90 citations · 357 across the 29 of their papers we have counts for
35 papers · 1 filter
Perturbed Beta Corners Process
Leonid Petrov, Jiaming Xu
We introduce and study the perturbed -corners process, a deformation of the classical -corners process. The latter is a probability measure on interlacing arrays of real numb…
Tilted biorthogonal ensembles, Grothendieck random partitions, and determinantal tests
Svetlana Gavrilova, Leonid Petrov
We study probability measures on partitions based on symmetric Grothendieck polynomials. These deformations of Schur polynomials introduced in the K-theory of Grassmannians share m…
Asymptotics of noncolliding q-exchangeable random walks
Leonid Petrov, Mikhail Tikhonov
We consider a process of noncolliding -exchangeable random walks on making steps (straight) and (down). A single random walk is called -exchangeable if…
Rewriting History in Integrable Stochastic Particle Systems
Leonid Petrov, Axel Saenz
Many integrable stochastic particle systems in one space dimension (such as TASEP - Totally Asymmetric Simple Exclusion Process - and its -deformation, the -TASEP) remain int…
Noncolliding Macdonald Walks with an Absorbing Wall
Leonid Petrov
The branching rule is one of the most fundamental properties of the Macdonald symmetric polynomials. It expresses a Macdonald polynomial as a nonnegative linear combination of Macd…
Irreversible Markov Dynamics and Hydrodynamics for KPZ States in the Stochastic Six Vertex Model
Matthew Nicoletti, Leonid Petrov
We introduce a family of Markov growth processes on discrete height functions defined on the 2-dimensional square lattice. Each height function corresponds to a configuration of th…