654 citations · 2.4k across the 65 of their papers we have counts for
9 papers · 1 filter
The q-Hahn PushTASEP
Ivan Corwin, Konstantin Matveev, Leonid Petrov
We introduce the -Hahn PushTASEP --- an integrable stochastic interacting particle system which is a 3-parameter generalization of the PushTASEP, a well-known close relative of…
KPZ equation tails for general initial data
Ivan Corwin, Promit Ghosal
We consider the upper and lower tail probabilities for the centered (by time) and scaled (according to KPZ time scaling) one-point distribution of the Cole-Hopf soluti…
Comments on David Aldous and Persi Diaconis' "Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem"
Ivan Corwin
This is a commentary on the article: David Aldous and Persi Diaconis, Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem, Bull. Amer. Math.…
SPDE Limit of Weakly Inhomogeneous ASEP
Ivan Corwin, Li-Cheng Tsai
We study ASEP in a spatially inhomogeneous environment on a torus of sites. A given inhomogeneity $ \widetilde{a}(x) \in (0,\inf…
Exactly solving the KPZ equation
Ivan Corwin
We present a complete proof of the exact formula for the one-point distribution for the narrow-wedge Hopf-Cole solution to the Kardar-Parisi-Zhang (KPZ) equation. This presentation…
Stochastic PDE Limit of the Six Vertex Model
Ivan Corwin, Promit Ghosal, Hao Shen +1
We study the stochastic six vertex model and prove that under weak asymmetry scaling (i.e., when the parameter so as to zoom into the ferroelectric/disordered phase crit…
Coulomb-gas electrostatics controls large fluctuations of the KPZ equation
Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink +2
We establish a large deviation principle for the Kardar-Parisi-Zhang (KPZ) equation, providing precise control over the left tail of the height distribution for narrow wedge initia…
Lower tail of the KPZ equation
Ivan Corwin, Promit Ghosal
We provide the first tight bounds on the lower tail probability of the one point distribution of the KPZ equation with narrow wedge initial data. Our bounds hold for all sufficient…
Half-space Macdonald processes
Guillaume Barraquand, Alexei Borodin, Ivan Corwin
Macdonald processes are measures on sequences of integer partitions built using the Cauchy summation identity for Macdonald symmetric functions. These measures are a useful tool to…