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01 October 2020
 
  » arxiv » math/0611505

 Article overview


Central Limit Theorem for a Tagged Particle in Asymmetric Simple Exclusion
Patricia Goncalves ;
Date 16 Nov 2006
Subject Probability
AbstractWe prove a Functional Central Limit Theorem for the position of a Tagged Particle in the one-dimensional Asymmetric Simple Exclusion Process in the hyperbolic scaling, starting from a Bernoulli product measure conditioned to have a particle at the origin. We also prove that the position of the Tagged Particle at time $t$ depends on the initial configuration, by the number of empty sites in the interval $[0,(p-q)alpha t]$ divided by $alpha$ in the hyperbolic and in a longer time scale, namely $N^{4/3}$.
Source arXiv, math/0611505
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