Geometry on the Wasserstein space over a compact Riemannian manifold
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Publication:2154589
DOI10.1007/s10473-021-0612-4OpenAlexW3212075665WikidataQ115384359 ScholiaQ115384359MaRDI QIDQ2154589
Publication date: 20 July 2022
Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.00910
Levi-Civita connectionparallel translationsconstant vector fieldsMckean-Vlasov equationsmeasures having divergence
Probabilistic potential theory (60J45) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)
Cites Work
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- On the inverse implication of Brenier-McCann theorems and the structure of \((\mathcal P_{2}(M),W_{2})\)
- Equations différentielles sur l'espace de Wiener et formules de Cameron- Martin non-linéaires
- Fokker-Planck equation with respect to heat measures on loop groups
- Some geometric calculations on Wasserstein space
- Construction of the parallel transport in the Wasserstein space
- On the strong \(L^p\)-Hodge decomposition over complete Riemannian manifolds
- Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality
- \(W\)-entropy formulas on super Ricci flows and Langevin deformation on Wasserstein space over Riemannian manifolds
- A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
- Image-dependent conditional McKean-Vlasov SDEs for measure-valued diffusion processes
- Ricci curvature for metric-measure spaces via optimal transport
- Mean-field stochastic differential equations and associated PDEs
- On the geometry of metric measure spaces. I
- THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION
- Transport inequalities, gradient estimates, entropy and Ricci curvature
- Polar factorization and monotone rearrangement of vector‐valued functions
- Optimal Transport
- Polar factorization of maps on Riemannian manifolds
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