Asymmetric simple exclusion process: Difference between revisions

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In [[probability theory]], the '''asymmetric simple exclusion process (ASEP)''' is an [[interacting particle system]] introduced in 1970 by [[Frank Spitzer]] in ''Interaction of Markov Processes''. Many articles have been published on it in the physics and mathematics literature since then, and it has become a "default stochastic model for transport phenomena".<ref>{{cite journal|last=Yau|first=H.T.|author-link=Horng-Tzer Yau

|title=(log t)^2/3 law of the two dimensional asymmetric simple exclusion process|journal=Ann. Math. |year=2004|volume=159|pages=377–405|url=https://arxiv.org/abs/math-ph/0201057|doi=10.4007/annals.2004.159.377|arxiv=math-ph/0201057}}</ref>

The process with parameters <math>p, q \geqslant 0,\, p + q = 1</math> is a continuous-time [[Markov process]] on <math>S = \lbrace 0, 1\rbrace^{\mathbb{Z}}</math>,