Directed polymers on hierarchical lattices with site disorder

DOI10.1016/j.spa.2009.11.008zbMath1193.60118arXiv0906.0992OpenAlexW2082110012MaRDI QIDQ963033

Gregorio Moreno, Hubert Lacoin

Publication date: 8 April 2010

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.0992

zbMATH Keywords

free energydynamical systemdirected polymershierarchical models

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Renormalization group methods in equilibrium statistical mechanics (82B28) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Renormalization of holomorphic dynamical systems (37F25)

Related Items

The intermediate disorder regime for a directed polymer model on a hierarchical lattice ⋮ New bounds for the free energy of directed polymers in dimension \(1+1\) and \(1+2\) ⋮ The conditional Gaussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal ⋮ Weak-disorder limit for directed polymers on critical hierarchical graphs with vertex disorder ⋮ Nested critical points for a directed polymer on a disordered diamond lattice ⋮ Directed polymers on a disordered tree with a defect subtree ⋮ Diffusion on the scaling limit of the critical percolation cluster in the diamond hierarchical lattice ⋮ Weak-disorder limit at criticality for directed polymers on hierarchical graphs ⋮ The depinning transition in presence of disorder: a toy model ⋮ Continuum directed random polymers on disordered hierarchical diamond lattices ⋮ Localization at the boundary for conditioned random walks in random environment in dimensions two and higher ⋮ High-temperature scaling limit for directed polymers on a hierarchical lattice with bond disorder

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