We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

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.

Item Type:Article
Full text:PDF - Published Version (112Kb)
Publisher Web site:
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

Social bookmarking: del.icio.usConnoteaBibSonomyCiteULikeFacebookTwitterExport: EndNote, Zotero | BibTex
Usage statisticsLook up in GoogleScholar | Find in a UK Library