3 citations · 4 across the 10 of their papers we have counts for
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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…
Heat flow, log-concavity, and Lipschitz transport maps
Giovanni Brigati, Francesco Pedrotti
In this paper we derive estimates for the Hessian of the logarithm (log-Hessian) for solutions to the heat equation. For initial data in the form of log-Lipschitz perturbation of s…
-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…