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
8 papers · 1 filter
Primer for the algebraic geometry of sandpiles
David Perkinson, Jacob Perlman, John Wilmes
The Abelian Sandpile Model (ASM) is a game played on a graph realizing the dynamics implicit in the discrete Laplacian matrix of the graph. The purpose of this primer is to apply t…
Orientations, semiorders, arrangements, and parking functions
Sam Hopkins, David Perkinson
It is known that the Pak-Stanley labeling of the Shi hyperplane arrangement provides a bijection between the regions of the arrangement and parking functions. For any graph G, we d…
Canonical Analysis and Stability of Lanczos-Lovelock Gravity
S. Deser, J. Franklin
We perform a space-time analysis of the D>4 quadratic curvature Lanczos-Lovelock (LL) model, exhibiting its dependence on intrinsic/extrinsic curvatures, lapse and shifts. As expec…
No Bel-Robinson Tensor for Quadratic Curvature Theories
S. Deser, J. Franklin
We attempt to generalize the familiar covariantly conserved Bel-Robinson tensor B_{mnab} ~ R R of GR and its recent topologically massive third derivative order counterpart B ~ RDR…
Multi-query quantum sums
David A. Meyer, James Pommersheim
PARITY is the problem of determining the parity of a string of bits given access to an oracle that responds to a query with the bit of th…
Minimal primes of ideals arising from conditional independence statements
Irena Swanson, Amelia Taylor
We consider ideals arising in the context of conditional independence models that generalize the class of ideals considered by Fink [7] in a way distinct from the generalizations o…