Wayne M. Lawton

activity

20092026

most citedMinimal sequences and the Kadison-Singer problem

2 citations · 2 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2026

Topological and Diophantine properties of lattice subset projections

Wayne M Lawton

This paper uses the Baire category theorem, the Riemannian manifold structure of Grassmannians, and the Khintchine Groshev theorem in Diophantine analysis, to relate properties of…

math.NT2026

Joint distribution of leftmost digits in positional notation and Schanuels's conjecture

Wayne M Lawton

Assume that $n \geq 2$ and $B = (b_{1}, ..., b_{n})$ has distince integer entries $\geq 3.$ For $x > 0$ let $d_{B} (x) := (d_{b_{1}} (x), ..., d_{b_{n}} (x))$ where $d_{b_{i}} (x) \in {1, ..., b_{i} - 1}$ …

math.AG2024

Fourier Quasicrystals on $R^{n}$

Wayne M Lawton, August K. Tsikh

This paper has three aims. First, for $n \geq 1$ we construct a family of real-rooted trigonometric polynomial maps $P : C^{n} \mapsto C^{n}$ whose divisors are Fourier…

math.FA2009★ 2 cited

Minimal sequences and the Kadison-Singer problem

W. Lawton

The Kadison-Singer problem asks: does every pure state on the diagonal sublgebra of the C*-algebra of bounded operators on a separable infinite dimensional Hilbert space admit a un…

Topological and Diophantine properties of lattice subset projections

Joint distribution of leftmost digits in positional notation and Schanuels's conjecture

Fourier Quasicrystals on Rn

Minimal sequences and the Kadison-Singer problem

Fourier Quasicrystals on $R^{n}$