Limit process of stationary TASEP near the characteristic line |
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| Authors: | Jinho Baik Patrik L. Ferrari Sandrine Péché |
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| Affiliation: | 1. University of Michigan, Department of Mathematics, Ann Arbor, MI, 48109;2. University of Bonn, Institute of Applied Mathematics, Endenicher Allee 60, 53115 Bonn, GERMANY;3. Institut Fourier, Laboratoire de Mathématiques, 100 Rue des Maths, BP 74, 38402 Saint Martin d'Heres, FRANCE |
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| Abstract: | The totally asymmetric simple exclusion process (TASEP) oninput amssym ${Bbb Z}$ 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 t1/3. 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 t2/3. 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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