Spectral asymptotics for kinetic Brownian motion on locally symmetric spaces
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🧮 math.SP
math.PR
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locallyspacesbrowniancompactkineticmotionspectrumsymmetric
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We prove the strong convergence of the spectrum of the kinetic Brownian motion to the spectrum of base Laplacian for a large class of compact locally Riemannian homogeneous spaces, in particular all compact locally symmetric spaces. This generalizes recent work of Kolb--Weich--Wolf [arXiv:2011.06434] on constant curvature surfaces.
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