分野別セミナー

講演要旨：
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.

このセミナーは力学系セミナーとの合同セミナーです。
開始時間は午後2時からです。