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math.PR2019
Concentration of measure, classification of submeasures, and dynamics of
Friedrich Martin Schneider, Sławomir Solecki
Exhibiting a new type of measure concentration, we prove uniform concentration bounds for measurable Lipschitz functions on product spaces, where Lipschitz is taken with respect to…
math.FA2019
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-…