| Autor: |
Haojie Hou, Yan-Xia Ren, Renming Song |
| Rok vydání: |
2022 |
| Předmět: |
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| DOI: |
10.48550/arxiv.2206.07950 |
| Popis: |
In this paper we study the maximal position process of branching Brownian motion in random spatial environment. The random environment is given by a process $\xi = \left(\xi(x)\right)_{x\in\mathbb{R}}$ satisfying certain conditions. We show that the maximum position $M_t$ of particles alive at time $t$ satisfies a quenched strong law of large numbers and an annealed invariance principle. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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