summary：

We employ the Thermodynamic Formalism to investigate the skew product dynamics

given by a Markov shift whose symbols act on a countable group by multiplication.

We show that each recurrent symmetric Hölder continuous potential on the Markov shift

carries full topological pressure with respect to the skew product dynamics.

In particular, we obtain in this case, that the group is amenable, and that

the associated conservative eigenmeasure of the Ruelle-Perron-Frobenius operator

is a product measure.

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##### IMI(Institute of Mathematics for Industry)

# Seminar

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## On Recurrence of Random Walks on Groups driven by a symmetric Gibbs measure

Hold Date | 2012-06-15 14:00～2012-06-15 17:00 | |

Place | Seminar Room 3, Faculty of Mathematics building, Ito Campus | |

Object person | ||

Speaker | Johannes Jaerisch (Osaka University) | |