, Volume 317, Issue 2, pp 363-380
Date: 23 Nov 2012

Endpoint Distribution of Directed Polymers in 1 + 1 Dimensions

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We give an explicit formula for the joint density of the max and argmax of the Airy2 process minus a parabola. The argmax has a universal distribution which governs the rescaled endpoint for large time or temperature of directed polymers in 1+1 dimensions.

Communicated by H.-T. Yau