271 citations · 682 across the 21 of their papers we have counts for
6 papers · 1 filter
Stochasticization of Solutions to the Yang-Baxter Equation
Amol Aggarwal, Alexei Borodin, Alexey Bufetov
In this paper we introduce a procedure that, given a solution to the Yang-Baxter equation as input, produces a stochastic (or Markovian) solution to (a possibly dynamical version o…
Coloured stochastic vertex models and their spectral theory
Alexei Borodin, Michael Wheeler
This work is dedicated to -related integrable stochastic vertex models; we call such models coloured. We prove several results about these models, which includ…
Product matrix processes as limits of random plane partitions
Alexei Borodin, Vadim Gorin, Eugene Strahov
We consider a random process with discrete time formed by singular values of products of truncations of Haar distributed unitary matrices. We show that this process can be understo…
Two-dimensional Anisotropic KPZ growth and limit shapes
Alexei Borodin, Fabio Lucio Toninelli
A series of recent works focused on two-dimensional interface growth models in the so-called Anisotropic KPZ (AKPZ) universality class, that have a large-scale behavior similar to…
A stochastic telegraph equation from the six-vertex model
Alexei Borodin, Vadim Gorin
A stochastic telegraph equation is defined by adding a random inhomogeneity to the classical (second order linear hyperbolic) telegraph differential equation. The inhomogeneities w…
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…