Type: new Abstract: Loops of cosmic string experience a recoil from anisotropic gravitational radiation, known as the rocket effect, which influences the extent to which they are captured by galaxies during structure formation. Analytical studies have reached different conclusions regarding ... | https://arxiv.org/abs/2512.23811 | Academic Papers | svg |
3cc240742b5c5c02abd65c0150f48b7016f8d7093d425db4a622f8bc0e952793 | 2026-01-01T00:00:00-05:00 | COBIPLANE: A Systematic Search for Compact Binary Millisecond Pulsars at Low Galactic Latitudes | arXiv:2512.23815v1 Announce Type: new Abstract: We present the main results obtained from the COmpact BInary Pulsar search in the low-LAtitude NEighborhood (COBIPLANE), an optical photometric survey designed to find new `spider' binary millisecond pulsars. We conducted observations targeting 30 unidentified sources fro... | https://arxiv.org/abs/2512.23815 | Academic Papers | svg |
060fb669df6752df64b45817d6d0830bfbb8b2a25b4f48c141eee9f7ec109cf4 | 2026-01-01T00:00:00-05:00 | A secondary orbiter under collisions with an accretion disk | arXiv:2512.23826v1 Announce Type: new Abstract: Dynamics of stellar orbits in dense stellar systems and nuclear star clusters (NSC) with an embedded supermassive black hole (SMBH) is governed a complex interplay of different forces. In particular, star--star gravitational collisions (relaxation), physical collisions be... | https://arxiv.org/abs/2512.23826 | Academic Papers | svg |
febbe8a2af7b0926710c505fede97ce4619f0a184884a29ea6dd7101b8061fda | 2026-01-01T00:00:00-05:00 | A clustering-based search for substructures in the Galactic plane and bulge using RR Lyrae stars as tracers | arXiv:2512.23846v1 Announce Type: new Abstract: Although many globular clusters (GCs) have been identified in the Galaxy, their population is estimated to be incomplete, especially in regions with strong crowding and interstellar extinction such as the Galactic bulge and plane.RR Lyrae stars, as bright standard candles... | https://arxiv.org/abs/2512.23846 | Academic Papers | svg |
ae8f7a8763d526a34c34f5a5bcf60d2169a7365acb337d065fdb4b50ca59cd59 | 2026-01-01T00:00:00-05:00 | The ionization structure and chemical history in isolated H ii regions of dwarf galaxies with VIMOS/IFU II. The Leo A galaxy | arXiv:2512.23863v1 Announce Type: new Abstract: Study the ionized gas in metal-poor environments is key to understanding the mechanisms regulating galaxy evolution. However, most of the previous studies of extragalactic HII regions rely on unresolved observations of gaseous structures. We study the south-western, spati... | https://arxiv.org/abs/2512.23863 | Academic Papers | svg |
c086f4a14b5dadc8bfccd1ba23bba856e2de716e9e1935aef3f31fa32af4d43d | 2026-01-01T00:00:00-05:00 | The Tianlai-WIYN North Celestial Cap Redshift Survey | arXiv:2512.23899v1 Announce Type: new Abstract: We present the results of a small, low redshift spectroscopic survey of galaxies within 3 degrees of the North Celestial Pole (NCP) selected using V-band photometry obtained from the North Celestial Cap Survey (NCCS) (Gorbikov & Brosch 2014). The purpose of the current su... | https://arxiv.org/abs/2512.23899 | Academic Papers | svg |
66d02fe7dfebca16ec460928beff2e44ae9d20b8e92b06d5900a50a218dec84f | 2026-01-01T00:00:00-05:00 | Variation of the 2175 {\AA} extinction feature in Andromeda galaxy | arXiv:2512.23958v1 Announce Type: new Abstract: Extinction curves contain key information on interstellar dust composition and size distribution, with the 2175 {\AA} bump being the most prominent feature. We analyze 20 sightlines toward M31 using HST/STIS UV spectroscopy combined with multi-band photometry to character... | https://arxiv.org/abs/2512.23958 | Academic Papers | svg |
a996b359c1f7a797cf0f5cbd7becb5549257a8cca8d2b2aecc46aef8e232d28e | 2026-01-01T00:00:00-05:00 | Time-Dependent Accretion Disks with Magnetically Driven Winds: Green's Function Solutions | arXiv:2512.23999v1 Announce Type: new Abstract: We present Green's function solutions for a geometrically thin, one-dimensional Keplerian accretion disk that includes angular momentum extraction and mass loss due to magnetohydrodynamic (MHD) winds. The disk viscosity is assumed to vary radially as $\nu \propto r^{n}$. ... | https://arxiv.org/abs/2512.23999 | Academic Papers | svg |
229af6136a8b36c131d32a52a2038d0dc1fee84444e7ee51837404fef9d336ff | 2026-01-01T00:00:00-05:00 | Machine-learning approaches to dispersion measure estimation for fast radio bursts | arXiv:2512.24003v1 Announce Type: new Abstract: Fast radio bursts (FRBs) are bright, mostly millisecond-duration transients of extragalactic origin whose emission mechanisms remain unknown. As FRB signals propagate through ionized media, they experience frequency-dependent delays quantified by the dispersion measure (D... | https://arxiv.org/abs/2512.24003 | Academic Papers | svg |
0d9a7465700ef22101e21081304b42cdf93ca3cb407b102096be67d4559cd5f7 | 2026-01-01T00:00:00-05:00 | Atmospheric Mass Flux as a Function of Ionospheric Emission on Unmagnetized Earth | arXiv:2512.24004v1 Announce Type: new Abstract: We explore ion escape from, and solar ion deposition to, \hll{an unmagnetized Earth-like planet}. We use RHybrid, an ion-kinetic electron-fluid code to simulate the global plasma interaction of unmagnetized Earth with the solar wind. We vary the global ionospheric emissio... | https://arxiv.org/abs/2512.24004 | Academic Papers | svg |
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