most citedMonotone additive statistics on heavy-tailed convolution semigroups

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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.PR2025

On the origin of the Boltzmann distribution

Fedor Sandomirskiy, Omer Tamuz

The family of Boltzmann distributions is used in statistical mechanics to describe the distribution of states in systems with a given temperature. We give a novel characterization…