4 citations · 4 across the 3 of their papers we have counts for
4 papers
How Segregation Patterns Affect the Availability of Fair District Plans
William Hager, Betseygail Rand
We create 4200 synthetic cities which vary in percent minority population and their residential segregation patterns. Of these, 1200 are modeled on existing cities, and 3000 are re…
Rotation numbers and rotation classes on one-dimensional tiling spaces
José Aliste-Prieto, Betseygail Rand, Lorenzo Sadun
We extend rotation theory of circle maps to tiling spaces. Specifically, we consider a 1-dimensional tiling space with finite local complexity and study self-maps that are…
A Characterization of Rotation Number on One-Dimensional Tiling Spaces
Betseygail Rand, Lorenzo Sadun
Identity-homotopic self-homeomorphisms of a space of non-periodic 1-dimensional tiling are generalizations of orientation-preserving self-homeomorphisms of circles. We define the a…
An Approximation Theorem for Maps Between Tiling Spaces
Betseygail Rand, Lorenzo Sadun
We show that every continuous map from one translationally finite tiling space to another can be approximated by a local map. If two local maps are homotopic, then the homotopy can…