Fluctuation properties of the TASEP with periodic initial configuration

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dc.creatorBorodin, Alexei
dc.creatorFerrari, Patrik L.
dc.creatorPrähofer, Michael
dc.creatorSasamoto, Tomohiro
dc.date2006-08-25
dc.date2006-12-14
dc.date.accessioned2026-07-07T08:55:11Z
dc.date.available2026-07-07T08:55:11Z
dc.descriptionWe consider the joint distributions of particle positions for the continuous time totally asymmetric simple exclusion process (TASEP). They are expressed as Fredholm determinants with a kernel defining a signed determinantal point process. We then consider certain periodic initial conditions and determine the kernel in the scaling limit. This result has been announced first in a letter by one of us and here we provide a self-contained derivation. Connections to last passage directed percolation and random matrices are also briefly discussed.
dc.description33 pages, 4 figure, LaTeX; We added several references to the general framework and techniques used
dc.identifierhttps://arxiv.org/abs/math-ph/0608056
dc.identifierhttp://arxiv.org/abs/math-ph/0608056
dc.identifierJ. Stat. Phys. 129 (2007), 1055-1080
dc.identifierdoi:10.1007/s10955-007-9383-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146192
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectProbability
dc.subject82C22, 60K35, 15A52
dc.titleFluctuation properties of the TASEP with periodic initial configuration
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