654 citations · 2.4k across the 65 of their papers we have counts for
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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…
Stationary measure of the driven two-dimensional q-Whittaker particle system on the torus
Ivan Corwin, Fabio Lucio Toninelli
We consider a q-deformed version of the uniform Gibbs measure on dimers on the periodized hexagonal lattice (equivalently, on interlacing particle configurations, if vertical dimer…
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…
KPZ equation limit of higher-spin exclusion processes
Ivan Corwin, Li-Cheng Tsai
We prove that under a particular weak scaling, the 4-parameter interacting particle system introduced by Corwin and Petrov converges to the KPZ equation. This expands the relativel…
Random-walk in Beta-distributed random environment
Guillaume Barraquand, Ivan Corwin
We introduce an exactly-solvable model of random walk in random environment that we call the Beta RWRE. This is a random walk in which performs nearest neighbour jumps…
Stochastic higher spin vertex models on the line
Ivan Corwin, Leonid Petrov
We introduce a four-parameter family of interacting particle systems on the line which can be diagonalized explicitly via a complete set of Bethe ansatz eigenfunctions, and which e…