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math.MG2011★ 8 cited
A Lack of Ricci Bounds for the Entropic Measure on Wasserstein space over the Interval
Otis Chodosh
This is a condensed form of the author's essay, which can be found at [arXiv:1105.2883]. We prove that the entropic measure constructed by von Renesse-Sturm over Wasserstein space…
math.MG2011★ 6 cited
Optimal Transport and Ricci Curvature: Wasserstein Space Over the Interval
Otis Chodosh
In this essay, we discuss the notion of optimal transport on geodesic measure spaces and the associated (2-)Wasserstein distance. We then examine displacement convexity of the entr…