536 citations · 1.4k across the 67 of their papers we have counts for
6 papers · 1 filter
Monotone additive statistics on heavy-tailed convolution semigroups
Tobias Fritz, Xiaosheng Mu, Omer Tamuz
We study sub-semigroups of the semigroup of probability measures on and monotone additive statistics on them, by which we mean maps to the reals that are monotone with…
Characteristic measures of symbolic dynamical systems
Joshua Frisch, Omer Tamuz
A probability measure is a characteristic measure of a topological dynamical system if it is invariant to the automorphism group of the system. We show that zero entropy shifts alw…
From Blackwell Dominance in Large Samples to Renyi Divergences and Back Again
Xiaosheng Mu, Luciano Pomatto, Philipp Strack +1
We study repeated independent Blackwell experiments; standard examples include drawing multiple samples from a population, or performing a measurement in different locations. In th…
Additive Conjugacy and the Bohr Compactification of Orthogonal Representations
Zachary Chase, Wade Hann-Caruthers, Omer Tamuz
We say that two unitary or orthogonal representations of a finitely generated group are additive conjugates if they are intertwined by an additive map, which need not be contin…
Unfriendly colorings of graphs with finite average degree
Clinton T. Conley, Omer Tamuz
In an unfriendly coloring of a graph the color of every node mismatches that of the majority of its neighbors. We show that every probability measure preserving Borel graph with fi…
On the spectrum of asymptotic entropies of random walks
Omer Tamuz, Tianyi Zheng
Given a random walk on a free group, we study the random walks it induces on the group's quotients. We show that the spectrum of asymptotic entropies of the induced random walks ha…