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

DOI10.1016/J.SPA.2023.104271arXiv2209.14478OpenAlexW4389298303MaRDI QIDQ6190444

Alexandru Gatea

Publication date: 6 February 2024

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

Full work available at URL: https://arxiv.org/abs/2209.14478

zbMATH Keywords

free energydirected polymerslast passage percolationvariational formulalarge deviation rate functionLevy-Prokhorov metric

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37)

Cites Work

• Unnamed Item
• Unnamed Item
• Variational formulas and disorder regimes of random walks in random potentials
• Variational formulas and cocycle solutions for directed polymer and percolation models
• An improved subadditive ergodic theorem
• Limiting shape for directed percolation models
• Quenched point-to-point free energy for random walks in random potentials
• Directed polymer in random environment and last passage percolation
• Random coding strategies for minimum entropy
• Large deviations for random walks in a random environment
• Quenched Free Energy and Large Deviations for Random Walks in Random Potentials
• On Information and Sufficiency

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