On the critical branching random walk I: Branching capacity and visiting probability
| Autor: | Zhu, Qingsan |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| Popis: | We extend the theory of discrete capacity to critical branching random walk. We introduce branching capacity for any finite subset of $\Z^d, d\geq5$. Analogous to the regular discrete capacity, branching capacity is closely related to the asymptotics of the probability of visiting a fixed finite set by a critical branching random walk starting from a distant point and the conditional distribution of the hitting point. Comment: 34pages |
| Databáze: | arXiv |
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