31 citations · 165 across the 40 of their papers we have counts for
5 papers · 1 filter
Stochastic Baxterisation of a fused Hecke algebra
Jeffrey Kuan
Baxterisation is a procedure which constructs solutions of the Yang-Baxter equation from algebra representations. A recent paper arXiv:2004.05035 provides Baxterisation formulas fo…
Interacting particle systems with type D symmetry and duality
Jeffrey Kuan, Mark Landry, Andrew Lin +2
We construct a two-class asymmetric interacting particle system with or symmetry, in which up to two particles may occupy a site if the two particles have d…
Determinantal Expressions in Multi-Species TASEP
Jeffrey Kuan
Consider an inhomogeneous multi-species TASEP with drift to the left, and define a height function which equals the maximum species number to the left of a lattice site. For each f…
Two dualities: Markov and Schur-Weyl
Jeffrey Kuan
We show that quantum Schur-Weyl duality leads to Markov duality for a variety of asymmetric interacting particle systems. In particular, we consider three cases: (1) Using a Schur-…
Coxeter Group Actions on Interacting Particle Systems
Jeffrey Kuan
We provide a conceptual proof of the color-position symmetry of colored ASEP by relating it to the actions of Coxeter groups. The group action (and hence the color-position symmetr…