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Relativization of dynamical properties
Authors:GuoHua Zhang
Institution:1. School of Mathematical Sciences and LMNS, Fudan University, Shanghai, 200433, China
2. School of Mathematics and Statistics, University of New South Wales, Sydney, NSW, 2052, Australia
Abstract:In the past twenty years, great achievements have been made by many researchers in the studies of chaotic behavior and local entropy theory of dynamical systems. Most of the results have been generalized to the relative case in the sense of a given factor map. In this survey we offer an overview of these developments.
Keywords:relative entropy  asymptotic pair  scrambled set  local variational principles  relative entropy tuple  relative topological Pinsker factor  relative UPE  relative CPE
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