A limit theorem for particle current in the symmetric exclusion process

Details A limit theorem for particle current in the symmetric exclusion process A limit theorem for particle current in the symmetric exclusion process

2010-02-22

arxiv.org/abs/1002.4148v1

Elect. Comm. Probab. 15 (2010), 240-253

Mathematics

Probability

12 pages

Scientific paper

Using the recently discovered strong negative dependence properties of the
symmetric exclusion process, we derive general conditions for when the
normalized current of particles between regions converges to the Gaussian
distribution. The main novelty is that the results do not assume any
translation invariance, and hold for most initial configurations.

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