Directed polymer in random environment and last passage percolation

DOI10.1051/ps:2008034zbMath1221.60145arXiv0808.3842OpenAlexW2154372571MaRDI QIDQ3085579

Philippe Carmona

Publication date: 31 March 2011

Published in: ESAIM: Probability and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3842

zbMATH Keywords

partition functionrandom environmentlast passage percolationdirected polymer

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Processes in random environments (60K37)

Related Items (1)

Grid entropy in last passage percolation -- a superadditive critical exponent approach

Cites Work

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• Directed polymers in random environment are diffusive at weak disorder
• The number of open paths in an oriented \(\rho\)-percolation model
• Approximation of subadditive functions and convergence rates in limiting-shape results
• A note on the diffusion of directed polymers in a random environment
• On the partition function of a directed polymer in a Gaussian random environment
• Fluctuation exponents and large deviations for directed polymers in a random environment
• Large deviations for random walks in a random environment

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