Preprints, Working Papers, ... Year : 2025

THE DERRIDA-RETAUX MODEL ON A GEOMETRIC GALTON-WATSON TREE

Abstract

We consider a generalized Derrida-Retaux model on a Galton-Watson tree with a geometric offspring distribution. For a class of recursive systems, including the Derrida-Retaux model with either a geometric or exponential initial distribution, we characterize the critical curve using an involution-type equation and prove that the free energy satisfies the Derrida-Retaux conjecture.
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Dates and versions

hal-04929519 , version 1 (04-02-2025)

Identifiers

  • HAL Id : hal-04929519 , version 1

Cite

Gerold Alsmeyer, Yueyun Hu, Bastien Mallein. THE DERRIDA-RETAUX MODEL ON A GEOMETRIC GALTON-WATSON TREE. 2025. ⟨hal-04929519⟩
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