52 citations · 58 across the 30 of their papers we have counts for
6 papers · 1 filter
A Constructive Finite Field Method for Scattering Points on the Surface of -Dimensional Spheres
Béla Bajnok, Steven B. Damelin, Jenny Li +1
In this exploratory article, we present a constructive method for scattering points on the surface of dimensional spheres which we believe is new and of interest. Indeed, the p…
The Truncated & Supplemented Pascal Matrix and Applications
M. Hua, S. B. Damelin, J. Sun +1
In this paper, we introduce the (with ) truncated, supplemented Pascal matrix which has the property that any columns form a linearly independent set. This…
A Note on an Analytic Approach to the Problem of Finite Matroid Representability, The Cardinality of Sets of k-Independent Vectors over Finite Fields and the Maximum Distance Separable Conjecture
J. Sun, S. B. Damelin
We introduce various quantities that can be defined for an arbitrary finite matroid, and show that certain conditions on these quantities imply that a matroid is not representable…
Typical-Case Gate Approximation and Arithmetic Obstructions in Quaternionic Single-Qubit Compilation
Kingsley Yeon, Steven B. Damelin, Alec Greene
Fault-tolerant quantum computation requires compiling arbitrary one-qubit unitaries into short words over a fixed gate library. For arithmetic libraries such as the Lubotzky-…
On the Whitney distortion extension problem for and and its applications to interpolation and alignment of data in
S. B Damelin, C. Fefferman
In this announcement we consider the following problem. Let , open. In this paper we provide a sharp solution to the following Whitney distortion e…
On the Structure of the Littlewood Polynomials and their Zero Sets
Raphael Reyna, Steven Damelin
In fractal geometry, the main objects of study have been geometric objects with a global dimension that need not be integer valued. More recently, locally fractal objects, ones in…