On interpolation and curvature via Wasserstein geodesics
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Publication:518930
DOI10.1515/acv-2014-0040zbMath1454.58017arXiv1311.5407OpenAlexW1720795865MaRDI QIDQ518930
Publication date: 4 April 2017
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.5407
\(p\)-Wasserstein spacesFinsler interpolation inequalitiesgeneralized curvature dimensionOrlicz-Wasserstein spaces
Variational inequalities (global problems) in infinite-dimensional spaces (58E35) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)
Related Items (9)
\(q\)-heat flow and the gradient flow of the Renyi entropy in the \(p\)-Wasserstein space ⋮ On quotients of spaces with Ricci curvature bounded below ⋮ Transport maps, non-branching sets of geodesics and measure rigidity ⋮ On master test plans for the space of BV functions ⋮ A review of Lorentzian synthetic theory of timelike Ricci curvature bounds ⋮ An optimal transport formulation of the Einstein equations of general relativity ⋮ On the curvature and heat flow on Hamiltonian systems ⋮ Uniformly convex metric spaces ⋮ Independence of synthetic curvature dimension conditions on transport distance exponent
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