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77,126 articles

arXiv Math Jan 28

Iwahori-Coulomb branches, stable envelopes, and quantum cohomology of cotangent bundles of flag varieties

arXiv:2601.19691v1 Announce Type: new Abstract: We consider Iwahori-Coulomb branches $\mathcal{A}_{G,\mathbf{N},\mathbf{V}}^{\mathrm{Fl}}$, which are the affine flag analogs of the original Coulomb branches $\mathcal{A}_{G,\mathbf{N}}^{\mathrm{Gr}}$ defined by Braverman,...

Software Mathematics

arXiv Math Jan 28

Some examples of DG-Lie formality transfer

arXiv:2601.19698v1 Announce Type: new Abstract: We give a convenient reformulation, a slight generalization and some applications of the formality transfer theorem for DG-Lie algebras.

Software Mathematics

arXiv Math Jan 28

High-energy eigenfunctions of point perturbations of the Laplacian on the spheres $\mathbb{S}^{2}$ and $\mathbb{S}^{3}$

arXiv:2601.19701v1 Announce Type: new Abstract: We study the set of Quantum Limits, and more generally, of semiclassical measures of sequences of eigenfunctions of perturbations of...

Quantum Computing Energy

arXiv Math Jan 28

Joint Power Allocation and Antenna Placement for Pinching-Antenna Systems under User Location Uncertainty

arXiv:2601.19704v1 Announce Type: new Abstract: Pinching antenna systems have attracted much attention recently owing to its capability to maintain reliable line-of-sight (LoS) communication in high-frequency...

Energy Artificial Intelligence

arXiv Math Jan 28

High-energy eigenfunctions of point perturbations of the Laplacian

arXiv:2601.19705v1 Announce Type: new Abstract: In this paper, we explore the high-frequency properties of eigenfunctions of point perturbations of the Laplacian on a compact Riemannian...

arXiv Math Jan 28

Normalized Fractional Order Entropy-Based Decision-Making Models under Risk

arXiv:2601.19715v1 Announce Type: new Abstract: Constructing efficient portfolios requires balancing expected returns with risk through optimal stock selection, while accounting for investor preferences. In a...

Artificial Intelligence Neuroscience

arXiv Math Jan 28

On the asymptotic behavior of the Repulsive Pressureless Euler-Poisson System

arXiv:2601.19733v1 Announce Type: new Abstract: The main objective of this paper is a study of the asymptotic behavior of distributional solutions to the one-dimensional repulsive...

arXiv Math Jan 28

Combinatorial proofs of some identities on overpartitions with repeated smallest non-overlined part

arXiv:2601.19736v1 Announce Type: new Abstract: Let $\overline{\mathrm{spt}}k(n)$ denote the number of overpartitions of $n$ where the smallest non-overlined part, say $s(\pi)$, appears $k$ times and...

Software Biology

arXiv Math Jan 28

Error estimates of a training-free diffusion model for high-dimensional sampling

arXiv:2601.19740v1 Announce Type: new Abstract: Score-based diffusion models are a powerful class of generative models, but their practical use often depends on training neural networks...

arXiv Math Jan 28

Universality in the Low Mach number limit via a convex integration framework

arXiv:2601.19744v1 Announce Type: new Abstract: We study the low Mach number limit of the compressible Euler equations through the lens of convex integration. For any...

Software Mathematics

arXiv Math Jan 28

A Multiobjective Water Allocation Model for Economic Efficiency and Environmental Sustainability: Case Study

arXiv:2601.19746v1 Announce Type: new Abstract: The management of irrigation water systems has become increasingly complex due to competing demands for agricultural production, groundwater sustainability, and...

Economics Climate & Environment

arXiv Math Jan 28

A dual view of Roman Domination: The two neighbour packing problem

arXiv:2601.19748v1 Announce Type: new Abstract: We introduce the two neighbour packing problem: For a graph \(G=(V,E)\) one seeks to find a maximum cardinality subset \(A...

arXiv Math Jan 28

Pseudo-relativistic fermionic systems with attractive Yukawa potential

arXiv:2601.19751v1 Announce Type: new Abstract: We study the Hartree-Fock and Hartree-Fock-Bogoliubov theories for a large fermionic system with the pseudo-relativistic kinetic energy and an attractive...

arXiv Math Jan 28

Triangulated monoidal categorifications of finite type cluster algebras

arXiv:2601.19754v1 Announce Type: new Abstract: We propose a framework of monoidal categorification of finite type cluster algebras involving triangulated monoidal categories. Namely, given a Dynkin...

Software Mathematics

arXiv Math Jan 28

Integral torsion points on abelian varieties over function fields

arXiv:2601.19757v1 Announce Type: new Abstract: We prove an analogue, over global function fields, of a conjecture due to Su-Ion Ih concerning the non-Zariski density of...

Mathematics Space & Astronomy

arXiv Math Jan 28

Pureness and stable rank one for reduced twisted group $\mathrm{C}^\ast$-algebras of certain group extensions

arXiv:2601.19758v1 Announce Type: new Abstract: The purpose of this note is to prove two results. First, we observe that discrete groups with property $\mathrm{P}_{\mathrm{PHP}}$ in...

arXiv Math Jan 28

Unique Preference Aggregation in Design and Decision Making

arXiv:2601.19759v1 Announce Type: new Abstract: Preference aggregation is a core operation in multi-objective design optimisation and group decision-making, as it determines the best-fit-for-common-purpose alternative within...

Technology Software

arXiv Math Jan 28

Schur's theorem and its relation to the closure properties of the non-abelian tensor product

arXiv:2601.19764v1 Announce Type: new Abstract: We show that the Schur multiplier of a Noetherian group need not be finitely generated. We prove that the non-abelian...

Mathematics Biology

arXiv Math Jan 28

General position and mutual-visibility in shadow graphs

arXiv:2601.19769v1 Announce Type: new Abstract: The \emph{general position problem} in graphs asks for a largest set of vertices in which no three lie on a...

arXiv Math Jan 28

Embeddable partial groups

arXiv:2601.19772v1 Announce Type: new Abstract: We record a folklore theorem that says a partial group embeds in a group if and only if each word...

arXiv Math Jan 28

Cost-Benefit Analysis for PMU Placement in Power Grids

arXiv:2601.19775v1 Announce Type: new Abstract: Power domination is a graph-theoretic model for the observance of a power grid using phasor measurement units (PMUs). There are...

arXiv Math Jan 28

Tropical symmetries of cluster algebras

arXiv:2601.19779v1 Announce Type: new Abstract: We study tropicalisations of quasi-automorphisms of cluster algebras and show that their induced action on the g-vectors can be realized...

Software Mathematics

arXiv Math Jan 28

Unimodular lattices of rank 29 and related even genera of small determinant

arXiv:2601.19780v1 Announce Type: new Abstract: We classify the unimodular Euclidean integral lattices of rank 29 by developing an elementary, yet very efficient, inductive method. As...

Software Biology

arXiv Math Jan 28

Methods in studying qualitative properties of fractional equations

arXiv:2601.19783v1 Announce Type: new Abstract: In this paper, we systematically review a series of effective methods for studying the qualitative properties of solutions to fractional...

Technology Software