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Limit theorems for the empirical distribution of supercritical branching random walks on transitive graphs

Robin Kaiser et al.

Electronic Journal of Probability2026https://doi.org/10.1214/26-ejp1504article
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Abstract

We consider supercritical branching random walks on infinite 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].

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https://doi.org/https://doi.org/10.1214/26-ejp1504

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@article{robin2026,
  title        = {{Limit theorems for the empirical distribution of supercritical branching random walks on transitive graphs}},
  author       = {Robin Kaiser et al.},
  journal      = {Electronic Journal of Probability},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.1214/26-ejp1504},
}

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Limit theorems for the empirical distribution of supercritical branching random walks on transitive graphs

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0.50

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F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
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