Article - preprint
The focus of this paper is the linear algebraic framework in which the spectral analysis of voting data like that above is carried out. As we will show, this framework can be used to pinpoint voting coalitions in small voting bodies like the United States Supreme Court. Our goal is to show how simple ideas from linear algebra can come together to say something interesting about voting. And what could be more simple than where our story begins— with counting.
© 2006 Mathematics Magazine
"Spectral analysis of the Supreme Court." (With B. Lawson and D. Uminsky), Mathematics Magazine 79 (2006), no. 5, 340-346