, Volume 317, Issue 2, pp 363-380

Endpoint Distribution of Directed Polymers in 1 + 1 Dimensions

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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