Overlaps and pathwise localization in the Anderson polymer model

DOI10.1016/j.spa.2013.02.010zbMath1290.60102arXiv1107.2011OpenAlexW2949819113MaRDI QIDQ2444650

Francis Comets, Michael Craig Cranston

Publication date: 10 April 2014

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

Full work available at URL: https://arxiv.org/abs/1107.2011

zbMATH Keywords

overlapMalliavin calculusparabolic Anderson modelBrownian polymer

Mathematics Subject Classification ID

Brownian motion (60J65) 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) Stochastic integrals (60H05) Processes in random environments (60K37)

Related Items (16)

Localization in log-gamma polymers with boundaries ⋮ Localization transition for polymers in Poissonian medium ⋮ Gaussian fluctuations of replica overlap in directed polymers ⋮ Limiting results for the free energy of directed polymers in random environment with unbounded jumps ⋮ Localization length of the \(1+1\) continuum directed random polymer ⋮ Joint localization of directed polymers ⋮ Properties of the parabolic Anderson model and the Anderson polymer model ⋮ Localization in Gaussian disordered systems at low temperature ⋮ Very strong disorder for the parabolic Anderson model in low dimensions ⋮ Moments and Lyapunov exponents for the parabolic Anderson model ⋮ On properties of optimal paths in first-passage percolation. On properties of optimal paths in first-passage percolation, on propertie of optimal paths ⋮ Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension ⋮ Anderson polymer in a fractional Brownian environment: asymptotic behavior of the partition function ⋮ Full-path localization of directed polymers ⋮ Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder ⋮ Proof of the path localization conjecture for directed polymers

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