Lower bound in Pesin formula of C 1 interval maps*

Author:

Liao Gang

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

Publisher

IOP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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1. Entropy formula for systems with inducing schemes;Transactions of the American Mathematical Society;2022-12-01

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