James Martin

most citedThe inhomogeneous

t

-PushTASEP and Macdonald polynomials

1 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2024★ 1 cited

The inhomogeneous $t$ -PushTASEP and Macdonald polynomials

Arvind Ayyer, James Martin, Lauren Williams

We study a multispecies $t$ -PushTASEP system on a finite ring of $n$ sites with site-dependent rates $x_{1}, \dots, x_{n}$ . Let $λ = (λ_{1}, \dots, λ_{n})$ be a partition whose parts represent t…

math.PR2023★ 1 cited

The inhomogeneous multispecies PushTASEP: Dynamics and symmetry

Arvind Ayyer, James B. Martin

We introduce and study a natural multispecies variant of the inhomogeneous PushTASEP with site-dependent rates on the finite ring. We show that the stationary distribution of this…

The inhomogeneous t-PushTASEP and Macdonald polynomials

The inhomogeneous multispecies PushTASEP: Dynamics and symmetry

The inhomogeneous $t$ -PushTASEP and Macdonald polynomials