The existence of geodesics in Wasserstein spaces over path groups and loop groups

DOI10.1016/j.spa.2018.02.009zbMath1403.60069arXiv1802.10226OpenAlexW2963641136MaRDI QIDQ1756959

Jing Hai Shao

Publication date: 28 December 2018

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.10226

zbMATH Keywords

loop groupsheat kernel measureMonge-Kantorovich problempinned Wiener measurepath groups

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Variational problems in a geometric measure-theoretic setting (49Q20) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Global Riemannian geometry, including pinching (53C20)

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