Dimensional contraction via Markov transportation distance
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Publication:2874661
DOI10.1112/jlms/jdu027zbMath1312.47055arXiv1304.1929OpenAlexW2138343818MaRDI QIDQ2874661
François Bolley, Ivan Gentil, Arnaud Guillin
Publication date: 8 August 2014
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.1929
heat semigroupWasserstein distancecurvature- dimension conditiondimensional contractionMarkov transportation distance
Continuous-time Markov processes on general state spaces (60J25) Markov semigroups and applications to diffusion processes (47D07) Diffusion processes (60J60)
Related Items (9)
Distances between transition probabilities of diffusions and applications to nonlinear Fokker-Planck-Kolmogorov equations ⋮ \((K,N)\)-convexity and the curvature-dimension condition for negative \(N\) ⋮ Space-time Wasserstein controls and Bakry-Ledoux type gradient estimates ⋮ On the equivalence of the entropic curvature-dimension condition and Bochner's inequality on metric measure spaces ⋮ Dimensional improvements of the logarithmic Sobolev, Talagrand and Brascamp-Lieb inequalities ⋮ Dynamical aspects of the generalized Schrödinger problem via Otto calculus -- a heuristic point of view ⋮ Dimensional contraction in Wasserstein distance for diffusion semigroups on a Riemannian manifold ⋮ Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups ⋮ Asymptotics of smoothed Wasserstein distances
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