12 citations · 30 across the 3 of their papers we have counts for
9 papers
Implementing partisan symmetry: Problems and paradoxes
Daryl DeFord, Natasha Dhamankar, Moon Duchin +4
We consider the measures of partisan symmetry proposed for practical use in the political science literature, as clarified and developed in Katz, King, and Rosenblatt (2020). Eleme…
The (homological) persistence of gerrymandering
Moon Duchin, Tom Needham, Thomas Weighill
We apply persistent homology, the dominant tool from the field of topological data analysis, to study electoral redistricting. Our method combines the geographic information from a…
Mathematics of Nested Districts: The Case of Alaska
Sophia Caldera, Daryl DeFord, Moon Duchin +2
In eight states, a "nesting rule" requires that each state Senate district be exactly composed of two adjacent state House districts. In this paper we investigate the potential imp…
Locating the representational baseline: Republicans in Massachusetts
Moon Duchin, Taissa Gladkova, Eugene Henninger-Voss +3
Republican candidates often receive between 30 and 40 percent of the two-way vote share in statewide elections in Massachusetts. For the last three Census cycles, MA has held 9-10…
You can hear the shape of a billiard table: Symbolic dynamics and rigidity for flat surfaces
Moon Duchin, Viveka Erlandsson, Christopher J. Leininger +1
We give a complete characterization of the relationship between the shape of a Euclidean polygon and the symbolic dynamics of its billiard flow. We prove that the only pairs of tab…
Gerrymandering metrics: How to measure? What's the baseline?
Moon Duchin
This note outlines three intellectually distinct but not mutually exclusive strategies for measuring partisan gerrymandering: partisan symmetry, efficiency gap, and algorithmic sam…