Work

Volume growth, big jump, and essential spectrum for regular Dirichlet forms

Year: 2025

Type: article

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.

Source: Integral Equations and Operator Theory

DOI: 10.1007/s00020-025-02817-7

Author: Yuichi Shiozawa

Institution: Doshisha University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

Funder: Japan Society for the Promotion of Science London