174 citations · 821 across the 30 of their papers we have counts for
Showing 2011 · math.PRShow all
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math.PR2011★ 15 cited
Supremum of the Airy2 process minus a parabola on a half line
Jeremy Quastel, Daniel Remenik
Let $\aip(t)$ be the Airy process. We show that the random variable [\sup_{t\leqα}\{aip(t)-t^2}+\min{0,α}^2] has the same distribution as the one-point marginal of the Airy$_{2…
math.PR2011★ 44 cited
Endpoint distribution of directed polymers in 1+1 dimensions
Gregorio Moreno Flores, Jeremy Quastel, Daniel Remenik
We give an explicit formula for the joint density of the max and argmax of the Airy process minus a parabola. The argmax has a universal distribution which governs the rescaled…
math.PR2011★ 10 cited
Local Brownian property of the narrow wedge solution of the KPZ equation
Jeremy Quastel, Daniel Remenik
Let H(t,x) be the Hopf-Cole solution at time t of the Kardar-Parisi-Zhang (KPZ) equation starting with narrow wedge initial condition, i.e. the logarithm of the solution of the mul…