The universal Airy_1 and Airy_2 processes in the Totally Asymmetric Simple Exclusion Process

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dc.creatorFerrari, Patrik L.
dc.date2007-01-08
dc.date.accessioned2026-07-07T10:14:18Z
dc.date.available2026-07-07T10:14:18Z
dc.descriptionIn the totally asymmetric simple exclusion process (TASEP) two processes arise in the large time limit: the Airy_1 and Airy_2 processes. The Airy_2 process is an universal limit process occurring also in other models: in a stochastic growth model on 1+1-dimensions, 2d last passage percolation, equilibrium crystals, and in random matrix diffusion. The Airy_1 and Airy_2 processes are defined and discussed in the context of the TASEP. We also explain a geometric representation of the TASEP from which the connection to growth models and directed last passage percolation is immediate.
dc.description13 pages, 4 figures, proceeding for the conference in honor of Percy Deift's 60th birthday
dc.identifierhttps://arxiv.org/abs/math-ph/0701021
dc.identifierhttp://arxiv.org/abs/math-ph/0701021
dc.identifierIn Proceeding ''Integrable Systems and Random Matrices: In Honor of Percy Deift'', Contemporary Mathematics 458 (2008), 321-332
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172834
dc.subjectMathematical Physics
dc.subject82C22, 60K35, 15A52
dc.titleThe universal Airy_1 and Airy_2 processes in the Totally Asymmetric Simple Exclusion Process
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