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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Deviations of trajectory averages and the defect in Pesin's formula for Anosov diffeomorphisms


Authors: Steven Orey and Stephan Pelikan
Journal: Trans. Amer. Math. Soc. 315 (1989), 741-753
MSC: Primary 60F10; Secondary 28D20, 58F11, 58F15
MathSciNet review: 935534
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Abstract | References | Similar Articles | Additional Information

Abstract: A large deviation theorem at the Donsker Varadhan level three is obtained for the convergence of trajectory averages of Anosov diffeomorphisms. It is possible to provide an explicit description of the rate function.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1989-0935534-4
PII: S 0002-9947(1989)0935534-4
Keywords: Anosov diffeomorphism, trajectory average, large deviations
Article copyright: © Copyright 1989 American Mathematical Society



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