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Funktsional'nyi Analiz i ego Prilozheniya, 2005, Volume 39, Issue 1, Pages 27–38
DOI: https://doi.org/10.4213/faa29 (Mi faa29) 		 
This article is cited in 42 scientific papers (total in 42 papers)

Nonremovable Zero Lyapunov Exponents

A. S. Gorodetskiab, Yu. S. Ilyashenkocad, V. A. Kleptsyneaf, M. B. Nalskye

a Independent University of Moscow
b California Institute of Technology
c M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
d Cornell University
e M. V. Lomonosov Moscow State University
f CNRS — Unit of Mathematics, Pure and Applied
Full-text PDF (217 kB) Citations (42)
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DOI: https://doi.org/10.4213/faa29
Abstract: Skew products over a Bernoulli shift with a circle fiber are studied. We prove that in the space of such products there exists a nonempty open set of mappings each of which possesses an invariant ergodic measure with one of the Lyapunov exponents equal to zero. The conjecture that the space of $C^2$-diffeomorphisms of the $3$-dimensional torus into itself has a similar property is discussed.
Keywords: Lyapunov exponent, partially hyperbolic system, nonuniform hyperbolicity, dynamical system, skew product, Bernoulli diffeomorphism.
Received: 24.05.2004
English version:
Functional Analysis and Its Applications, 2005, Volume 39, Issue 1, Pages 21–30
DOI: https://doi.org/10.1007/s10688-005-0014-8
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. S. Gorodetski, Yu. S. Ilyashenko, V. A. Kleptsyn, M. B. Nalsky, “Nonremovable Zero Lyapunov Exponents”, Funktsional. Anal. i Prilozhen., 39:1 (2005), 27–38; Funct. Anal. Appl., 39:1 (2005), 21–30
Citation in format AMSBIB
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    • This publication is cited in the following 42 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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