Results 41 to 50 of about 121,182 (204)
Integral Cayley Graphs over Abelian Groups [PDF]
The Electronic Journal of Combinatorics, 2010 Let $\Gamma$ be a finite, additive group, $S \subseteq \Gamma, 0\notin S, -S=\{-s: s\in S\}=S$. The undirected Cayley graph Cay$(\Gamma,S)$ has vertex set $\Gamma$ and edge set $\{\{a,b\}: a,b\in \Gamma$, $a-b \in S\}$. A graph is called integral, if all of its eigenvalues are integers.
Walter Klotz, Torsten Sander
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Wilson lines and UV sensitivity in magnetic compactifications
Journal of High Energy Physics, 2017 We investigate the ultraviolet (UV) behaviour of 6D N=1 supersymmetric effective (Abelian) gauge theories compactified on a two-torus (T 2) with magnetic flux.
D.M. Ghilencea, Hyun Min Lee
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Symmetry‐Imposed Selection Rules for Excitations of Nontrivial Plasmonic Topologies
Advanced Science, EarlyView.A unified group‐theory selection rule governs the excitation of vectorial nearfield topologies across three plasmonic spin states. Derived from first principles, it predicts spin–orbit vortex splitting and multidimensional nested vortices, confirmed by phase‐resolved in situ measurements.
Jie Yang +14 more
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Abelian functions associated with a cyclic tetragonal curve of genus six [PDF]
, 2009 We develop the theory of Abelian functions defined using a tetragonal curve of genus six, discussing in detail the cyclic curve y^4 = x^5 + λ[4]x^4 + λ[3]x^3 + λ[2]x^2 + λ[1]x + λ[0].
Eilbeck, J. C. +2 more
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Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
On Integrability of the Kontsevich Non-Abelian ODE System [PDF]
Letters in Mathematical Physics, 2011 We consider systems of ODEs with the right hand side being Laurent polynomials in several non-commutative unknowns. In particular, these unknowns could be matrices of arbitrary size. An important example of such a system was proposed by M. Kontsevich.
Wolf, Thomas, Efimovskaya, Olga
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On shortest crucial words avoiding abelian powers [PDF]
, 2010 Let k ≥ 2 be an integer. An abeliank th power is a word of the form X1 X2 ⋯ Xk where Xi is a permutation of X1 for 2 ≤ i ≤ k. A word W is said to be crucial with respect to abelian kth powers if W avoids abelian kth powers, but W x ends with an abelian ...
Sergey Kitaev +12 more
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Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
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Corrigendum to Integral points on Abelian varieties [PDF]
Inventiones Mathematicae, 1986 The author changes the formulation of theorem 1 in this cited paper [ibid. 81, 341-346 (1985; Zbl 0576.14041).
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On p-Adic Estimates of Weights in Abelian Codes over Galois Rings [PDF]
, 2005 Let p be a prime. We prove various analogues and generalizations of McEliece's theorem on the p-divisibility of weights of words in cyclic codes over a finite field of characteristic p. Here we consider Abelian codes over various Galois rings.
Katz, Daniel Jerome
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