Discrete Hammersley's Lines with sources and sinks

zbMath1336.60182arXiv1503.00507MaRDI QIDQ2790218

Jean-Baptiste Gouéré, Nathanaël Enriquez, Lucas Gerin, Anne-Laure Basdevant

Publication date: 3 March 2016

Full work available at URL: https://arxiv.org/abs/1503.00507

zbMATH Keywords

laws of large numbersUlam's problemlongest increasing subsequencesHammersley's process

Mathematics Subject Classification ID

Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (6)

Longest increasing paths with gaps ⋮ From Hammersley's lines to Hammersley's trees ⋮ Optimality regions and fluctuations for Bernoulli last passage models ⋮ Strong law of large numbers for the stochastic six vertex model ⋮ Order of the variance in the discrete Hammersley process with boundaries ⋮ First-order behavior of the time constant in Bernoulli first-passage percolation

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