W. Lawton

activity

20072023

most citedKicked-Harper model vs On-Resonance Double Kicked Rotor Model: From Spectral Difference to Topological Equivalence

35 citations · 53 across the 17 of their papers we have counts for

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Showing 2021Show all

4 papers · 1 filter

math.OA2021

Tutorial on Rational Rotation $C^{*}$ --Algebras

Wayne M Lawton

The rotation algebra $A_{θ}$ is the universal $C^{*}$ --algebra generated by unitary operators $U, V$ satisfying the commutation relation $U V = ω V U$ where $ω = e^{2 π i θ} .$ They…

math.AG2021

An Explanation of Mellin's 1921 Paper

Wayne Lawton

In 1921 Mellin published a Comptes Rendu paper computing the principal root of the polynomial $Z^{n} + x_{1} Z^{n_{1}} + \dots + x_{p} Z^{n_{p}} - 1$ using hypergeometric functions of its coe…

math.CA2021

Bohr Almost Periodic Sets of Toral Type

Wayne M. Lawton

A locally finite multiset $(Λ, c),$ $Λ \subset R^{n}, c : Λ \to {1, ..., b}$ defines a Radon measure $μ := \sum_{λ \in Λ} c (λ) δ_{λ}$ that is Bohr almost periodic in the s…