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Endpoint Distribution of Directed Polymers in 1 + 1 Dimensions

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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.

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Correspondence to Jeremy Quastel.

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Communicated by H.-T. Yau

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Moreno Flores, G., Quastel, J. & Remenik, D. Endpoint Distribution of Directed Polymers in 1 + 1 Dimensions. Commun. Math. Phys. 317, 363–380 (2013). https://doi.org/10.1007/s00220-012-1583-z

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  • DOI: https://doi.org/10.1007/s00220-012-1583-z

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