Michael Wheeler

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, ..

A New Generalisation of Macdonald Polynomials

Alexandr Garbali, Jan de Gier, Michael Wheeler

Journal article  |  2017  |  Communications in Mathematical Physics

We introduce a new family of symmetric multivariate polynomials, whose coefficients are meromorphic functions of two parameters (q..

Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries

Luigi Cantini, Alexandr Garbali, Jan de Gier, Michael Wheeler

Journal article  |  2016  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

We prove that the normalisation of the stationary state of the multi-species asymmetric simple exclusion process (mASEP) is a spec..

Refined Cauchy/Littlewood identities and six-vertex model partition functions: III. Deformed bosons

Michael Wheeler, Paul Zinn-Justin

Journal article  |  2016  |  ADVANCES IN MATHEMATICS

We study Hall-Littlewood polynomials using an integrable lattice model of t-deformed bosons. Working with row-to-row transfer matr..