Jan de Gier

Limit Shapes for the Asymmetric Five Vertex Model

Jan de Gier, Richard Kenyon, Samuel S Watson

Journal article  |  2021  |  COMMUNICATIONS IN MATHEMATICAL PHYSICS

We compute the free energy and surface tension function for the five-vertex model, a model of non-intersecting monotone lattice pa..

The R-Matrix of the Quantum Toroidal Algebra Uq,t((sic)l(1)) in the Fock Module

Alexandr Garbali, Jan de Gier

Journal article  |  2021  |  COMMUNICATIONS IN MATHEMATICAL PHYSICS

We propose a method to compute the R-matrix R on a tensor product of Fock modules from coproduct relations in a Hopf algebra. We a..

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..

Kardar-Parisi-Zhang universality of the Nagel-Schreckenberg model

Jan de Gier, Andreas Schadschneider, Johannes Schmidt, Gunter M Schuetz

Journal article  |  2019  |  PHYSICAL REVIEW E

Dynamical universality classes are distinguished by their dynamical exponent z and unique scaling functions encoding space-time as..

T-Q relations for the integrable two-species asymmetric simple exclusion process with open boundaries

Xin Zhang, Fakai Wen, Jan de Gier

Journal article  |  2019  |  JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

We study the integrable two-species asymmetric simple exclusion process (ASEP) for two inequivalent types of open, non particle co..

2017 MATRIX Annals

Book  |  2019

Behaviour of traffic on a link with traffic light boundaries

Lele Zhang, Caley Finn, Timothy M Garoni, Jan de Gier

Journal article  |  2018  |  PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

This paper considers a single link with traffic light boundary conditions at both ends, and investigates the traffic evolution ove..

Exact Confirmation of 1D Nonlinear Fluctuating Hydrodynamics for a Two-Species Exclusion Process

Zeying Chen, Jan de Ger, Iori Hiki, Tomohiro Sasamoto

Journal article  |  2018  |  PHYSICAL REVIEW LETTERS

We consider current statistics for a two-species exclusion process of particles hopping in opposite directions on a one-dimensiona..

2016 MATRIX Annals

Book  |  2018

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..