18 citations · 91 across the 28 of their papers we have counts for
5 papers · 1 filter
Whirliness beyond amenability
Yannik Höll, Friedrich Martin Schneider
Given a non-atomic standard probability space , we exhibit examples of non-amenable closed topological subgroups of whose natural near-action on …
Concentration of invariant means and dynamics of chain stabilizers in continuous geometries
Friedrich Martin Schneider
We prove a concentration inequality for invariant means on topological groups, namely for such adapted to a chain of amenable topological subgroups. The result is based on an appli…
The Liouville property and random walks on topological groups
Friedrich Martin Schneider, Andreas Thom
We study harmonic functions and Poisson boundaries for Borel probability measures on general (i.e., not necessarily locally compact) topological groups, and we prove that a second-…
Equivariant concentration in topological groups
Friedrich Martin Schneider
We prove that, if is a second-countable topological group with a compatible right-invariant metric and is a sequence of compactly supported Bor…
On amenability and groups of measurable maps
Vladimir G. Pestov, Friedrich Martin Schneider
We show that if is an amenable topological group, then the topological group of strongly measurable maps from into endowed with the topology of conve…