On the convex hull of two planar random walks
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912597417132032 |
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| author | Ivanković, Daniela Kralj, Tomislav Sandrić, Nikola Šebek, Stjepan |
| author_facet | Ivanković, Daniela Kralj, Tomislav Sandrić, Nikola Šebek, Stjepan |
| contents | In this paper, we study the limiting behavior of the perimeter and diameter functionals of the convex hull spanned by the first $n$ steps of two planar random walks. As the main results, we obtain the strong law of large numbers and the central limit theorem for the perimeter and diameter of these random sets. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17705 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the convex hull of two planar random walks Ivanković, Daniela Kralj, Tomislav Sandrić, Nikola Šebek, Stjepan Probability 60G50, 60D05, 60F05, 60F15 In this paper, we study the limiting behavior of the perimeter and diameter functionals of the convex hull spanned by the first $n$ steps of two planar random walks. As the main results, we obtain the strong law of large numbers and the central limit theorem for the perimeter and diameter of these random sets. |
| title | On the convex hull of two planar random walks |
| topic | Probability 60G50, 60D05, 60F05, 60F15 |
| url | https://arxiv.org/abs/2403.17705 |