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The scaling relation chi = 2 xi - 1 for directed polymers in a random environment

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Publication:2866844
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zbMath1277.82029arXiv1211.0992MaRDI QIDQ2866844

Antonio Auffinger, Michael Damron

Publication date: 9 December 2013

Full work available at URL: https://arxiv.org/abs/1211.0992


zbMATH Keywords

directed polymersfluctuation exponentsKPZ scaling relation


Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)


Related Items (8)

Tracy-Widom fluctuations for perturbations of the log-gamma polymer in intermediate disorder ⋮ Airy Processes and Variational Problems ⋮ A simplified proof of the relation between scaling exponents in first-passage percolation ⋮ On large deviation rate functions for a continuous-time directed polymer in weak disorder ⋮ Random growth models: Shape and convergence rate ⋮ The corner growth model with exponential weights ⋮ Negative correlation of adjacent Busemann increments ⋮ Positive Temperature Versions of Two Theorems on First-Passage Percolation




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