A special ergodic theorem for Anosov diffeomorphisms on the 2-torus

DOI10.1007/S10688-011-0006-9zbMath1271.37006OpenAlexW2041545778MaRDI QIDQ366286

P. S. Saltykov

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-011-0006-9

zbMATH Keywords

Hausdorff dimensionMarkov chainlarge deviation theoremAnosov diffeomorphismspecial ergodic theorem

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (4)

Thick attractors of boundary preserving diffeomorphisms ⋮ On $C^{2}$-stable effects of intermingled basins of attractors in classes of boundary-preserving maps ⋮ Attractors and skew products ⋮ Boundary-preserving mappings of a manifold with intermingling basins of components of the attractor, one of which is open

Cites Work

• Unnamed Item
• Openness of the set of boundary preserving maps of an annulus with intermingled attracting basins
• Bijective arithmetic codings of hyperbolic automorphisms of the \(2\)-torus, and binary quadratic forms
• Construction of Markov partitions
• ENTROPY, A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS
• Similarity of automorphisms of the torus
• Large deviations

This page was built for publication: A special ergodic theorem for Anosov diffeomorphisms on the 2-torus