Volume growth, big jump, and essential spectrum for regular Dirichlet forms
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.
Authors
- Yuichi Shiozawa (ORCID: https://orcid.org/0000-0002-2665-9423)
Institutions
- Doshisha University (JP)
Publication Details
- Journal
- Integral Equations and Operator Theory
- Published
- 2025-11-06
- DOI
- https://doi.org/10.1007/s00020-025-02817-7
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 0.00