Hammersley's process with sources and sinks

DOI10.1214/009117905000000053zbMath1066.60011arXivmath/0506590OpenAlexW3100665359MaRDI QIDQ1781170

Piet Groeneboom, Eric A. Cator

Publication date: 23 June 2005

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506590

zbMATH Keywords

Burke's theoremlongest increasing subsequenceUlam's problemlocal Poisson convergencetotally asymmetric simple exclusion processes (TASEP), second-class particles

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05)

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Cites Work

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• Hydrodynamical methods for analyzing longest increasing subsequences
• A representation for non-colliding random walks
• Ulam's problem and Hammersley's process
• Hammersley's interacting particle process and longest increasing subsequences
• A microscopic model for the Burgers equation and longest increasing subsequences
• Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem

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