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Continuum-wise expansivity and entropy for flows

Published online by Cambridge University Press:  28 September 2017

ALEXANDER ARBIETO ,
WELINGTON CORDEIRO  and
MARIA JOSÉ PACIFICO
ALEXANDER ARBIETO
Affiliation:
Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68.530, CEP 21.945-970, Rio de Janeiro, RJ, Brazil email [email protected], [email protected]
WELINGTON CORDEIRO
Affiliation:
IMPA, Estrada Dona Castorina, 110 CEP 22.460, Rio de Janeiro, RJ, Brazil email [email protected]
MARIA JOSÉ PACIFICO
Affiliation:
Instituto de Matemática, Universidade Federal do Rio de Janeiro, C. P. 68.530, CEP 21.945-970, Rio de Janeiro, RJ, Brazil email [email protected], [email protected]
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Abstract

We define the concept of continuum-wise expansivity for flows, and we prove that continuum-wise expansive flows on compact metric spaces with topological dimension greater than one have positive entropy.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 5 , May 2019 , pp. 1190 - 1210
Copyright
© Cambridge University Press, 2017 

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