Minimal supporting subtrees for the free energy of polymers on disordered trees

DOI10.1063/1.2962981zbMath1159.81333arXiv0806.3430OpenAlexW2077600901MaRDI QIDQ3624663

Marcel Ortgiese, Peter Mörters

Publication date: 30 April 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.3430

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (5)

The intermediate disorder regime for a directed polymer model on a hierarchical lattice ⋮ Hausdorff and packing spectra, large deviations, and free energy for branching random walks in \({\mathbb{R}^d}\) ⋮ First order transition for the branching random walk at the critical parameter ⋮ Directed polymers on a disordered tree with a defect subtree ⋮ Statistical mechanics of logarithmic REM: duality, freezing and extreme value statistics of 1/fnoises generated by Gaussian free fields

Cites Work

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• Measure change in multitype branching
• Ergodic theory on Galton—Watson trees: speed of random walk and dimension of harmonic measure
• Directed polymers on trees: a martingale approach

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