67 citations · 340 across the 19 of their papers we have counts for
26 papers
Transition probability and total crossing events in the multi-species asymmetric exclusion process
Jan de Gier, William Mead, Michael Wheeler
We present explicit formulas for total crossing events in the multi-species asymmetric exclusion process (-ASEP) with underlying symmetry. I…
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…
Colored Fermionic Vertex Models and Symmetric Functions
Amol Aggarwal, Alexei Borodin, Michael Wheeler
In this text we introduce and analyze families of symmetric functions arising as partition functions for colored fermionic vertex models associated with the quantized affine Lie su…
Graph-like Distributions and Types in Ultrapowers
Michael Wheeler
We study types that appear in ultraproducts that have distributions which can be thought of as a sequence of graphs. The property of having distributions that are captured by graph…
Observables of coloured stochastic vertex models and their polymer limits
Alexei Borodin, Michael Wheeler
In the context of the coloured stochastic vertex model in a quadrant, we identify a family of observables whose averages are given by explicit contour integrals. The observables ar…