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Pesin’s entropy formula for endomorphisms

Published online by Cambridge University Press:  22 January 2016

Pei-Dong Liu*
Affiliation:
Department of Mathematics and Institute of Mathematics, Peking University, Beijing 100871, P. R., China, lpd@sxxO.math.pku.edu.cn
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Abstract.

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In this paper we prove Pesin’s entropy formula for general C 2 (or C 1+α) (non-invertible) endomorphisms of a compact manifold preserving a smooth measure.

Information

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1998