Abstract
Abstract
We prove that the lower bound in Pesin formula holds for any integrable absolutely continuous invariant measure of a piecewise C
1 interval map, i.e., the metric entropy is bounded from below by the Lyapunov exponent. Consequently, Pesin formula holds whenever Ruelle inequality is valid.
Funder
National Natural Science Foundation of China
Tang Scholar
IEPJ
Natural Science Foundation of Jiangsu Province
Subject
Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics
Cited by
1 articles.
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1. Entropy formula for systems with inducing schemes;Transactions of the American Mathematical Society;2022-12-01