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Finite entropy characterizes topological rigidity on connected groups.

Bhattacharya, S. and Ward, T. (2005) 'Finite entropy characterizes topological rigidity on connected groups.', Ergodic theory and dynamical systems., 25 (2). pp. 365-373.


Let X, Y be mixing connected algebraic dynamical systems with the Descending Chain Condition. We show that every equivariant continuous map from X to Y is affine (that is, Y is topologically rigid) if and only if the system Y has finite topological entropy.

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Publisher statement:© Copyright Cambridge University Press 2005. This paper has been published by Cambridge University Press in "Ergodic theory and dynamical systems" (25: 2 (2005) 365-373)
Record Created:18 Oct 2012 16:35
Last Modified:08 Nov 2012 11:10

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