654 citations · 2.4k across the 65 of their papers we have counts for
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Harold Widom's work in random matrix theory
Ivan Corwin, Percy Deift, Alexander Its
This is a survey of Harold Widom's work in random matrices. We start with his pioneering papers on the sine-kernel determinant, continue with his and Craig Tracy's groundbreaking r…
Directed random polymers via nested contour integrals
Alexei Borodin, Alexey Bufetov, Ivan Corwin
We study the partition function of two versions of the continuum directed polymer in 1+1 dimension. In the full-space version, the polymer starts at the origin and is free to move…
A Classical Limit of Noumi's -Integral Operator
Alexei Borodin, Ivan Corwin, Daniel Remenik
We demonstrate how a known Whittaker function integral identity arises from the and limit of the Macdonald polynomial eigenrelation satisfied by Noumi's -integral…
Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz
Alexei Borodin, Ivan Corwin, Leonid Petrov +1
We develop spectral theory for the q-Hahn stochastic particle system introduced recently by Povolotsky. That is, we establish a Plancherel type isomorphism result which implies com…
Spectral theory for the q-Boson particle system
Alexei Borodin, Ivan Corwin, Leonid Petrov +1
We develop spectral theory for the generator of the q-Boson (stochastic) particle system. Our central result is a Plancherel type isomorphism theorem for this system. This theorem…
Limit processes for TASEP with shocks and rarefaction fans
Ivan Corwin, Patrik L. Ferrari, Sandrine Péché
We consider the totally asymmetric simple exclusion process (TASEP) with two-sided Bernoulli initial condition, i.e., with left density rho_- and right density rho_+. We consider t…