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math.SP2022★ 1 cited
Spectral asymptotics for kinetic Brownian motion on Riemannian manifolds
Qiuyu Ren, Zhongkai Tao
We prove the convergence of the spectrum of the generator of the kinetic Brownian motion to the spectrum of the base Laplacian for closed Riemannian manifolds. This generalizes rec…
math.SP2022
Spectral asymptotics for kinetic Brownian motion on locally symmetric spaces
Qiuyu Ren, Zhongkai Tao
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,…