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arxiv: 2208.13111 · v1 · pith:BPFKRMV3new · submitted 2022-08-28 · 🧮 math.SP · math.PR

Spectral asymptotics for kinetic Brownian motion on locally symmetric spaces

classification 🧮 math.SP math.PR
keywords 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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