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Showing 2014 · math.DSShow all
3 papers · 2 filters
math.DS2014★ 1 cited
The Historic Set of Ergodic Averages in Some Nonuniformly Hyperbolic Systems
Zheng Yin, Ercai Chen, Xiaoyao Zhou
This article is devoted to the study of the historic set of ergodic averages in some nonuniformly hyperbolic systems. In particular, our results hold for the robust classes of mult…
math.DS2014
Topological pressure dimension for almost additive potentials
Lei Liu, Huajun Gong, Xiaoyao Zhou
This paper is devoted to the study of the topological pressure dimension for almost additive sequences, which is an extension of topological entropy dimension. We investigate funda…
math.DS2014
Preimage entropy dimension of topological dynamical systems
Lei Liu, Xiaomin Zhou, Xiaoyao Zhou
We propose a new definition of preimage entropy dimension for continuous maps on compact metric spaces, investigate fundamental properties of the preimage entropy dimension, and co…