Variational Formulas and Cocycle solutions for Directed Polymer and Percolation Models

2016/03/28 by Nicos Georgiou, Firas Rassoul‐Agha, Firas Rassoul-Agha +1 · 1 citation
Mathematics · #Calculus of variations #Computer science #Dimension (graph theory) #Ergodic theory #Invariant (physics) #Limiting #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematical physics #Mathematics #Path (computing) #Percolation (cognitive psychology) #Physics #Pure mathematics #Random Matrices and Applications #Statistical physics #Stochastic processes and statistical mechanics #Variational principle

paper · doi:10.1007/s00220-016-2613-z

crossref issued 2016/03/28 · crossref published 2016/03/28 · crossref published-online 2016/03/28 · openalex publication_date 2016/03/28 · crossref created 2016/03/28 · crossref published-print 2016/09/01 · crossref deposited 2025/06/02 · openalex created_date 2025/10/10 · crossref indexed 2026/07/22 · openalex updated_date 2026/08/06

Citations

• Local statistics for random domino tilings of the Aztec diamond
• Stochastic integrability and the KPZ equation
• Ratios of partition functions for the log-gamma polymer
• Competition interfaces and second class particles
• A phase transition for competition interfaces
• Coexistence for Richardson type competing spatial growth models
• Limiting shape for directed percolation models
• Busemann Functions and Infinite Geodesics in Two-Dimensional First-Passage Percolation
• Stationary cocycles and Busemann functions for the corner growth model
• Multitype shape theorems for first passage percolation models
• On the distribution of the length of the longest increasing subsequence of random permutations

Cited by

• Busemann function [wikipedia]