Results 11 to 20 of about 329 (169)
Flows: cocyclic and almost cocyclic
Theory and Applications of Categories, 2011 The paper studies flows from the point of view of the category theory. A flow is regarded as the category whose objects are pairs \((X,t)\) where \(X\) is a compact Hausdorff space and \(t:X\to X\) is an automorphism. Using the closed structure on the category of uniform spaces, a flow gives rise, by iteration, to an action of the integers on the ...
Barr, Michael +2 more
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Local rigidity for cocycles [PDF]
Surveys in Differential Geometry, 2003 In this paper we study perturbations of constant cocycles for actions of higher rank semi-simple algebraic groups and their lattices. Roughly speaking, for ergodic actions, Zimmer's cocycle superrigidity theorems implies that the perturbed cocycle is measurably conjugate to a constant cocycle modulo a compact valued cocycle.
Fisher, David, Margulis, G. A.
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Quantum stochastic convolution cocycles III [PDF]
Mathematische Annalen, 2005 Schuermann's theory of quantum Levy processes, and more generally the theory of quantum stochastic convolution cocycles, is extended to the topological context of compact quantum groups and operator space coalgebras. Quantum stochastic convolution cocycles on a C*-hyperbialgebra, which are Markov-regular, completely positive and contractive, are shown ...
Lindsay, J. Martin, Skalski, Adam G.
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Pseudococyclic Partial Hadamard Matrices over Latin Rectangles
Mathematics, 2021 The classical design of cocyclic Hadamard matrices has recently been generalized by means of both the notions of the cocycle of Hadamard matrices over Latin rectangles and the pseudococycle of Hadamard matrices over quasigroups.
Raúl M. Falcón +4 more
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Group-theoretic Johnson classes and a non-hyperelliptic curve with torsion Ceresa class [PDF]
Épijournal de Géométrie Algébrique, 2023 Let l be a prime and G a pro-l group with torsion-free abelianization. We produce group-theoretic analogues of the Johnson/Morita cocycle for G -- in the case of surface groups, these cocycles appear to refine existing constructions when l=2.
Dean Bisogno +3 more
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Anomaly in RTT relation for DIM algebra and network matrix models
Nuclear Physics B, 2017 We discuss the recent proposal of arXiv:1608.05351 about generalization of the RTT relation to network matrix models. We show that the RTT relation in these models is modified by a nontrivial, but essentially abelian anomaly cocycle, which we explicitly ...
Hidetoshi Awata +6 more
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Topology and its Applications, 2019 We incorporate quandle cocycle information into the quandle coloring quivers we defined in arXiv:1807.10465 to define weighted directed graph-valued invariants of oriented links we call \textit{quandle cocycle quivers}. This construction turns the quandle cocycle invariant into a small category, yielding a categorification of the quandle ...
Cho, Karina, Nelson, Sam
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On quasi‐orthogonal cocycles [PDF]
Journal of Combinatorial Designs, 2017 AbstractWe introduce the notion of quasi‐orthogonal cocycle. This is motivated in part by the maximal determinant problem for square ‐matrices of size congruent to 2 modulo 4. Quasi‐orthogonal cocycles are analogous to the orthogonal cocycles of algebraic design theory.
J. A. Armario, D. L. Flannery
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Mixed Random-Quasiperiodic Cocycles
Bulletin of the Brazilian Mathematical Society, New Series, 2022 We introduce the concept of mixed random-quasiperiodic linear cocycles. We characterize the ergodicity of the base dynamics and establish a large deviations type estimate for certain types of observables. For the fiber dynamics we prove the uniform upper semicontinuity of the maximal Lyapunov exponent.
Ao Cai, Pedro Duarte, Silvius Klein
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Asymptotic behavior of plate equations driven by colored noise on unbounded domains
Boundary Value Problems, 2023 This paper investigates mainly the asymptotic behavior of the nonautonomous random dynamical systems generated by the plate equations driven by colored noise defined on R n $\mathbb{R}^{n}$ .
Xiao Bin Yao
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