Geodesic
The universal relation between scaling exponents in first-passage percolation
Sourav Chatterjee1
1 Courant Institute of Mathematical Sciences, New York University, New York, NY
Annals of mathematics, Tome 177 (2013) no. 2, pp. 663-697.

Voir la notice de l'article provenant de la source Annals of Mathematics website

It has been conjectured in numerous physics papers that in ordinary first-passage percolation on integer lattices, the fluctuation exponent $\chi$ and the wandering exponent $\xi$ are related through the universal relation $\chi=2\xi -1$, irrespective of the dimension. This is sometimes called the KPZ relation between the two exponents. This article gives a rigorous proof of this conjecture assuming that the exponents exist in a certain sense.
DOI : 10.4007/annals.2013.177.2.7

Sourav Chatterjee 1

1 Courant Institute of Mathematical Sciences, New York University, New York, NY 
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Sourav Chatterjee. The universal relation between scaling exponents in first-passage percolation. Annals of mathematics, Tome 177 (2013) no. 2, pp. 663-697. doi : 10.4007/annals.2013.177.2.7. http://geodesic.mathdoc.fr/articles/10.4007/annals.2013.177.2.7/

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