359 citations
- Massachusetts Institute of TechnologyUS18 papers
- University of California San DiegoUS18 papers
- California Institute of TechnologyUS17 papers
- TRIUMFCA16 papers
- University of Maryland, College ParkUS12 papers
- University of WashingtonUS12 papers
- Princeton UniversityUS11 papers
- University of ToledoUS11 papers
- University of British ColumbiaCA10 papers
- The University of TokyoJP9 papers
- University of Massachusetts AmherstUS9 papers
- University of OxfordGB9 papers
11 papers · 1 filter
Spectral Theory of the Nazarov-Sklyanin Lax Operator
Ryan Mickler, Alexander Moll
In their study of Jack polynomials, Nazarov-Sklyanin introduced a remarkable new graded linear operator where is the ring of symmetr…
Simplicial Dollar Game
Jesse Kim, David Perkinson
The dollar game is a chip-firing game introduced by Baker and Norine (2007) as a context in which to formulate and prove the Riemann-Roch theorem for graphs. A divisor on a graph i…
Jacobi-Trudi determinants over finite fields
Ben Anzis, Shuli Chen, Yibo Gao +3
In this paper, we work toward answering the following question: given a uniformly random algebra homomorphism from the ring of symmetric functions over the integers to a finite fie…
On Levine's notorious hat puzzle
Joe Buhler, Chris Freiling, Ron Graham +5
The Levine hat game requires players, each wearing an infinite random stack of black and white hats, to guess the location of a black hat on their own head seeing only the hats…
Sandpiles and Dominos
Laura Florescu, Daniela Morar, David Perkinson +2
We consider the subgroup of the abelian sandpile group of the grid graph consisting of configurations of sand that are symmetric with respect to central vertical and horizontal axe…
G-parking functions and tree inversions
David Perkinson, Qiaoyu Yang, Kuai Yu
A depth-first search version of Dhar's burning algorithm is used to give a bijection between the parking functions of a graph and labeled spanning trees, relating the degree of the…