Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment

zbMath1276.60117arXiv1006.4864MaRDI QIDQ2865827

Publication date: 3 December 2013

Full work available at URL: https://arxiv.org/abs/1006.4864

partition function random environment scaling exponent geometric Brownian motion Burke's theorem directed polymer superdiffusivity Dufresne's identity Brownian queue

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37)

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