Markov partitions are not smooth

Author:

Bowen Rufus

Abstract

The boundaries of the sets in a Markov partition for linear Anosov diffeomorphisms of T 3 {T^3} cannot be smooth.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Markov partitions and minimal sets for Axiom 𝐴 diffeomorphisms;Bowen, Rufus;Amer. J. Math.,1970

2. Invariant sets of hyperbolic toral automorphisms;Franks, John M.;Amer. J. Math.,1977

3. On invariant subsets of hyperbolic sets;Hirsch, Morris W.,1970

4. Princeton Mathematical Series, vol. 4;Hurewicz, Witold,1941

5. Axiom 𝐴 diffeomorphisms have rational zeta functions;Manning, Anthony;Bull. London Math. Soc.,1971

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