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This article is cited in 1 scientific paper (total in 1 paper)
Brief communications
A $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any point
C. Bonattia, S. S. Minkovb, A. V. Okunevc, I. S. Shilinb a Université de Bourgogne, Dijon, France
b Moscow Center for Continuous Mathematical Education, Moscow, Russia
c National Research University Higher School of Economics, Moscow, Russia
Abstract:
We present an example of a $C^1$ Anosov diffeomorphism with a physical measure such that its basin has full Lebesgue measure and its support is a horseshoe of zero measure.
Keywords:
Anosov diffeomorphism, $C^1$-topology, physical measure, thick horseshoe.
Received: 16.10.2016
Citation:
C. Bonatti, S. S. Minkov, A. V. Okunev, I. S. Shilin, “A $C^1$ Anosov diffeomorphism with a horseshoe that attracts almost any point”, Funktsional. Anal. i Prilozhen., 51:2 (2017), 83–86; Funct. Anal. Appl., 51:2 (2017), 144–147
Linking options:
https://www.mathnet.ru/eng/faa3452https://doi.org/10.4213/faa3452 https://www.mathnet.ru/eng/faa/v51/i2/p83
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Abstract page: | 358 | Full-text PDF : | 49 | References: | 54 | First page: | 32 |
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