Critical parameters of germ-monotone families of branching random walks
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866910031660711936 |
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| author | Bertacchi, Daniela Zucca, Fabio |
| author_facet | Bertacchi, Daniela Zucca, Fabio |
| contents | We introduce a broad class of families of branching random walks on a set $X$. The processes in each family are parametrized by a positive parameter $λ$ and they are monotonically increasing in $λ$ with respect to the germ order, a notion that extends classical stochastic domination. We define a general notion of critical parameter $λ(A)$ associated with a subset $A \subseteq X$ and investigate how modifications of reproduction laws affect these critical parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21062 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Critical parameters of germ-monotone families of branching random walks Bertacchi, Daniela Zucca, Fabio Probability 60J05, 60J80 We introduce a broad class of families of branching random walks on a set $X$. The processes in each family are parametrized by a positive parameter $λ$ and they are monotonically increasing in $λ$ with respect to the germ order, a notion that extends classical stochastic domination. We define a general notion of critical parameter $λ(A)$ associated with a subset $A \subseteq X$ and investigate how modifications of reproduction laws affect these critical parameters. |
| title | Critical parameters of germ-monotone families of branching random walks |
| topic | Probability 60J05, 60J80 |
| url | https://arxiv.org/abs/2602.21062 |