Arvind Ayyer

activity

20022026

most citedLocal shell-to-shell energy transfer via nonlocal Interactions in fluid turbulence

66 citations · 664 across the 84 of their papers we have counts for

collaborators

Showing 2024 · math.COShow all

2 papers · 2 filters

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.CO2024

An area-bounce exchanging bijection on a large subset of Dyck paths

Arvind Ayyer, Naren Sundaravaradan

It is a longstanding open problem to find a bijection exchanging area and bounce statistics on Dyck paths. We settle this problem for an exponentially large subset of Dyck paths vi…

The inhomogeneous t-PushTASEP and Macdonald polynomials

An area-bounce exchanging bijection on a large subset of Dyck paths

The inhomogeneous $t$ -PushTASEP and Macdonald polynomials