654 citations · 2.4k across the 65 of their papers we have counts for
7 papers · 1 filter
Fluctuations of TASEP and LPP with general initial data
Ivan Corwin, Zhipeng Liu, Dong Wang
We prove Airy process variational formulas for the one-point probability distribution of (discrete time parallel update) TASEP with general initial data, as well as last passage pe…
The strict-weak lattice polymer
Ivan Corwin, Timo Seppäläinen, Hao Shen
We introduce the strict-weak polymer model, and show the KPZ universality of the free energy fluctuation of this model for a certain range of parameters. Our proof relies on the ob…
Stochastic six-vertex model
Alexei Borodin, Ivan Corwin, Vadim Gorin
We study the asymmetric six-vertex model in the quadrant with parameters on the stochastic line. We show that the random height function of the model converges to an explicit deter…
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…
Height fluctuations for the stationary KPZ equation
Alexei Borodin, Ivan Corwin, Patrik L. Ferrari +1
We compute the one-point probability distribution for the stationary KPZ equation (i.e. initial data H(0,X)=B(X), for B(X) a two-sided standard Brownian motion) and show that as ti…
Ergodicity of the Airy line ensemble
Ivan Corwin, Xin Sun
In this paper, we establish the ergodicity of the Airy line ensemble. This shows that it is the only candidate for Conjecture 3.2 in [3], regarding the classification of ergodic li…