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Tails of the endpoint distribution of directed polymers

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 نشر من قبل Daniel Remenik
 تاريخ النشر 2012
  مجال البحث فيزياء
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We prove that the random variable $ct=argmax_{tinrr}{aip(t)-t^2}$ 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.



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