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Dual lattice is an important concept of Euclidean lattices. In 2024, Deng gave the definition to the concept of the dual lattice of a $p$-adic lattice from the duality theory of locally compact abelian groups. He also proved some important…

数论 · 数学 2024-07-16 Chi Zhang

A recent work [Mierzejewski et al., Phys. Rev. B 107, 045134 (2023)] observed "quasiballistic spin transport" - long-lived and transiently ballistic modes of the magnetization density - in numerical simulations of infinite-temperature XXZ…

统计力学 · 物理学 2025-12-15 Jeffrey Z. Song , Hyunsoo Ha , Wen Wei Ho , Vir B. Bulchandani

This paper explores successor features for knowledge transfer in zero-sum, complete-information, and turn-based games. Prior research in single-agent systems has shown that successor features can provide a ``jump start" for agents when…

多智能体系统 · 计算机科学 2025-07-31 Sunny Amatya , Yi Ren , Zhe Xu , Wenlong Zhang

Formal Concept Analysis makes the fundamental observation that any finite lattice $(L, \leq)$ is determined up to isomorphism by the restriction of the relation ${\leq} \subseteq L \times L$ to the set $J(L) \times M(L)$, where $J(L)$ is…

组合数学 · 数学 2025-08-11 Scott Balchin , Ben Spitz

We give new homotopy theoretic criteria for deciding when a fibration with homotopy finite fibers admits a reduction to a fiber bundle with compact topological manifold fibers. The criteria lead to a new and unexpected result about…

代数拓扑 · 数学 2014-02-26 John R. Klein , Bruce Williams

We investigate the performance of a variant of Axelrod's model for dissemination of culture - the Adaptive Culture Heuristic (ACH) - on solving an NP-Complete optimization problem, namely, the classification of binary input patterns of size…

数据结构与算法 · 计算机科学 2010-12-01 Jose F. Fontanari

Transfer learning has emerged as a highly sought-after and actively pursued research area within the statistical community. The core concept of transfer learning involves leveraging insights and information from auxiliary datasets to…

统计方法学 · 统计学 2024-08-01 Pengfei Li , Tao Yu , Chixiang Chen , Jing Qin

We present a generalization of Bloch's theorem to finite-range lattice systems of independent fermions, in which translation symmetry is broken only by arbitrary boundary conditions, by providing exact, analytic expressions for all energy…

统计力学 · 物理学 2017-11-22 Abhijeet Alase , Emilio Cobanera , Gerardo Ortiz , Lorenza Viola

In the first part of the paper, we formulate several arithmetic transfer conjectures, which are variants of the arithmetic fundamental lemma conjecture in the presence of ramification. The ramification comes from the choice of…

数论 · 数学 2026-05-05 Chao Li , Michael Rapoport , Wei Zhang

In this paper we investigate some particular spin lattice (a higher dimensional generalization of a spin chain) related to Zamolodchikov model, in the limit when both sizes of the lattice tend to infinity. An infinite set of bilinear…

可精确求解与可积系统 · 物理学 2007-05-23 S. Sergeev

A semiclassical model is presented for characterizing the linear response of elementary quantum optical systems involving cavities, optical fibers, and atoms. Formulating the transmission and reflection spectra using a scattering-wave…

量子物理 · 物理学 2020-07-01 Nikolett Német , Donald White , Shinya Kato , Scott Parkins , Takao Aoki

At a continuous transition into a nonunique absorbing state, particle systems may exhibit nonuniversal critical behavior, in apparent violation of hyperscaling. We propose a generalized scaling theory for dynamic critical behavior at a…

凝聚态物理 · 物理学 2009-10-22 J. F. F. Mendes , Ronald Dickman , Malte Henkel , M. Ceu Marques

In cooperative game theory, the primary focus is the equitable allocation of payoffs or costs among agents. However, in the practical applications of cooperative games, accurately representing games is challenging. In such cases, using an…

计算机科学与博弈论 · 计算机科学 2024-05-21 Soh Kumabe , Yuichi Yoshida

We consider continuous, translation-commuting transformations of compact, translation-invariant families of mappingsfrom finitely generated groups into finite alphabets. It is well-known that such transformations and spaces can be described…

动力系统 · 数学 2008-06-16 Silvio Capobianco

We introduce and study the lattice of generalized partitions, called weighted partitions. This lattice possesses similar properties of the lattice of partitions. By use of the pictorial representation of a weighted partition, the total…

组合数学 · 数学 2023-01-02 Keiichi Shigechi

Which equilibria will arise in signaling games depends on how the receiver interprets deviations from the path of play. We develop a micro-foundation for these off-path beliefs, and an associated equilibrium refinement, in a model where…

经济学 · 定量金融 2018-08-03 Drew Fudenberg , Kevin He

We construct a well-behaved transfer map from the p-local Burnside ring of the underlying p-group S to the p-local Burnside ring of a saturated fusion system F. Using this transfer map, we give new results on the characteristic idempotent…

代数拓扑 · 数学 2015-12-02 Sune Precht Reeh

This paper investigates the long-term behavior of an interacting particle system of interest in the hot topic of evolutionary game theory. Each site of the $d$-dimensional integer lattice is occupied by a player who is characterized by one…

概率论 · 数学 2016-06-07 Eric Foxall , Nicolas Lanchier

An artificial neural network is used to evaluate the effectiveness of six metrics and their combinations to assess whether slip transfers across grain boundaries in coarse-grained oligocrystalline Al foils…

材料科学 · 物理学 2020-05-13 Zhuowen Zhao , Thomas R. Bieler , Javier LLorca , Philip Eisenlohr

We discover a deep connection between parity-time (PT) symmetric optical systems and quantum transport in one-dimensional fermionic chains in a two-terminal open system setting. The spectrum of one dimensional tight-binding chain with…

量子物理 · 物理学 2023-05-17 Madhumita Saha , Bijay Kumar Agarwalla , Manas Kulkarni , Archak Purkayastha