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SUMMARY:Properties of redistricting Markov chains (Sarah Cannon\, CMC)
DESCRIPTION:Markov chains have become widely-used to generate random political districting plans. These random districting plans can be used to form a baseline for comparison\, and any proposed districting plans that differ significantly from this baseline can be flagged as potentially gerrymandered. However\, very little is rigorously known about these Markov chains – Are they irreducible? What is their mixing time? For some\, even the stationary distribution remains unknown. I will present recent work that answers some of these questions\, which uses tools from probability\, computational geometry\, and more.
URL:https://colleges.claremont.edu/ccms/event/antc-talk-sarah-cannon-cmc/
LOCATION:Davidson Lecture Hall\, CMC\, 340 E 9th St\, Claremont\, CA\, 91711\, United States
CATEGORIES:Algebra / Number Theory / Combinatorics Seminar
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