654 citations · 2.4k across the 65 of their papers we have counts for
6 papers · 1 filter
KPZ line ensemble
Ivan Corwin, Alan Hammond
For each we construct an -indexed ensemble of random continuous curves with three properties: 1. The lowest indexed curve is distributed as the time Hopf-…
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…
The q-PushASEP: A New Integrable Model for Traffic in 1+1 Dimension
Ivan Corwin, Leonid Petrov
We introduce a new interacting (stochastic) particle system q-PushASEP which interpolates between the q-TASEP introduced by Borodin and Corwin (see arXiv:1111.4408, and also arXiv:…
Observables of Macdonald processes
Alexei Borodin, Ivan Corwin, Vadim Gorin +1
We present a framework for computing averages of various observables of Macdonald processes. This leads to new contour--integral formulas for averages of a large class of multileve…
Discrete time q-TASEPs
Alexei Borodin, Ivan Corwin
We introduce two new exactly solvable (stochastic) interacting particle systems which are discrete time versions of q-TASEP. We call these geometric and Bernoulli discrete time q-T…
Multiplicative functionals on ensembles of non-intersecting paths
Alexei Borodin, Ivan Corwin, Daniel Remenik
The purpose of this article is to develop a theory behind the occurrence of "path-integral" kernels in the study of extended determinantal point processes and non-intersecting line…