70 citations · 514 across the 53 of their papers we have counts for
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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…
math.AP2011★ 7 cited
Infinite Matrix Representations of Isotropic Pseudodifferential Operators
Otis Chodosh
We characterize the action of isotropic pseudodifferential operators on functions in terms of their action on Hermite functions. We show that an operator $A : S(\mathbb{R}) \to S(\…