English 清华大学 旧版入口 人才招聘

学术报告

A GRAPH APPROXIMATION TO THE SPECTRUM OF THE LAPLACE OPERATOR

题目:A GRAPH APPROXIMATION TO THE SPECTRUM OF THE LAPLACEOPERATOR

报告人: 卢金鹏 (Pennsylvania State University)

时间:2017年6月6日(周二)16:00-17:00

地点:理科楼数学系A404

摘要:In this paper I prove that the spectrum of the classical Laplace operator with the Neumann boundary condition on a compact Riemannian manifold with boundary can be approximated by the spectrum of a suitable graphLaplacianof a proximity graph on the manifold, and similar graph approximation also works for a certain type of metric-measure spaces which are glued out of compact Riemannian manifolds of the same dimension.

联系人:马辉