Michael Wheeler

NONSYMMETRIC MACDONALD POLYNOMIALS VIA INTEGRABLE VERTEX MODELS

A Borodin, M Wheeler

Journal article  |  2022  |  Transactions of the American Mathematical Society

Starting from an integrable rank-n vertex model, we construct an explicit family of partition functions indexed by compositions μ ..

Deformed Polynuclear Growth in (1 1) Dimensions

Amol Aggarwal, Alexei Borodin, Michael Wheeler

Journal article  |  2022  |  International Mathematics Research Notices

Abstract We introduce and study a one parameter deformation of the polynuclear growth (PNG) in (1+1)-dimensions, wh..

Shift-invariance for vertex models and polymers

Alexei Borodin, Vadim Gorin, Michael Wheeler

Journal article  |  2022  |  PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY

We establish a symmetry in a variety of integrable stochastic systems: certain multi-point distributions of natural observables ar..

Spin q-Whittaker polynomials

Alexei Borodin, Michael Wheeler

Journal article  |  2021  |  ADVANCES IN MATHEMATICS

We introduce and study a one-parameter generalization of the q–Whittaker symmetric functions. This is a family of multivariate sym..

Integrable Stochastic Dualities and the Deformed Knizhnik-Zamolodchikov Equation

Zeying Chen, Jan de Gier, Michael Wheeler

Journal article  |  2020  |  INTERNATIONAL MATHEMATICS RESEARCH NOTICES

We present a new method for obtaining duality functions in multi-species asymmetric exclusion processes (mASEP), from solutions of..

Acute Effects Of Interrupting Prolonged Sitting On Vascular Function In Type 2 Diabetes

Frances Clare Taylor, David W Dunstan, Ashleigh R Homer, Bronwyn A Kingwell, Paddy C Dempsey, Rachel E Climie, Neville Owen, Robyn N Larsen, Michael J Wheeler, Melanie K Townsend, Nirav Maniar, Daniel J Green

Conference Proceedings  |  2020  |  MEDICINE AND SCIENCE IN SPORTS AND EXERCISE

Modified Macdonald Polynomials and Integrability

Alexandr Garbali, Michael Wheeler

Journal article  |  2020  |  COMMUNICATIONS IN MATHEMATICAL PHYSICS

We derive combinatorial formulae for the modified Macdonald polynomial Hλ(x; q, t) using coloured paths on a square lattice with q..

Littlewood-Richardson coefficients for Grothendieck polynomials from integrability

Michael Wheeler, Paul Zinn-Justin

Journal article  |  2019  |  JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK

We study the Littlewood-Richardson coefficients of double Grothendieck polynomials indexed by Grassmannian permutations. Geometric..

Hall polynomials, inverse Kostka polynomials and puzzles

M Wheeler, P Zinn-Justin

Journal article  |  2018  |  JOURNAL OF COMBINATORIAL THEORY SERIES A

We study two different one-parameter generalizations of Littlewood–Richardson coefficients, namely Hall polynomials and generalize..

STOCHASTIC SIX-VERTEX MODEL IN A HALF-QUADRANT AND HALF-LINE OPEN ASYMMETRIC SIMPLE EXCLUSION PROCESS

Guillaume Barraquand, Alexei Borodin, Ivan Corwin, Michael Wheeler

Journal article  |  2018  |  DUKE MATHEMATICAL JOURNAL

We consider the asymmetric simple exclusion process (ASEP) on the positive integers with an open boundary condition.We show that, ..