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20102025
most citedRicci curvature of finite Markov chains via convexity of the entropy

128 citations · 197 across the 16 of their papers we have counts for

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Showing 2012Show all

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math.FA2012

Gradient flow structures for discrete porous medium equations

Matthias Erbar, Jan Maas

We consider discrete porous medium equations of the form \partial_t ρ_t = Δϕ(ρ_t), where Δis the generator of a reversible continuous time Markov chain on a finite set X, and ϕis a…

math.PR2012

Gradient flows of the entropy for jump processes

Matthias Erbar

We introduce a new transportation distance between probability measures that is built from a Lévy jump kernel. It is defined via a non-local variant of the Benamou-Brenier formula.…