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Central Limit Theorem for a Tagged Particle in Asymmetric Simple Exclusion | | Patricia Goncalves
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16 Nov 2006 | | Subject: | Probability | | Abstract: | We 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 | | Services: | Forum | Review | PDF | Favorites | |
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