7 papers · 1 filter
The ASEP speed process
Amol Aggarwal, Ivan Corwin, Promit Ghosal
For ASEP with step initial data and a second class particle started at the origin we prove that as time goes to infinity the second class particle almost surely achieves a velocity…
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…
Gaussian Unitary Ensemble in random lozenge tilings
Amol Aggarwal, Vadim Gorin
This paper establishes a universality result for scaling limits of uniformly random lozenge tilings of large domains. We prove that whenever a boundary of the domain has three adja…
Eigenvector Statistics of Lévy Matrices
Amol Aggarwal, Patrick Lopatto, Jake Marcinek
We analyze statistics for eigenvector entries of heavy-tailed random symmetric matrices (also called Lévy matrices) whose associated eigenvalues are sufficiently small. We show tha…
Limit Shapes and Local Statistics for the Stochastic Six-Vertex Model
Amol Aggarwal
In this paper we consider the stochastic six-vertex model on a cylinder with arbitrary initial data. First, we show that it exhibits a limit shape in the thermodynamic limit, whose…
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…