Kinetic Brownian motion on the diffeomorphism group of a closed Riemannian manifold

2019/05/10 by Angst, J., Bailleul, I., Perruchaud, P.
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.1905.04103

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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