Convergence of Brownian motions on RCD(K,infty) spaces
Probability
2018-01-29 v2
Abstract
Suppose that metric measure spaces X_n=(X_n, d_n, m_n) satisfy RCD(K,infty) conditions with m_n(X_n)=1. Then the measured Gromov convergence (introduced by Gigili-Mondino-Savare '13) of X_n is equivalent to the weak convergence of the laws of Brownian motions on X_n with initial distributions m_n.
Keywords
Cite
@article{arxiv.1603.08622,
title = {Convergence of Brownian motions on RCD(K,infty) spaces},
author = {Kohei Suzuki},
journal= {arXiv preprint arXiv:1603.08622},
year = {2018}
}
Comments
Withdrawn because the content of this paper has been fully included in my new manuscript arXiv:1703.07234