### Abstract of "Limit process of stationary TASEP near the characteristic line"

with Jinho Baik and Sandrine Péché.

The totally asymmetric simple exclusion process (TASEP) on **Z** with the Bernoulli-ρ measure as initial conditions, 0<ρ<1, is stationary. It is known that along the characteristic line, the current fluctuates as of order t^{1/3}. The limiting distribution has also been obtained explicitly. In this paper we determine the limiting multi-point distribution of the current fluctuations moving away from the characteristics by the order t^{2/3}. The main tool is the analysis of a related directed last percolation model. We also discuss the process limit in tandem queues in equilibrium.

Postscript file: [PS]

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arXiv: 0907.0226