45 citations · 49 across the 3 of their papers we have counts for
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math.PR2001
Optimal tail estimates for directed last passage site percolation with geometric random variables
Jinho Baik, Percy Deift, Ken McLaughlin +2
In this paper, we obtain optimal uniform lower tail estimates for the probability distribution of the properly scaled length of the longest up/right path of the last passage site p…
nlin.SI2001
Asymptotics of semiclassical soliton ensembles: rigorous justification of the WKB approximation
P. D. Miller
Rigorous pointwise asymptotics are established for semiclassical soliton ensembles (SSEs) of the focusing nonlinear Schroedinger equation using techniques of asymptotic analysis of…
nlin.SI2001
An Exactly Solvable Model for the Interaction of Linear Waves with Korteweg-de Vries Solitons
P. D. Miller, S. R. Clarke
Under certain mode-matching conditions, small-amplitude waves can be trapped by coupling to solitons of nonlinear fields. We present a model for this phenomenon, consisting of a li…