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MiS Preprint

Factor maps of collective dynamics and hyperspace entropy

Sharwin Rezagholi


Given a topological dynamical system, we consider its induced collective dynamics on the space of probability measures with the weak topology and on the hyperspace of closed subsets with the lower Vietoris topology. We show that the support of measures is a factor map between these collective dynamics, and that the topological entropy of the induced hyperspace system equals the entropy of the base system.

Jun 29, 2020
Jun 29, 2020
MSC Codes:
37B40, 37C15, 54B20, 54H20, 60B40
Hyperspace, Topological dynamics, Topological entropy

Related publications

2020 Repository Open Access
Sharwin Rezagholi

Factor maps of collective dynamics and hyperspace entropy