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2019 Convergence of Brownian motions on metric measure spaces under Riemannian Curvature–Dimension conditions
Kohei Suzuki
Electron. J. Probab. 24: 1-36 (2019). DOI: 10.1214/19-EJP346

Abstract

We show that the pointed measured Gromov convergence of the underlying spaces implies (or under some condition, is equivalent to) the weak convergence of Brownian motions under Riemannian Curvature-Dimension conditions.

Citation

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Kohei Suzuki. "Convergence of Brownian motions on metric measure spaces under Riemannian Curvature–Dimension conditions." Electron. J. Probab. 24 1 - 36, 2019. https://doi.org/10.1214/19-EJP346

Information

Received: 1 February 2018; Accepted: 23 July 2019; Published: 2019
First available in Project Euclid: 26 September 2019

zbMATH: 07142896
MathSciNet: MR4017120
Digital Object Identifier: 10.1214/19-EJP346

Subjects:
Primary: 60F17
Secondary: 53C23

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Vol.24 • 2019
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