Heat kernel estimates on effective resistance metric spaces

Abstract

We obtain two-sided estimates of heat kernels on effective-resistance metric spaces by using an analytic approach. Some applications, such as on post-critically finite self-seminar sets and on products of effective resistance spaces, are given.

*Supported by National Natural Science Foundation of China (Grant Nos. 10371062, 10571104)

Keywords:

• Heat kernel
• effective resistance
• Dirichlet form
• Green's function

Notes

*Supported by National Natural Science Foundation of China (Grant Nos. 10371062, 10571104)