On algebraic Anosov diffeomorphisms on nilmanifolds.
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Gorbatsevich, V.V. (2004)
Sibirskij Matematicheskij Zhurnal
Boris Gurevich, Sergei Komech (2012)
ESAIM: Proceedings
We study the connection between the entropy of a dynamical system and the boundary distortion rate of regions in the phase space of the system.
Kazuhiro Sakai (1997)
Mathematica Slovaca
Mark Pollicott (1985)
Inventiones mathematicae
Fernando Micena, Ali Tahzibi (2016)
Fundamenta Mathematicae
Unlike in the invertible setting, Anosov endomorphisms may have infinitely many unstable directions. Here we prove, under the transitivity assumption, that an Anosov endomorphism of a closed manifold M is either special (that is, every x ∈ M has only one unstable direction), or for a typical point in M there are infinitely many unstable directions. Another result is the semi-rigidity of the unstable Lyapunov exponent of a codimension one Anosov endomorphism that is C¹-close to a linear endomorphism...
Feliks Przytycki (1977)
Studia Mathematica
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