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math.PR2024
Concentration of information on discrete groups
Jonathan Hermon, Xiangying Huang, Francesco Pedrotti +1
Motivated by the Asymptotic Equipartition Property and its recently discovered role in the cutoff phenomenon, we initiate the systematic study of varentropy on discrete groups. Our…
math.PR2024
-optimal transport of anisotropic log-concave measures and exponential convergence in Fisher's infinitesimal model
Ksenia A. Khudiakova, Jan Maas, Francesco Pedrotti
We prove upper bounds on the -Wasserstein distance from optimal transport between strongly log-concave probability densities and log-Lipschitz perturbations. In the simpl…