Surveys and non-specialist articles
- Gerrymandering metrics:
How to measure? What’s
the baseline?, Moon Duchin, Bulletin of the American Academy for Arts and Sciences,
Formula Goes to Court: Partisan Gerrymandering and the Efficiency Gap, Mira Bernstein
Moon Duchin, Notices of the American Mathematical Society, Oct 2017.
- Rebooting the mathematics behind gerrymandering, Moon Duchin and
Peter Levine, The
Conversation, Oct 2017.
v. Geometry, popular piece in Scientific American,
Nov 2018. (related interactive and some supporting numerology)
White papers and reports
Tools and interactives
- Gridlandia, an overview of the combinatorics of redistricting
and the principles of Markov chain Monte Carlo, or MCMC.
- GerryChain, our
open-source python-based tool
for MCMC on districting plans. A user guide is in development.
- Ecological inference (EI) is the main statistical technique used to establish racially
polarized voting (RPV).
- M.Duchin and B.Tenner, Discrete
geometry for electoral geography, preprint.
An overview of problems with "compactness" and a call for research on discrete scores.
- D.DeFord, H.Lavenant, Z.Schutzman, and J.Solomon, Total
variation isoperimetric profiles, preprint.
An investigation of multi-scale compactness scores.
- R.Barnes and J.Solomon, Gerrymandering
Implementation flexibility and abuse, preprint. Sensitivity analysis of
- A.Bar-Natan, M.Duchin, and R.Kropholler, Medium-scale curvature
for Cayley graphs, preprint. A pure math riff on an idea for gerrymandering:
we use Ricci
curvature to detect natural clusters in the dual graphs of states and other jurisdictions?
Data and software repositories
- Ohio precinct shapefile
— we contacted all 88 counties in Ohio and collected information about
the locations of voting precincts, then digitized them and produced a publicly available
shapefile, the first for that
hosts a collection
of data and code to study the relationships between different ideas for graph-based
- BVAP explorer,
a jupyter notebook for studying the relationship between Black voting age percentage (BVAP)
and patterns of current Black congressional representation.
Related work by friends of MGGG