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Hyperbolic measures and commuting maps in low dimension

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Publication:1576692
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DOI10.3934/dcds.1996.2.397zbMath0948.37002OpenAlexW2061759415MaRDI QIDQ1576692

Anatole Katok

Publication date: 16 August 2000

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.1996.2.397


zbMATH Keywords

invariant measureshyperbolic measurenondegeneracy conditionLyapunov characteristic exponents


Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems with hyperbolic behavior (37D99)


Related Items (5)

The centralizer of $C^r$-generic diffeomorphisms at hyperbolic basic sets is trivial ⋮ Nonuniform measure rigidity ⋮ Anatole Katok ⋮ The Fried average entropy and slow entropy for actions of higher rank abelian groups ⋮ ROOTS AND CENTRALIZERS OF ANOSOV DIFFEOMORPHISMS ON TORI




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