most citedA new cutoff criterion for non-negatively curved chains

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math.PR2025★ 1 cited

A new cutoff criterion for non-negatively curved chains

Francesco Pedrotti, Justin Salez

The cutoff phenomenon was recently shown to systematically follow from non-negative curvature and the product condition, for all Markov diffusions. The proof crucially relied on a…

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…