Poisson-Pinsker factor and infinite measure preserving group actions

Faithful, transitive, amenable actions of a group G by automorphisms of a locally finite connected graph with infinitely many ends were considered in [34].. It is proved in this

A finite word u is a left special factor of a finite or infinite word w if there exist at least two distinct letters a and b such that both words au and bu occur in w.. Fici [10],

We use Theorem A to show that a Zariski-dense symmetric random walk on a homogeneous space G{Λ of infinite volume is transient in law (Theorem B).. The difficulty lies in the fact

Surprisingly, ID-disjointness mixed with the theory of Gaussian dynamical systems allows us to derive a new result on spectral theory of infinite ergodic measure preserving

Thom- spon’s group F , which is the smallest of the three classical Thompson groups F, T, V (first introduced by McKenzie and Thompson [29], see [7] for an introduction), is

Abstract: This paper deals with random walks on isometry groups of Gromov hyperbolic spaces, and more precisely with the dimension of the harmonic measure ν associated with such

The Series coding does in fact have the strict irreducibility property, and pointwise convergence of Ces`aro averages of uniform spherical averages for measure-preserving actions

What we really need for our proof is a weaker corollary of this theorem, origi- nally proved by Ageev [A2], namely the fact that if g is a generic element of G then any finite