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arXiv:1509.02025 [math.PR]AbstractReferencesReviewsResources

Convergence of Brownian motions on RCD*(K,N) spaces

Kohei Suzuki

Published 2015-09-07Version 1

Suppose that a sequence of metric measure spaces X_n=(X_n, d_n, m_n) satisfies RCD*(K,N) with Diam(X_n) <D and m_n(X_n)=1. Then Sturm's D-convergence of X_n is equivalent to the weak convergence of the laws of Brownian motions on X_n.

Comments: 32 pages
Categories: math.PR, math.MG
Subjects: 60F17, 53C23
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