Volume growth, big jump, and essential spectrum for regular Dirichlet forms
Probability
2025-04-01 v1 Functional Analysis
Abstract
We establish an upper bound of the bottom of the essential spectrum for the generator associated with a regular Dirichlet form in terms of the rates of the volume growth/decay and big jump. Using this bound, we discuss how the bottom of the essential spectrum is affected by the volume growth and coefficient growth.
Cite
@article{arxiv.2503.22899,
title = {Volume growth, big jump, and essential spectrum for regular Dirichlet forms},
author = {Yuichi Shiozawa},
journal= {arXiv preprint arXiv:2503.22899},
year = {2025}
}