论文标题
在局部对称空间上的动力学布朗运动的光谱渐近学
Spectral asymptotics for kinetic Brownian motion on locally symmetric spaces
论文作者
论文摘要
我们证明了动力学布朗运动的频谱与基础拉普拉斯谱的光谱的强烈收敛，这对于一大批紧凑的局部riemannian同质空间，尤其是所有紧凑的局部对称空间。这概括了Kolb-Weich-狼的最新工作[Arxiv：2011.06434]在恒定的曲率表面上。
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.
