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What and Who

Heat Kernel in Graphs: Our Understanding

He Sun
Max-Planck-Institut für Informatik - D1
Talk
AG 1, AG 2, AG 3, AG 4, AG 5, RG1, SWS, MMCI  
AG Audience
English

Date, Time and Location

Thursday, 15 January 2015
13:00
45 Minutes
E1 4
024
Saarbrücken

Abstract

Heat Kernel is one of the most fundamental concepts in mathematics and physics. In physics, the heat kernel is a fundamental solution of the heat equation and, through heat kernel, the Laplacian is associated with the rate of dissipation of heat.


In spectral geometry, many of the most basic techniques involve heat kernels. In finite Markov chain theory, heat kernel corresponds to continuous-time random walks and becomes the most powerful technique in estimating mixing time, etc.

In this talk, I will give an informal discussion about heat kernel in physics. I will further discuss some possible and deep connections between heat kernel and one basic concept in graph theory, which is indicated by our recent research.

No preparatory knowledge on heat kernel is required in order to follow the talk.

Contact

He Sun
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He Sun, 01/15/2015 00:18
He Sun, 01/14/2015 20:06
He Sun, 01/14/2015 11:07
He Sun, 01/04/2015 14:07
He Sun, 12/04/2014 08:38 -- Created document.