Partial variational principle for finitely generated groups of polynomial growth and some foliated spaces

• Autorzy: Andrzej Biś
• Języki publikacji: EN

Abstrakty

EN

We generalize the notion of topological pressure to the case of a finitely generated group of continuous maps and introduce group measure entropy. Also, we provide an elementary proof that any finitely generated group of polynomial growth admits a group invariant measure and show that for a group of polynomial growth its measure entropy is less than or equal to its topological entropy. The dynamical properties of groups of polynomial growth are reflected in the dynamics of some foliated spaces.

Kategorie tematyczne

• 37B40: Topological entropy
• 37C85: Dynamics of group actions other than 𝐙 and 𝐑 , and foliations \SeeMainly{, and also , }

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2008
• Tom: 110
• Numer: 2
• Strony: 431-449

Daty

wydano

2008

Twórcy

autor

Andrzej Biś

• Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Identyfikatory

DOI

10.4064/cm110-2-7