Fluctuation properties of the TASEP with periodic initial configuration
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We 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.
33 pages, 4 figure, LaTeX; We added several references to the general framework and techniques used
33 pages, 4 figure, LaTeX; We added several references to the general framework and techniques used