Limit process of stationary TASEP near the characteristic line
Jinho Baik, Patrik L. Ferrari, Sandrine Péché
Source abstract
Abstract The totally asymmetric simple exclusion process (TASEP) on \input amssym with the Bernoulli‐ρ measure as an initial condition, 0 < ρ < 1, is stationary. It is known that along the characteristic line, the current fluctuates at an order of t 1/3 . The limiting distribution has also been obtained explicitly. In this paper we determine the limiting multipoint 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. © 2010 Wiley Periodicals, Inc.
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