Kinetic Brownian motion on the diffeomorphism group of a closed Riemannian manifold
classification
🧮 math.PR
math-phmath.MP
keywords
browniancloseddiffeomorphismflowgroupkineticmanifoldmotion
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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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