Homomesy: Theory, Applications, and Explorations

Gregor Grote
Graduate Student
University of Wisconsin-Milwaukee

Homomesy is a phenomenon that occurs in combinatorial structures when the average value of a statistic over each orbit is the same. This talk explores the theory of homomesy for arbitrary sets, functions, and statistics. I provide general results about homomesy and show how these can be used to solve problems in combinatorics more efficiently.

Advisor:
Pamela E. Harris

Committee Members:
Suzanne L. Boyd
David Spade