Geodesic
$(\log t)^2/3$ law of the two dimensional asymmetric simple exclusion process
Horng-Tzer Yau1
1 Department of Mathematics, Stanford University, Stanford, CA 94305, United States
Annals of mathematics, Tome 159 (2004) no. 1, pp. 377-405.

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We prove that the diffusion coefficient for the two dimensional asymmetric simple exclusion process with nearest-neighbor-jumps diverges as $(\log t)^{2/3}$ to the leading order. The method applies to nearest and non-nearest neighbor asymmetric simple exclusion processes.
DOI : 10.4007/annals.2004.159.377

Horng-Tzer Yau 1

1 Department of Mathematics, Stanford University, Stanford, CA 94305, United States 
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Horng-Tzer Yau. $(\log t)^2/3$ law of the two dimensional asymmetric simple exclusion process. Annals of mathematics, Tome 159 (2004) no. 1, pp. 377-405. doi : 10.4007/annals.2004.159.377. http://geodesic.mathdoc.fr/articles/10.4007/annals.2004.159.377/

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