Non-zero Lyapunov exponents and uniform hyperbolicity

Details Non-zero Lyapunov exponents and uniform hyperbolicity Non-zero Lyapunov exponents and uniform hyperbolicity

Jul 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003nonli..16.1473c&link_type=abstract

Nonlinearity, Volume 16, Issue 4, pp. 1473-1479 (2003).

Mathematics

Probability

6

Scientific paper

In this paper, we proved that if f is a C1 local
diffeomorphism such that the Lyapunov exponents of every f invariant
probability measure are positive, then f is uniformly expanding. We also
present a version of this result for diffeomorphism with a non-uniformly
hyperbolic set.

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