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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.
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...
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...
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: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...
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: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...
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: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...
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...
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: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: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...
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...
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: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...
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...
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: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: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: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...
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...
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...
arXiv:2601.19790v1 Announce Type: new Abstract: We establish infinite families of congruences modulo arbitrary powers of $2$ for three restricted partition functions $M(n), T^\ast(n)$, and $P^\ast(n)$...