Abstract:
A review of results is presented concerning the deformation rate of set boundaries in the phase space of Anosov diffeomorphisms, some symbolic systems, and some flows.
The work is supported by the Russian Science Foundation under grant 14-50-00150 and performed in the Institute for Information Transmission Problems of the Russian Academy of Sciences.
Citation:
B. M. Gurevich, S. A. Komech, “Deformation rate of boundaries in Anosov and related systems”, Order and chaos in dynamical systems, Collected papers. On the occasion of the 125th anniversary of the birth of Academician Dmitry Victorovich Anosov, Trudy Mat. Inst. Steklova, 297, MAIK Nauka/Interperiodica, Moscow, 2017, 211–223; Proc. Steklov Inst. Math., 297 (2017), 188–199
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\by B.~M.~Gurevich, S.~A.~Komech
\paper Deformation rate of boundaries in Anosov and related systems
\inbook Order and chaos in dynamical systems
\bookinfo Collected papers. On the occasion of the 125th anniversary of the birth of Academician Dmitry Victorovich Anosov
\serial Trudy Mat. Inst. Steklova
\yr 2017
\vol 297
\pages 211--223
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\jour Proc. Steklov Inst. Math.
\yr 2017
\vol 297
\pages 188--199
\crossref{https://doi.org/10.1134/S0081543817040113}
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Linking options:
https://www.mathnet.ru/eng/tm3802
https://doi.org/10.1134/S037196851702011X
https://www.mathnet.ru/eng/tm/v297/p211
This publication is cited in the following 4 articles:
G. D. Dvorkin, “Geometric interpretation of the entropy of sofic systems”, Problems Inform. Transmission, 59:2 (2023), 115–127
G. D. Dvorkin, “Geometric interpretation of entropy for Dyck systems”, Problems Inform. Transmission, 58:2 (2022), 137–143
G. D. Dvorkin, “Geometric interpretation of entropy: new results”, Problems Inform. Transmission, 57:3 (2021), 281–291
B. M. Gurevich, S. A. Komech, A. A. Tempelman, “Sluchainoe usrednenie v ergodicheskoi teoreme i skorost deformatsii granits pod deistviem simvolicheskoi dinamiki”, Mosc. Math. J., 19:1 (2019), 77–88