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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2310.05482 |
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| _version_ | 1866914705995464704 |
|---|---|
| author | Takeuchi, Yutaka |
| author_facet | Takeuchi, Yutaka |
| contents | Reflecting diffusions on continuum percolation clusters are considered. Assuming that the occupied region has a unique unbounded cluster and the cluster satisfies geometrical conditions such as volume regularity, isoperimetric conditions, and a hole size condition, we prove a quenched local central limit theorem for reflecting diffusions on the cluster. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_05482 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Local Central Limit Theorem for Reflecting Diffusions in a Continuum Percolation Cluster Takeuchi, Yutaka Probability Analysis of PDEs Reflecting diffusions on continuum percolation clusters are considered. Assuming that the occupied region has a unique unbounded cluster and the cluster satisfies geometrical conditions such as volume regularity, isoperimetric conditions, and a hole size condition, we prove a quenched local central limit theorem for reflecting diffusions on the cluster. |
| title | Local Central Limit Theorem for Reflecting Diffusions in a Continuum Percolation Cluster |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2310.05482 |