数学科学系

Department of Mathematical Sciences

A GRAPH APPROXIMATION TO THE SPECTRUM OF THE LAPLACE OPERATOR

 

题目:A GRAPH APPROXIMATION TO THE SPECTRUM OF THE LAPLACE OPERATOR

报告人: 卢金鹏 (Pennsylvania State University

时间201766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 graph Laplacian of 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