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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Anosov does not imply infinitesimally ergodic

Authors: R. C. Swanson and Carmen Chicone
Journal: Proc. Amer. Math. Soc. 75 (1979), 169-170
MSC: Primary 58F15; Secondary 28D99
MathSciNet review: 529235
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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.

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PII: S 0002-9939(1979)0529235-3
Keywords: Anosov diffeomorphism, hyperbolic toral automorphism, ergodic, Sobolev space, adjoint representation
Article copyright: © Copyright 1979 American Mathematical Society

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