Directed polymers on trees: a martingale approach

DOI10.1088/0305-4470/26/8/011zbMath0773.60035OpenAlexW2057506361MaRDI QIDQ5288399

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Publication date: 19 September 1993

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

Full work available at URL: https://doi.org/10.1088/0305-4470/26/8/011

zbMATH Keywords

Laplace transformmartingale methodsrandom potentials

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Martingales and classical analysis (60G46)

Related Items (16)

Euler walk on a Cayley tree ⋮ From random walks to spin glasses ⋮ The intermediate disorder regime for a directed polymer model on a hierarchical lattice ⋮ The phase diagram of a directed polymer in random media with \(p\)-spin ferromagnetic interactions ⋮ Free energy subadditivity for symmetric random Hamiltonians ⋮ Random polymers on the complete graph ⋮ Disordered pinning models and copolymers: Beyond annealed bounds ⋮ Searching for a trail of evidence in a maze ⋮ Directed polymers on a disordered tree with a defect subtree ⋮ Directed polymers on hierarchical lattices with site disorder ⋮ Fractional moment bounds and disorder relevance for pinning models ⋮ Directed polymers on infinite graphs ⋮ Minimal supporting subtrees for the free energy of polymers on disordered trees ⋮ Unnamed Item ⋮ Marginal relevance of disorder for pinning models ⋮ Mean field theory of directed polymers with random complex weights

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