Geodesic
Partial variational principle for finitely generated groups of polynomial growth and some foliated spaces
Andrzej Biś1
1 Faculty of Mathematics University of Łódź Banacha 22 90-238 Łódź, Poland
Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 431-449

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/cm110-2-7
Keywords: generalize notion topological pressure finitely generated group continuous maps introduce group measure entropy provide elementary proof finitely generated group polynomial growth admits group invariant measure group polynomial growth its measure entropy equal its topological entropy dynamical properties groups polynomial growth reflected dynamics foliated spaces

Andrzej Biś 1

1 Faculty of Mathematics University of Łódź Banacha 22 90-238 Łódź, Poland 
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Andrzej Biś. Partial variational principle for finitely
 generated groups of polynomial growth and
 some foliated spaces. Colloquium Mathematicum, Tome 110 (2008) no. 2, pp. 431-449. doi: 10.4064/cm110-2-7

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