128 citations · 197 across the 16 of their papers we have counts for
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math.FA2015
Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces
Luigi Ambrosio, Matthias Erbar, Giuseppe Savaré
We introduce the setting of extended metric-topological measure spaces as a general "Wiener-like" framework for optimal transport problems and nonsmooth metric analysis in infinite…
math.PR2015
From large deviations to Wasserstein gradient flows in multiple dimensions
Matthias Erbar, Jan Maas, Michiel Renger
We study the large deviation rate functional for the empirical distribution of independent Brownian particles with drift. In one dimension, it has been shown by Adams, Dirr, Peleti…