Tails of the endpoint distribution of directed polymers [PDF]
Jeremy Quastel, Daniel RemenikWe prove that the random variable $\ct=\argmax_{t\in\rr}\{\aip(t)-t^2\}$ has tails which decay like $e^{-ct^3}$. The distribution of $\ct$ is a universal distribution which governs the rescaled endpoint of directed polymers in 1+1 dimensions for large time or temperature.View original: http://arxiv.org/abs/1203.2907
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