Algebraic and topological entropy of group actions

  • Simone Virili June
  • Published 2013

Abstract

Let G be a set and let s be a net of finite subsets of G. If pS, vq is a pre-normed semigroup, that is, a semigroup S together with a non-negative real-valued function v, we introduce a notion of s-entropy for dynamical systems of the form G S Ñ S. After showing that many dynamical invariants in the literature (for example, mean topological dimension… (More)

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