Anosov diffeomorphisms on the infinite-dimensional torus

Sergey Dmitrievich Glyzin; Andrei Yur'evich Kolesov; Nikolai Khristovich Rozov

doi:10.1070/im9002

Anosov diffeomorphisms on the infinite-dimensional torus

Izvestiya Mathematics ◽

10.1070/im9002 ◽

2021 ◽

Vol 85 (2) ◽

Author(s):

Sergey Dmitrievich Glyzin ◽

Andrei Yur'evich Kolesov ◽

Nikolai Khristovich Rozov

Keyword(s):

Dimensional Torus ◽

Anosov Diffeomorphisms ◽

Infinite Dimensional ◽

Infinite Dimensional Torus

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Reducibility of nonlinear almost periodic systems of difference equations on an infinite-dimensional torus

Ukrainian Mathematical Journal ◽

10.1007/bf01059424 ◽

1994 ◽

Vol 46 (9) ◽

pp. 1336-1344

Author(s):

A. M. Samoilenko ◽

D. I. Martynyuk ◽

N. A. Perestyuk

Keyword(s):

Difference Equations ◽

Periodic Systems ◽

Almost Periodic ◽

Dimensional Torus ◽

Infinite Dimensional ◽

Infinite Dimensional Torus

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Summation of Fourier Series on the Infinite-Dimensional Torus

Mathematical Notes ◽

10.1134/s0001434618050358 ◽

2018 ◽

Vol 103 (5-6) ◽

pp. 990-996

Author(s):

D. V. Fufaev

Keyword(s):

Fourier Series ◽

Dimensional Torus ◽

Infinite Dimensional ◽

Infinite Dimensional Torus

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On differentiation of integrals in the infinite-dimensional torus

Studia Mathematica ◽

10.4064/sm191001-10-2 ◽

2020 ◽

Author(s):

Dariusz Kosz

Keyword(s):

Dimensional Torus ◽

Infinite Dimensional ◽

Differentiation Of Integrals ◽

Infinite Dimensional Torus

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A Remark on Stochastic Dynamics on the Infinite-Dimensional Torus

Seminar on Stochastic Analysis, Random Fields and Applications ◽

10.1007/978-3-0348-7026-9_2 ◽

1995 ◽

pp. 27-35 ◽

Cited By ~ 1

Author(s):

S. Albeverio ◽

Yu. G. Kondratiev ◽

M. Röckner

Keyword(s):

Stochastic Dynamics ◽

Dimensional Torus ◽

Infinite Dimensional ◽

Infinite Dimensional Torus

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On the absolute divergence of Fourier series on the infinite-dimensional torus

Colloquium Mathematicum ◽

10.4064/cm7568-6-2018 ◽

2019 ◽

Vol 157 (1) ◽

pp. 143-155

Author(s):

Emilio Fernández ◽

Luz Roncal

Keyword(s):

Fourier Series ◽

Dimensional Torus ◽

Infinite Dimensional ◽

The Absolute ◽

Infinite Dimensional Torus

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A criterion for hyperbolicity of a class of diffeomorphisms on an infinite-dimensional torus

Sbornik Mathematics ◽

10.1070/sm9535 ◽

2022 ◽

Vol 213 (2) ◽

Author(s):

Sergey Dmitrievich Glyzin ◽

Andrei Yur'evich Kolesov

Keyword(s):

Dimensional Torus ◽

Infinite Dimensional ◽

Infinite Dimensional Torus

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Certain approximation problems for functions on the infinite-dimensional torus: Lipschitz spaces

Izvestiya Mathematics ◽

10.1070/im8489 ◽

2018 ◽

Vol 82 (1) ◽

pp. 186-211

Author(s):

S S Platonov

Keyword(s):

Dimensional Torus ◽

Lipschitz Spaces ◽

Infinite Dimensional ◽

Approximation Problems ◽

Infinite Dimensional Torus

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Lagrangian dynamics on an infinite-dimensional torus; a Weak KAM theorem

Advances in Mathematics ◽

10.1016/j.aim.2009.11.005 ◽

2010 ◽

Vol 224 (1) ◽

pp. 260-292 ◽

Cited By ~ 15

Author(s):

W. Gangbo ◽

A. Tudorascu

Keyword(s):

Kam Theorem ◽

Lagrangian Dynamics ◽

Dimensional Torus ◽

Infinite Dimensional ◽

Infinite Dimensional Torus

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On the sample paths of diagonal Brownian motions on the infinite dimensional torus

Annales de l Institut Henri Poincaré Probabilités et Statistiques ◽

10.1016/s0246-0203(03)00048-7 ◽

2004 ◽

Vol 40 (2) ◽

pp. 227-254

Author(s):

A Bendikov

Keyword(s):

Dimensional Torus ◽

Brownian Motions ◽

Infinite Dimensional ◽

Sample Paths ◽

Infinite Dimensional Torus

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Approximate Method of Construction of Almost Periodic Solutions of Linear Systems of Differential Equations, Defined on the Infinite-Dimensional Torus

Mathematical and computer modelling. Series: Physical and mathematical sciences ◽

10.32626/2308-5878.2020-21.137-144 ◽

2020 ◽

pp. 137-144

Author(s):

Yu. V. Teplinskiy ◽

Keyword(s):

Differential Equations ◽

Periodic Solutions ◽

Approximate Method ◽

Linear Systems ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Dimensional Torus ◽

Infinite Dimensional ◽

Systems Of Differential Equations ◽

Infinite Dimensional Torus

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