271 citations · 3.1k across the 100 of their papers we have counts for
121 papers
Coloured corner processes from asymptotics of LLT polynomials
Amol Aggarwal, Alexei Borodin, Michael Wheeler
We consider probability measures arising from the Cauchy summation identity for the LLT (Lascoux--Leclerc--Thibon) symmetric polynomials of rank . We study the asymptotic…
On a super-analog of the Schur-Weyl Duality
Alexei Borodin, Natasha Rozhkovskaya
Two super-analogs of the Schur-Weyl duality are considered: the duality of actions in of the Lie superalgebra and the symmetri…
TASEP with a moving wall
Alexei Borodin, Alexey Bufetov, Patrik L. Ferrari
We consider a totally asymmetric simple exclusion on with the step initial condition, under the additional restriction that the first particle cannot cross a determini…
Free Fermion Six Vertex Model: Symmetric Functions and Random Domino Tilings
Amol Aggarwal, Alexei Borodin, Leonid Petrov +1
Our work deals with symmetric rational functions and probabilistic models based on the fully inhomogeneous six vertex (ice type) model satisfying the free fermion condition. Two fa…
Deformed Polynuclear Growth in Dimensions
Amol Aggarwal, Alexei Borodin, Michael Wheeler
We introduce and study a one parameter deformation of the polynuclear growth (PNG) in -dimensions, which we call the -PNG model. It is defined by requiring that, when two…
Inhomogeneous spin -Whittaker polynomials
Alexei Borodin, Sergei Korotkikh
We introduce and study an inhomogeneous generalization of the spin -Whittaker polynomials from [Borodin,Wheeler-17]. These are symmetric polynomials, and we prove a branching ru…