Limit Process of Stationary TASEP near the Characteristic Line

作者:Baik Jinho*; Ferrari Patrik L; Peche Sandrine
来源:Communications on Pure and Applied Mathematics, 2010, 63(8): 1017-1070.

摘要

The totally asymmetric simple exclusion process (TASEP) on Z with the Bernoulli-rho measure as an initial condition, 0 < rho < 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 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.

  • 出版日期2010-8