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math.PR2026
The local product condition implies cutoff
Francesco Pedrotti, Justin Salez
In the theory of mixing times, a famously wrong conjecture predicts that a sequence of Markov processes exhibits cutoff as soon as the product of their Poincaré constant and mixing…
math.PR2026
Entropy-Wasserstein regularization, defective local concentration and a cutoff criterion beyond non-negative curvature
Francesco Pedrotti
Notions of positive curvature have been shown to imply many remarkable properties for Markov processes, in terms, e.g., of regularization effects, functional inequalities, mixing t…