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arXiv · 1603.08622

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

Kohei Suzuki
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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.

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Kohei Suzuki. 2016-03-29. Convergence of Brownian motions on RCD(K,infty) spaces. https://arxiv.org/abs/1603.08622

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