Rate of escape of the conditioned two-dimensional simple random walk
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909183314493440 |
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| author | Collin, Orphée Popov, Serguei |
| author_facet | Collin, Orphée Popov, Serguei |
| contents | We prove sharp asymptotic estimates for the rate of escape of the two-dimensional simple random walk conditioned to avoid a fixed finite set. We derive it from asymptotics available for the continuous analogue of this process (cf arXiv:2102.09636), with the help of a KMT-type coupling adapted to this setup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_08761 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Rate of escape of the conditioned two-dimensional simple random walk Collin, Orphée Popov, Serguei Probability We prove sharp asymptotic estimates for the rate of escape of the two-dimensional simple random walk conditioned to avoid a fixed finite set. We derive it from asymptotics available for the continuous analogue of this process (cf arXiv:2102.09636), with the help of a KMT-type coupling adapted to this setup. |
| title | Rate of escape of the conditioned two-dimensional simple random walk |
| topic | Probability |
| url | https://arxiv.org/abs/2306.08761 |