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 Web site:||http://dx.doi.org/10.1017/S0143385704000501|
|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) http://journals.cambridge.org/action/displayJournal?jid=ETS|
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|Last Modified:||08 Nov 2012 11:10|
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