### Abstract of "Fluctuation properties of the TASEP with periodic initial configuration"

with Alexei Borodin, Michael PrÃ¤hofer and Tomohiro Sasamoto.

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.

Postscript file: [PS]

PDF file: [PDF]

arXiv: math-ph/0608056