654 citations · 2.4k across the 65 of their papers we have counts for
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math.PR2010★ 27 cited
Crossover distributions at the edge of the rarefaction fan
Ivan Corwin, Jeremy Quastel
We consider the weakly asymmetric limit of simple exclusion process with drift to the left, starting from step Bernoulli initial data with so that macroscopically one has…
math.PR2010★ 654 cited
Probability Distribution of the Free Energy of the Continuum Directed Random Polymer in 1+1 dimensions
Gideon Amir, Ivan Corwin, Jeremy Quastel
We consider the solution of the stochastic heat equation \partial_T \mathcal{Z} = 1/2 \partial_X^2 \mathcal{Z} - \mathcal{Z} \dot{\mathscr{W}} with delta function initial condition…
math.PR2010★ 63 cited
Universality of slow decorrelation in KPZ growth
Ivan Corwin, P. L. Ferrari, S. Peche
There has been much success in describing the limiting spatial fluctuations of growth models in the Kardar-Parisi-Zhang (KPZ) universality class. A proper rescaling of time should…