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math.PR2019★ 1 cited
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…
math.PR2019★ 4 cited
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…