2013/07/29 by Leandro P. R. Pimentel, Pimentel, Leandro P. R.
Computer Science · Mathematics · #Bayesian Methods and Mixture Models #Brownian motion #Coalescence (physics) #Combinatorics #Critical exponent #Directed percolation #Duality (order theory) #Exponent #Exponential function #FOS: Mathematics #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Percolation critical exponents #Physics #Probability (math.PR) #Random Matrices and Applications #Scaling #Statistical physics #Statistics #Stochastic processes and statistical mechanics #math.PR
paper · pdf · doi:10.48550/arxiv.1307.7769
published in arXiv (Cornell University) (Cornell University) · Accepted for publication in the Annals of Probability
openalex publication_date 2013/07/29 · arxiv created 2015/07/14 · arxiv updated 2015/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we prove a duality relation between coalescence times and exit\npoints in last-passage percolation models with exponential weights. As a\nconsequence, we get lower bounds for coalescence times with scaling exponent\n3/2, and we relate its distribution with variational problems involving the\nBrownian motion process and the Airy process.\n