2011/02/23 by Eric Cator, Cator, Eric, Marcio Watanabe +3
Computer Science · Mathematics · Physics and Astronomy · Social Sciences · #Bayesian Methods and Mixture Models #Combinatorics #Computer science #Continuum percolation theory #Data mining #Directed percolation #FOS: Mathematics #FOS: Physical sciences #Human Mobility and Location-Based Analysis #Mathematical Physics (math-ph) #Mathematical economics #Mathematics #Measure (data warehouse) #Percolation (cognitive psychology) #Percolation critical exponents #Percolation theory #Percolation threshold #Physics #Poisson distribution #Probability (math.PR) #Quantum mechanics #Random Matrices and Applications #Statistical physics #Statistics #Stochastic processes and statistical mechanics #Topology (electrical circuits) #math-ph #math.MP #math.PR
paper · pdf · doi:10.48550/arxiv.1102.4737
published in arXiv (Cornell University) (Cornell University)
openalex publication_date 2011/02/23 · arxiv created 2011/08/16 · arxiv updated 2011/08/17 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
In this paper we consider an equilibrium last-passage percolation model on an\nenvironment given by a compound two-dimensional Poisson process. We prove an\n LL2-formula relating the initial measure with the last-passage percolation\ntime. This formula turns out to be a useful tool to analyze the fluctuations of\nthe last-passage times along non-characteristic directions.\n