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- W4298049152 abstract "Von Renesse and the author (Ann. Prob. '09) developed a second order calculus on the Wasserstein space P([0,1]) of probability measures on the unit interval. The basic objects of interest had been Dirichlet form, semigroup and continuous Markov process, called Wasserstein diffusion. The goal of this paper is to derive approximations of these objects on the infinite dimensional space P([0, 1]) in terms of appropriate objects on finite dimensional spaces. In particular, we will approximate the Wasserstein diffusion in terms of interacting systems of Brownian motions." @default.
- W4298049152 created "2022-10-01" @default.
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- W4298049152 date "2011-05-18" @default.
- W4298049152 modified "2023-09-30" @default.
- W4298049152 title "A Monotone Approximation to the Wasserstein Diffusion" @default.
- W4298049152 doi "https://doi.org/10.48550/arxiv.1105.3963" @default.
- W4298049152 hasPublicationYear "2011" @default.
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