The free energy in the Derrida--Retaux recursive model

Yueyun Hu (1) , Zhan Shi (2)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

We are interested in a simple max-type recursive model studied by Derrida and Retaux (2014) in the context of a physics problem, and find a wide range for the exponent in the free energy in the nearly supercritical regime.

Mots clés: Renormalisation model; Max-type recursive model; free energy 2010 Mathematics Subject Classification 60J80; free energy.; 82B44

Domaines: Probabilités [math.PR]

Yueyun Hu, Zhan Shi. The free energy in the Derrida--Retaux recursive model. Journal of Statistical Physics, 2018, 172 (718-741), ⟨10.1007/s10955-018-2066-1⟩. ⟨hal-01519983v3⟩