Physics – Mathematical Physics
Scientific paper
2006-08-25
J. Stat. Phys. 129 (2007), 1055-1080
Physics
Mathematical Physics
33 pages, 4 figure, LaTeX; We added several references to the general framework and techniques used
Scientific paper
10.1007/s10955-007-9383-0
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.
Borodin Alexei
Ferrari Patrik L.
Prähofer Michael
Sasamoto Tomohiro
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