The free energy in the Derrida--Retaux recursive model
arXiv:1705.03792 · doi:10.1007/s10955-018-2066-1
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.
References in corpus (9)
- Smoothing effect of quenched disorder on polymer depinning transitions
- Fractional moment bounds and disorder relevance for pinning models
- A replica-coupling approach to disordered pinning models
- Pinning of polymers and interfaces by random potentials
- Disordered pinning models and copolymers: beyond annealed bounds
- Pinning on a defect line: characterization of marginal disorder relevance and sharp asymptotics for the critical point shift
- The depinning transition in presence of disorder: a toy model
- Critical points of quadratic renormalizations of random variables and phase transitions of disordered polymer models on diamond lattices
- Numerical study of the disordered Poland-Scheraga model of DNA denaturation