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math.PR2023
Asymptotic Renyi Entropies of Random Walks on Groups
Kimberly Golubeva, Minghao Pan, Omer Tamuz
We introduce asymptotic Rényi entropies as a parameterized family of invariants for random walks on groups. These invariants interpolate between various well-studied properties of…
math.PR2023
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…