The Free Energy in the Derrida–Retaux Recursive Model

2017/05/31 by Yueyun Hu, Zhan Shi · 11 citations
Mathematics · Physics and Astronomy · #Context (archaeology) #Energy (signal processing) #Exponent #Range (aeronautics) #Simple (philosophy) #Stochastic processes and statistical mechanics #Supercritical fluid #Theoretical and Computational Physics #advanced mathematical theories #math.PR

paper · pdf · doi:10.1007/s10955-018-2066-1

published in Journal of Statistical Physics 172(3), 718-741 (Springer Science+Business Media)

openalex created_date 2017/10/06 · arxiv created 2018/05/17 · openalex publication_date 2018/05/26 · arxiv updated 2018/07/04 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Quenched and Annealed Critical Points in Polymer Pinning Models
• A Replica-Coupling Approach to Disordered Pinning Models
• A survey of max-type recursive distributional equations
• Critical points of quadratic renormalizations of random variables and phase transitions of disordered polymer models on diamond lattices
• Disordered pinning models and copolymers: Beyond annealed bounds