scholarly journals Pesin’s entropy formula for $$C^1$$ C 1 non-uniformly expanding maps

2019 ◽  
Vol 291 (3-4) ◽  
pp. 1451-1494
Author(s):  
Vítor Araujo ◽  
Felipe Santos
Keyword(s):  
Expanding Maps ◽  
Entropy Formula ◽  
Pesin’S Entropy Formula

Ergodic theory for axiom A endomorphisms

1995 ◽  
Vol 15 (1) ◽  
pp. 161-174 ◽  
Author(s):  
Min Qian ◽  
Zhusheng Zhang
Keyword(s):  
Ergodic Theorem ◽  
Ergodic Theory ◽  
Axiom A ◽  
Entropy Formula ◽  
Pesin’S Entropy Formula

AbstractIn this paper the Pesin's entropy formula and ‘large ergodic theorem’ are constructed for Axiom A endomorphisms.

Stretching Generic Pesin’s Entropy Formula

2018 ◽  
Vol 173 (5) ◽  
pp. 1523-1546
Author(s):  
Mário Bessa ◽  
César M. Silva ◽  
Helder Vilarinho
Keyword(s):  
Entropy Formula ◽  
Pesin’S Entropy Formula

scholarly journals Pesin’s entropy formula for endomorphisms

1998 ◽  
Vol 150 ◽  
pp. 197-209 ◽  
Author(s):  
Pei-Dong Liu
Keyword(s):  
Compact Manifold ◽  
Smooth Measure ◽  
Entropy Formula ◽  
Pesin’S Entropy Formula

Abstract.In this paper we prove Pesin’s entropy formula for general C2 (or C1+α) (non-invertible) endomorphisms of a compact manifold preserving a smooth measure.

scholarly journals Dominated splitting and Pesin's entropy formula

2012 ◽  
Vol 32 (4) ◽  
pp. 1421-1434 ◽  
Author(s):  
Wenxiang Sun ◽  
◽  
Xueting Tian ◽  
Keyword(s):  
Dominated Splitting ◽  
Entropy Formula ◽  
Pesin’S Entropy Formula
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