ALERT: This system is being upgraded on Tuesday December 12. It will not be available
for use for several hours that day while the upgrade is in progress. Deposits to DukeSpace
will be disabled on Monday December 11, so no new items are to be added to the repository
while the upgrade is in progress. Everything should be back to normal by the end of
day, December 12.
Browsing by Author "Herschlag, Gregory"
Now showing items 1-7 of 7
-
A Merge-Split Proposal for Reversible Monte Carlo Markov Chain Sampling of Redistricting Plans
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
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
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
(2019-11-22)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 that counties ... -
Redistricting: Drawing the Line
(2017-04-12)We develop methods to evaluate whether a political districting accurately represents the will of the people. To explore and showcase our ideas, we concentrate on the congressional districts for the U.S. House of representatives ... -
The Signature of Gerrymandering in Rucho v. Common Cause
(South Carolina Law Review, 2019)
