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Far East Journal of Dynamical Systems

Far East Journal of Dynamical Systems
Volume 30, Issue 2, Pages 37 - 58 (June 2018)
http://dx.doi.org/10.17654/DS030020037

ON ENTROPIES AND COMPLEXITY FOR AMENABLE ACTIONS GROUPS

A. M. MesÃ³n and F. Vericat

Abstract:

We consider a definition of entropy for discrete amenable action groups and extend the equality between entropy and dimension for amenable groups. This last result was proved by Simpson for the special case of Z^d-actions.

Keywords and phrases:

entropy, complexity, amenable actions groups.

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