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Kinetic Brownian motion on the diffeomorphism group of a closed Riemannian manifold (1905.04103v1)

Published 10 May 2019 in math.PR, math-ph, and math.MP

Abstract: We define kinetic Brownian motion on the diffeomorphism group of a closed Riemannian manifold, and prove that it provides an interpolation between the hydrodynamic flow of a fluid and a Brownian-like flow.

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