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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2406.16800 |
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| _version_ | 1866929398033154048 |
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| author | Bobrowski, Adam Ratajczyk, Elżbieta |
| author_facet | Bobrowski, Adam Ratajczyk, Elżbieta |
| contents | By analyzing matrices involved, we prove that a snapping-out Brownian motion with large permeability coefficients is a good approximation of Walsh's spider process on the star-like graph $K_{1,k}$. Thus, the latter process can be seen as a Brownian motion perturbed by a trace of semi-permeable membrane at the graph's center. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16800 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | From snapping out Brownian motions to Walsh's spider processes on star-like graphs Bobrowski, Adam Ratajczyk, Elżbieta Probability By analyzing matrices involved, we prove that a snapping-out Brownian motion with large permeability coefficients is a good approximation of Walsh's spider process on the star-like graph $K_{1,k}$. Thus, the latter process can be seen as a Brownian motion perturbed by a trace of semi-permeable membrane at the graph's center. |
| title | From snapping out Brownian motions to Walsh's spider processes on star-like graphs |
| topic | Probability |
| url | https://arxiv.org/abs/2406.16800 |