Volume growth, big jump, and essential spectrum for regular Dirichlet forms
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915218568773632 |
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| author | Shiozawa, Yuichi |
| author_facet | Shiozawa, Yuichi |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_22899 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Volume growth, big jump, and essential spectrum for regular Dirichlet forms Shiozawa, Yuichi Probability Functional Analysis 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. |
| title | Volume growth, big jump, and essential spectrum for regular Dirichlet forms |
| topic | Probability Functional Analysis |
| url | https://arxiv.org/abs/2503.22899 |