A Monotone Approximation to the Wasserstein Diffusion
Sturm, Karl-Theodor
arXiv, 1105.3963 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2011-05-18
Classification:  Mathematics - Probability 
@article{1105.3963,
     author = {Sturm, Karl-Theodor},
     title = {A Monotone Approximation to the Wasserstein Diffusion},
     journal = {arXiv},
     volume = {2011},
     number = {0},
     year = {2011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1105.3963}
}

Sturm, Karl-Theodor. A Monotone Approximation to the Wasserstein Diffusion. arXiv, Tome 2011 (2011) no. 0, . http://gdmltest.u-ga.fr/item/1105.3963/