Now showing items 1-6 of 6

    • A Merge-Split Proposal for Reversible Monte Carlo Markov Chain Sampling of Redistricting Plans 

      Mattingly, Jonathan; Carter, Daniel; Herschlag, Gregory; Hunter, Zach
      We describe a Markov chain on redistricting plans that makes relatively global moves. The chain is designed to be usable as the proposal in a Markov Chain Monte Carlo (MCMC) algorithm. Sampling the space of plans amounts ...
    • Multi-Scale Merge-Split Markov Chain Monte Carlo for Redistricting 

      Autry, Eric A; Carter, Daniel; Herschlag, Gregory; Hunter, Zach; Mattingly, Jonathan C
      We develop a Multi-Scale Merge-Split Markov chain on redistricting plans. The chain is designed to be usable as the proposal in a Markov Chain Monte Carlo (MCMC) algorithm. Sampling the space of plans amounts to dividing ...
    • Non-reversible Markov chain Monte Carlo for sampling of districting maps 

      Herschlag, Gregory; Mattingly, Jonathan C; Sachs, Matthias; Wyse, Evan
      Evaluating the degree of partisan districting (Gerrymandering) in a statistical framework typically requires an ensemble of districting plans which are drawn from a prescribed probability distribution that adheres to a realistic ...
    • Optimal Legislative County Clustering in North Carolina 

      Mattingly, Jonathan; Carter, Daniel; Hunter, Zach; Teague, Dan; Herschlag, Gregory
      North Carolina's constitution requires that state legislative districts should not split counties. However, counties must be split to comply with the "one person, one vote" mandate of the U.S. Supreme Court. Given ...
    • Quantifying Gerrymandering in North Carolina 

      Mattingly, Jonathan; Herschlag, Gregory; Kang, Han Sung; Luo, Justin; Graves, Christy Vaughn; Bangia, Sachet; Ravier, Robert
      Using an ensemble of redistricting plans, we evaluate whether a given political districting faithfully represents the geo-political landscape. Redistricting plans are sampled by a Monte Carlo algorithm from a probability...
    • The Signature of Gerrymandering in Rucho v. Common Cause 

      Mattingly, Jonathan; Herschlag, Gregory; Chin, Andrew (South Carolina Law Review, 2019)