Elements of hyperbolic theory on an infinite-dimensional torus

DOI10.1070/RM10058zbMath1526.37033OpenAlexW4285139789WikidataQ115553514 ScholiaQ115553514MaRDI QIDQ6137290

S. D. Glyzin, A. Yu. Kolesov

Publication date: 1 September 2023

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/rm10058

zbMATH Keywords

diffeomorphismhyperbolicityinvariant foliationsinteger latticeinfinite-dimensional torusHadamard-Perron theorem

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Continuous and differentiable maps in nonlinear functional analysis (46T20) Differentiability questions for infinite-dimensional manifolds (58B10)

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