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.
Domains
Probability [math.PR]Origin | Files produced by the author(s) |
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