26 citations · 34 across the 10 of their papers we have counts for
11 papers
Continuum Fibonacci Schrödinger Operators in the Strongly Coupled Regime
David Damanik, Mark Embree, Jake Fillman +2
We study Schrödinger operators on the real line whose potentials are generated by the Fibonacci substitution sequence and a rule that replaces symbols by compactly supported potent…
(Don't) Mind the Gap
Natalie Priebe Frank, May Mei, Kitty Yang
Infinite sequences are of tremendous theoretical and practical importance, and in the Information Age sequences of 0s and 1s are of particular interest. Over the past century, the…
The Game of Life on the Robinson Triangle Penrose Tiling: Still Life
Seung Hyeon Mandy Hong, May Mei
We investigate Conway's Game of Life played on the Robinson triangle Penrose tiling. In this paper, we classify all four-cell still lifes.
Discontinuities of the Integrated Density of States for Laplacians Associated with Penrose and Ammann-Beenker Tilings
David Damanik, Mark Embree, Jake Fillman +1
Aperiodic substitution tilings provide popular models for quasicrystals, materials exhibiting aperiodic order. We study the graph Laplacian associated with four tilings from the mu…
Fixed Points of Augmented Generalized Happy Functions II: Oases and Mirages
Breeanne Baker Swart, Susan Crook, Helen G. Grundman +3
An augmented generalized happy function maps a positive integer to the sum of the squares of its base digits plus . For and , a …
Spectral Properties of Continuum Fibonacci Schrödinger Operators
Jake Fillman, May Mei
We study continuum Schrödinger operators on the real line whose potentials are comprised of two compactly supported square-integrable functions concatenated according to an element…
Fixed Points of Augmented Generalized Happy Functions
Breeanne Baker Swart, Kristen A. Beck, Susan Crook +4
An augmented generalized happy function maps a positive integer to the sum of the squares of its base digits plus . In this paper, we study various properties of…
Numbers and the Heights of their Happiness
May Mei, Andrew Read-McFarland
A generalized happy function, maps a positive integer to the sum of its base digits raised to the power. We say that is a base , power, heigh…
Augmented generalized happy functions
Breeanne Baker Swart, Kristen A. Beck, Susan Crook +4
An augmented happy function, maps a positive integer to the sum of the squares of its base- digits and a non-negative integer . A positive integer is in a cyc…
Tridiagonal substitution Hamiltonians
May Mei, William Yessen
We consider a family of discrete Jacobi operators on the one-dimensional integer lattice with Laplacian and potential terms modulated by a primitive invertible two-letter substitut…
Spectra of Discrete Schrödinger Operators with Primitive Invertible Substitution Potentials
May Mei
We study the spectral properties of discrete Schrödinger operators with potentials given by primitive invertible substitution sequences (or by Sturmian sequences whose rotation ang…