Endpoint distribution of directed polymers in 1+1 dimensions [PDF]
Gregorio Moreno Flores, Jeremy Quastel, Daniel RemenikWe give an explicit formula for the joint density of the max and argmax of the Airy$_2$ 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.View original: http://arxiv.org/abs/1106.2716
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