Endpoint Distribution of Directed Polymers in 1 + 1 Dimensions
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- Moreno Flores, G., Quastel, J. & Remenik, D. Commun. Math. Phys. (2013) 317: 363. doi:10.1007/s00220-012-1583-z
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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.