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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | https://arxiv.org/abs/2412.05030 |
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| _version_ | 1866910747156545536 |
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| author | Kushida, Ryuto |
| author_facet | Kushida, Ryuto |
| contents | In this paper, we consider subordinate symmetric Markov processes which correspond to non-killing Dirichlet forms enjoying heat kernel estimates on a metric measure space with the volume doubling property. We obtain estimates of the jump kernel of the subordinate process and establish equivalent conditions for the jump kernel following Liu-Murugan. In particular, we clarify the scale of the jump kernel, which is different from the diffusion type. This result is appliable to non-subordinate processes by the transferring method, which uses stability of Dirichlet forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05030 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characterization of subordinate symmetric Markov processes Kushida, Ryuto Probability 60J76, 31C25, 31E05 In this paper, we consider subordinate symmetric Markov processes which correspond to non-killing Dirichlet forms enjoying heat kernel estimates on a metric measure space with the volume doubling property. We obtain estimates of the jump kernel of the subordinate process and establish equivalent conditions for the jump kernel following Liu-Murugan. In particular, we clarify the scale of the jump kernel, which is different from the diffusion type. This result is appliable to non-subordinate processes by the transferring method, which uses stability of Dirichlet forms. |
| title | Characterization of subordinate symmetric Markov processes |
| topic | Probability 60J76, 31C25, 31E05 |
| url | https://arxiv.org/abs/2412.05030 |