174 citations · 821 across the 30 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
Renormalization fixed point of the KPZ universality class
Ivan Corwin, Jeremy Quastel, Daniel Remenik
The one dimensional Kardar-Parisi-Zhang universality class is believed to describe many types of evolving interfaces which have the same characteristic scaling exponents. These exp…