61 citations · 174 across the 27 of their papers we have counts for
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math.PR2015
Curvature and transport inequalities for Markov chains in discrete spaces
Max Fathi, Yan Shu
We study various transport-information inequalities under three different notions of Ricci curvature in the discrete setting: the curvature-dimension condition of Bakry and Émery,…
math.PR2015★ 1 cited
The gradient flow approach to hydrodynamic limits for the simple exclusion process
Max Fathi, Marielle Simon
We give a new approach to the well-known convergence to the hydrodynamic limit for the symmetric simple exclusion process (SSEP). More precisely, we characterize any possible limit…
math.PR2015★ 61 cited
Entropic Ricci curvature bounds for discrete interacting systems
Max Fathi, Jan Maas
We develop a new and systematic method for proving entropic Ricci curvature lower bounds for Markov chains on discrete sets. Using different methods, such bounds have recently been…