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Reinforced Galton–Watson processes II: Large time behaviors

Year: 2025

Type: article

Abstract: Reinforced Galton–Watson processes have been introduced in (Random Structures Algorithms 65 (2024) 387–410) as population models with nonoverlapping generations, such that reproduction events along genealogical lines can be repeated at random. We investigate here some of their sample path properties such as asymptotic growth rates and survival, for which the effects of reinforcement on the evolution appear quite strikingly.

Source: Zurich Open Repository and Archive (University of Zurich)

DOI: 10.5167/uzh-277472

Authors: Bertoin, Jean, Mallein, Bastien

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6929851861

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