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.