654 citations · 2.4k across the 65 of their papers we have counts for
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Macdonald processes
Alexei Borodin, Ivan Corwin
Macdonald processes are probability measures on sequences of partitions defined in terms of nonnegative specializations of the Macdonald symmetric functions and two Macdonald param…
Tropical Combinatorics and Whittaker functions
Ivan Corwin, Neil O'Connell, Timo Seppäläinen +1
We establish a fundamental connection between the geometric RSK correspondence and GL(N,R)-Whittaker functions, analogous to the well known relationship between the RSK corresponde…
Brownian Gibbs property for Airy line ensembles
Ivan Corwin, Alan Hammond
Consider N Brownian bridges B_i:[-N,N] -> R, B_i(-N) = B_i(N) = 0, 1 <= i <= N, conditioned not to intersect. The edge-scaling limit of this system is obtained by taking a limit as…
The Kardar-Parisi-Zhang equation and universality class
Ivan Corwin
Brownian motion is a continuum scaling limit for a wide class of random processes, and there has been great success in developing a theory for its properties (such as distribution…
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…