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We obtain several exact results for universal distributions involving the maximum of the Airy$_2$ process minus a parabola and plus a Brownian motion, with applications to the 1D Kardar-Parisi-Zhang (KPZ) stochastic growth universality class.
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2012
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The estimate C ∞ ≈ 0.6 C_{\infty}\approx 0.6 was quoted in [ 2 ] as being consistent with numerical data obtained there, with the theory of [ 2 ] , and with previous experimental data (Takeuchi Private Comm. 2016)
2016
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2017
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J. De Nardis, P. Le Doussal, K. A. Takeuchi, Memory and universality in interface growth
2017
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2017
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Periodic Airy process and equilibrium dynamics of edge fermions in a trap
2017
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2017
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The estimate C ∞ = 0.626 ± 0.003 C_{\infty}=0.626\pm 0.003 was obtained early this year by Halpin-Healy (Private Comm. 2017) simulating the pt-pt 1+1 DPRM subject to exponential site disorder
2017
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