arXiv Analytics

Sign in

arXiv:1603.08622 [math.PR]AbstractReferencesReviewsResources

Convergence of Brownian motions on RCD(K,infty) spaces

Kohei Suzuki

Published 2016-03-29Version 1

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.

Comments: 15 pages. arXiv admin note: substantial text overlap with arXiv:1509.02025
Categories: math.PR
Subjects: 60F17, 53C23
Related articles: Most relevant | Search more
arXiv:1509.02025 [math.PR] (Published 2015-09-07)
Convergence of Brownian motions on RCD*(K,N) spaces
arXiv:1703.07234 [math.PR] (Published 2017-03-21)
Convergence of Brownian Motions on Metric Measure Spaces Under Riemannian Curvature-Dimension Conditions
arXiv:1304.5113 [math.PR] (Published 2013-04-18)
A note on weak convergence of the sequential multivariate empirical process under strong mixing

Links

Toolbox