32 citations · 154 across the 12 of their papers we have counts for
Showing 2014 · math.MGShow all
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math.MG2014★ 10 cited
Uniformly convex metric spaces
Martin Kell
In this paper the theory of uniformly convex metric spaces is developed. These spaces exhibit a generalized convexity of the metric from a fixed point. Using a (nearly) uniform con…
math.MG2014★ 16 cited
A notion of nonpositive curvature for general metric spaces
Miroslav Bačák, Bobo Hua, Jürgen Jost +2
We introduce a new definition of nonpositive curvature in metric spaces and study its relationship to the existing notions of nonpositive curvature in comparison geometry. The main…
math.MG2014
q-heat flow and the gradient flow of the Renyi entropy in the p-Wasserstein space
Martin Kell
Based on the idea of a recent paper by Ambrosio-Gigli-Savaré in Invent. Math. (2013), we show that flow of the -Cheeger energy, called -heat flow, solves the gradient flow pr…