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Mean topological dimension for random bundle transformations

Published online by Cambridge University Press:  20 June 2017

XIANFENG MA ,
JUNQI YANG  and
ERCAI CHEN
XIANFENG MA
Affiliation:
Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China email [email protected], [email protected]
JUNQI YANG
Affiliation:
Department of Mathematics, East China University of Science and Technology, Shanghai 200237, China email [email protected], [email protected]
ERCAI CHEN
Affiliation:
School of Mathematical Science, Nanjing Normal University, Nanjing 210097, China email [email protected] Center of Nonlinear Science, Nanjing University, Nanjing 210093, China
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Abstract

We introduce the mean topological dimension for random bundle transformations, and show that continuous bundle random dynamical systems with finite topological entropy or satisfying the small boundary property have zero mean topological dimensions.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 4 , April 2019 , pp. 1020 - 1041
Copyright
© Cambridge University Press, 2017 

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