A Max-Type Recursive Model: Some Properties and Open Questions

DOI10.1007/978-981-15-0302-3_6zbMath1446.82024arXiv1705.04787OpenAlexW2954124350MaRDI QIDQ3297348

Zhan Shi, Xin Xing Chen, Yue Yun Hu, Bernard Derrida, Mikhail Lifshits

Publication date: 3 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.04787

zbMATH Keywords

free energysurvival probabilitycritical regimemax-type recursive model

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Phase transitions (general) in equilibrium statistical mechanics (82B26) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27)

Related Items (8)

The dual Derrida-Retaux conjecture ⋮ Particle density in diffusion-limited annihilating systems ⋮ The stable Derrida-Retaux system at criticality ⋮ An exactly solvable continuous-time Derrida-Retaux model ⋮ The Derrida-Retaux conjecture on recursive models ⋮ Results and conjectures on a toy model of depinning ⋮ The sustainability probability for the critical Derrida-Retaux model ⋮ The critical behaviors and the scaling functions of a coalescence equation

Cites Work

• Hierarchical pinning model in correlated random environment
• A survey of max-type recursive distributional equations
• The depinning transition in presence of disorder: a toy model
• Study of the iterations of a mapping associated to a spin glass model
• Effect of disorder on two-dimensional wetting
• The free energy in the Derrida-Retaux recursive model
• Hierarchical pinning models, quadratic maps and quenched disorder
• Parking on a Random Tree
• Hierarchical pinning model with site disorder: Disorder is marginally relevant

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