A universality property for last-passage percolation paths close to the axis
From MaRDI portal
Publication:2433639
DOI10.1214/ECP.v10-1139zbMath1111.60068arXivmath/0410042OpenAlexW2074776807MaRDI QIDQ2433639
James B. Martin, Thierry Bodineau
Publication date: 3 November 2006
Published in: Electronic Communications in Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0410042
Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items (23)
Heavy tails in last-passage percolation ⋮ Optimality regions and fluctuations for Bernoulli last passage models ⋮ Central limit theorem for first-passage percolation time across thin cylinders ⋮ A generalization of the Lindeberg principle ⋮ Probabilistic and analytical properties of the last passage percolation constant in a weighted random directed graph ⋮ KPZ limit theorems ⋮ Limit theorems for a random directed slab graph ⋮ Stein's method in high dimensions with applications ⋮ Asymptotics for random Young diagrams when the word length and alphabet size simultaneously grow to infinity ⋮ Passive tracer dynamics in slow-bond problem ⋮ Batch latency analysis and phase transitions for a tandem of queues with exponentially distributed service times ⋮ Random matrix central limit theorems for nonintersecting random walks ⋮ Properties of the limit shape for some last-passage growth models in random environments ⋮ On the limiting law of the length of the longest common and increasing subsequences in random words ⋮ Last passage percolation on the complete graph ⋮ Order of the variance in the discrete Hammersley process with boundaries ⋮ Fluctuation lower bounds in planar random growth models ⋮ Simultaneous large deviations for the shape of Young diagrams associated with random words ⋮ Lower deviations in \(\beta \)-ensembles and law of iterated logarithm in last passage percolation ⋮ Upper tail large deviations in Brownian directed percolation ⋮ Nonexistence of bigeodesics in planar exponential last passage percolation ⋮ Last passage percolation in an exponential environment with discontinuous rates ⋮ Lengths of monotone subsequences in a Mallows permutation
This page was built for publication: A universality property for last-passage percolation paths close to the axis