Spectral asymptotics for kinetic Brownian motion on locally symmetric spaces

2022/08/28 by Ren, Qiuyu, Tao, Zhongkai
#35P99 #53C30 #53C35 #58J50 #FOS: Mathematics #Probability (math.PR) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.2208.13111

Abstract

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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