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Finite entropy characterizes topological rigidity | | S. Bhattacharya
; T. Ward
; | | Date: |
4 Feb 2003 | | Journal: | Ergodic Theory and Dynamical Systems, 25, 365-373, 2005 | | Subject: | Dynamical Systems | math.DS | | Affiliation: | Tata Inst.) and T. Ward (Univ. East Anglia | | Abstract: | Let X_1 and X_2 be mixing connected algebraic dynamical systems with the Descending Chain Condition. We show that every equivariant continuous map X_1 to X_2 is affine (that is, X_2 is topologically rigid) if and only if the system X_2 has finite topological entropy. | | Source: | arXiv, math.DS/0302039 | | Services: | Forum | Review | PDF | Favorites | |
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