The asymptotic behavior of the renormalized zero resolvent of Lévy processes under regular variation conditions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908814687600640 |
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| author | Yano, Kouji Zhao, Mingdong |
| author_facet | Yano, Kouji Zhao, Mingdong |
| contents | As an analogue to the explicit formula in the stable case, the asymptotic behavior at the origin of the renormalized zero resolvent of one-dimensional Lévy processes is studied under certain regular variation conditions on the Lévy-Khinchin exponent and the Lévy measure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18820 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The asymptotic behavior of the renormalized zero resolvent of Lévy processes under regular variation conditions Yano, Kouji Zhao, Mingdong Probability 60G51, 60J35, 60J45 As an analogue to the explicit formula in the stable case, the asymptotic behavior at the origin of the renormalized zero resolvent of one-dimensional Lévy processes is studied under certain regular variation conditions on the Lévy-Khinchin exponent and the Lévy measure. |
| title | The asymptotic behavior of the renormalized zero resolvent of Lévy processes under regular variation conditions |
| topic | Probability 60G51, 60J35, 60J45 |
| url | https://arxiv.org/abs/2502.18820 |