Heat Kernels on Manifolds, Graphs and Fractals

Abstract

We consider heat kernels on different spaces such as Riemannian manifolds, graphs, and abstract metric measure spaces including fractals. The talk is an overview of the relationships between the heat kernel upper and lower bounds and the geometric properties of the underlying space. As an application, some estimate of higher eigenvalues of the Dirichlet problem is considered.

Identifiers

DOI

10.1007/978-3-0348-8268-2_22

Citations and references