Spectral asymptotics for kinetic Brownian motion on locally symmetric spaces

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...

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Bibliographic Details
Main Authors Ren, Qiuyu, Tao, Zhongkai
Format Journal Article
LanguageEnglish
Published 27.08.2022
Subjects
Mathematics - Probability
Mathematics - Spectral Theory
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Summary: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.
DOI:10.48550/arxiv.2208.13111