Abstract
We prove that the random variable Τ = argmaxtεℝ{A2(t)-t2}, where A2 is the Airy2 process, has tails which decay like e-ct3 . The distribution of Τ 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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APA
Quastel, J., & Remenik, D. (2015). Tails of the endpoint distribution of directed polymers. Annales de l’institut Henri Poincare (B) Probability and Statistics, 51(1), 1–17. https://doi.org/10.1214/12-AIHP525
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