Characterizes the critical curve of the Derrida-Retaux model on geometric Galton-Watson trees using an involution-type equation and proves the free energy satisfies the conjecture for geometric or exponential initial distributions.
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The Derrida-Retaux model on a geometric Galton-Watson tree
Characterizes the critical curve of the Derrida-Retaux model on geometric Galton-Watson trees using an involution-type equation and proves the free energy satisfies the conjecture for geometric or exponential initial distributions.