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

Andrzej Biś. "Partial variational principle for finitely generated groups of polynomial growth and some foliated spaces." Colloquium Mathematicae 110.2 (2008): 431-449. <http://eudml.org/doc/284213>.

@article{AndrzejBiś2008,
abstract = {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.},
author = {Andrzej Biś},
journal = {Colloquium Mathematicae},
keywords = {invariant measure; measure entropy; topological entropy; finitely generated group},
language = {eng},
number = {2},
pages = {431-449},
title = {Partial variational principle for finitely generated groups of polynomial growth and some foliated spaces},
url = {http://eudml.org/doc/284213},
volume = {110},
year = {2008},
}

TY - JOUR
AU - Andrzej Biś
TI - Partial variational principle for finitely generated groups of polynomial growth and some foliated spaces
JO - Colloquium Mathematicae
PY - 2008
VL - 110
IS - 2
SP - 431
EP - 449
AB - 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.
LA - eng
KW - invariant measure; measure entropy; topological entropy; finitely generated group
UR - http://eudml.org/doc/284213
ER -