7 citations · 11 across the 10 of their papers we have counts for
12 papers
The Rate of the Delsarte Bound for Binary Codes and Spheres
Andrew Salmon
We give the asymptotic rate of Delsarte's linear programming bound for binary codes and spherical codes. This extends previous work of the author which formulated and proved an ana…
The half-rate linear programming bound for binary codes is
Andrew Salmon
In their work on sphere packing and the modular bootstrap, Afkhami-Jeddi, Cohn, Hartman, de Laat, and Tajdini conjectured the exact high-dimensional exponent of the Cohn-Elkies sph…
Linear Programming Bounds for Fibered Sphere Packings
Andrew Salmon
We study linear programming (LP) bounds for sphere packings that fiber over translates of a fixed lattice of lower rank, as well as their dual formulations. In doing so, we place t…
Nonexistence of finite-dimensional estimation algebras on closed smooth manifolds
Jiayi Kang, Andrew Salmon, Stephen Shing-Toung Yau
Estimation algebras have been extensively studied in Euclidean space, where finite-dimensional estimation algebras form the foundation of the Kalman and Benes filters, and have con…
Unipotent nearby cycles and nearby cycles over general bases
Andrew Salmon
We show that under some conditions, two constructions of nearby cycles over general bases coincide. More specifically, we show that under the assumption of -factorizability, the…
Restricted shtukas and -factorizable sheaves
Andrew Salmon
We show that Lusztig's theories of two-sided cells and non-unipotent representations of a reductive group over a finite field are compatible with the V. Lafforgue's automorphic-to-…
Three-point bounds for sphere packing
Henry Cohn, David de Laat, Andrew Salmon
We define three-point bounds for sphere packing that refine the linear programming bound, and we compute these bounds numerically using semidefinite programming by choosing a trunc…
Sphere packing bounds via rescaling
Henry Cohn, Andrew Salmon
We study the relationship between local and global density for sphere packings, and in particular the convergence of packing densities in large, compact regions to the Euclidean li…
Unipotent nearby cycles and the cohomology of shtukas
Andrew Salmon
We give cases in which nearby cycles commutes with pushforward from sheaves on the moduli stack of shtukas to a product of curves over a finite field. The proof systematically uses…
Topology of tropical moduli of weighted stable curves
Alois Cerbu, Steffen Marcus, Luke Peilen +2
The moduli space of tropical -weighted stable curves of volume is naturally identified with the dual complex of the divisor of singular curves in Hassett's spaces…
Union of Random Trees and Applications
Austen James, Matthew Larson, Daniel Montealegre +1
In 1986, Janson showed that the number of edges in the union of random spanning trees in the complete graph is a shifted Poisson distribution. Using results from the theo…
On the choice number of complete multipartite graphs with part size four
H. A. Kierstead, Andrew Salmon, Ran Wang
Let denote the choice number of a graph , and let be the complete -partite graph with vertices in each part. Erdős, Rubin, and Taylor showed th…