Anosov does not imply infinitesimally ergodic
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- by R. C. Swanson and Carmen Chicone PDF
- Proc. Amer. Math. Soc. 75 (1979), 169-170 Request permission
Abstract:
A class of hyperbolic toral automorphisms is exhibited which are not infinitesimally ergodic. These provide counterexamples to the conjecture that Anosov diffeomorphisms are infinitesimally ergodic.References
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C. Chicone and R. Swanson, Infinitesimal ergodicity for some dynamical systems (preprint).
- J. W. Robbin, Topological conjugacy and structural stability for discrete dynamical systems, Bull. Amer. Math. Soc. 78 (1972), 923–952. MR 312529, DOI 10.1090/S0002-9904-1972-13058-1
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 75 (1979), 169-170
- MSC: Primary 58F15; Secondary 28D99
- DOI: https://doi.org/10.1090/S0002-9939-1979-0529235-3
- MathSciNet review: 529235