James Martin

activity

20202024

most citedModified Macdonald polynomials and the multispecies zero range process: I

8 citations · 10 across the 3 of their papers we have counts for

collaborators

3 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…

math.CO2020★ 8 cited

Modified Macdonald polynomials and the multispecies zero range process: I

Arvind Ayyer, Olya Mandelshtam, James B. Martin

In this paper we prove a new combinatorial formula for the modified Macdonald polynomials $H_{λ} (X; q, t)$ , motivated by connections to the theory of interacting particle s…

The inhomogeneous t-PushTASEP and Macdonald polynomials

The inhomogeneous multispecies PushTASEP: Dynamics and symmetry

Modified Macdonald polynomials and the multispecies zero range process: I

The inhomogeneous $t$ -PushTASEP and Macdonald polynomials