Endpoint Distribution of Directed Polymers in 1 + 1 Dimensions
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2013Metadata
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Moreno Flores, Gregorio
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Endpoint Distribution of Directed Polymers in 1 + 1 Dimensions
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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URI: https://repositorio.uchile.cl/handle/2250/126288
DOI: DOI: 10.1007/s00220-012-1583-z
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Commun. Math. Phys. 317, 363–380 (2013)
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