A Brownian motion version of the directed polymer problem.

DOI10.1007/BF02179650zbMath1081.82624OpenAlexW2059389184MaRDI QIDQ1593445

Joseph G. Conlon, Peder A. Olsen

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02179650

zbMATH Keywords

transfer matrixBrownian motionspectral gapdirected polymer

Mathematics Subject Classification ID

Brownian motion (60J65) Statistical mechanics of polymers (82D60) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items

Infinite moments of the partition function for random walks in a random potential ⋮ A continuous time version of random walks in a random potential ⋮ Fractional Integration, morrey spaces and a schrödinger equation ⋮ The continuum directed random polymer ⋮ On the Brownian-directed polymer in a Gaussian random environment ⋮ Gaussian limit theorems for diffusion processes and an application

Cites Work

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• A note on the diffusion of directed polymers in a random environment
• Diffusion of directed polymers in a random environment.