Pushing, blocking and polynuclear growth

DOI10.1214/24-ECP580zbMATH Open1544.60101MaRDI QIDQ6597226

Will Fitzgerald

Publication date: 3 September 2024

Published in: Electronic Communications in Probability (Search for Journal in Brave)

zbMATH Keywords

last passage percolationheight functionpolynuclear growth model

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05)

Cites Work

• Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
• Large time asymptotics of growth models on space-like paths. I: Push ASEP
• Scale invariance of the PNG droplet and the Airy process
• Algebraic aspects of increasing subsequences
• The asymptotics of monotone subsequences of involutions
• The invariant measure of PushASEP with a wall and point-to-line last passage percolation
• Point-to-line last passage percolation and the invariant measure of a system of reflecting Brownian motions
• The two-time distribution in geometric last-passage percolation
• Fluctuation properties of the TASEP with periodic initial configuration
• Large time asymptotics of growth models on space-like paths. II: PNG and parallel TASEP
• On the distribution of the length of the longest increasing subsequence of random permutations
• Deformed Polynuclear Growth in (1+1) Dimensions

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