Limit theorems for the empirical distribution of supercritical branching random walks on transitive graphs
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908827006271488 |
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| author | Kaiser, Robin Klötzer, Martin Sava-Huss, Ecaterina |
| author_facet | Kaiser, Robin Klötzer, Martin Sava-Huss, Ecaterina |
| contents | We consider supercritical branching random walks on transitive graphs and we prove a law of large numbers for the mean displacement of the ensemble of particles, and a Stam-type central limit theorem for the empirical distributions, thus answering the questions from Kaimanovich-Woess [KW23, Section 6.2]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_07633 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Limit theorems for the empirical distribution of supercritical branching random walks on transitive graphs Kaiser, Robin Klötzer, Martin Sava-Huss, Ecaterina Probability 60J80, 60F05, 60F15 We consider supercritical branching random walks on transitive graphs and we prove a law of large numbers for the mean displacement of the ensemble of particles, and a Stam-type central limit theorem for the empirical distributions, thus answering the questions from Kaimanovich-Woess [KW23, Section 6.2]. |
| title | Limit theorems for the empirical distribution of supercritical branching random walks on transitive graphs |
| topic | Probability 60J80, 60F05, 60F15 |
| url | https://arxiv.org/abs/2502.07633 |