Sponsored by the Rutgers University Department of Mathematics and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

**Co-organizers:****Andrew Baxter**, Rutgers University, baxter{at} math [dot] rutgers [dot] edu**Lara Pudwell**, Rutgers University, lpudwell {at} math [dot] rutgers [dot] edu**Doron Zeilberger**, Rutgers University, zeilberg {at} math [dot] rutgers [dot] edu

Title: How to Experiment with Logjams

Speaker: **Dimitrije Kostic**, Drew University

Date: Thursday, November 15, 2007 5:00pm

Location: Hill Center, Room 705, Rutgers University, Busch Campus, Piscataway, NJ

Abstract:

In this talk, we present the notion of an x-logjam, where x is a vector of n integers. The set of x-logjams can be thought of as a structure similar to the order ideal (under the partial order of majorization) of x. We explore some combinatorial and number theoretic aspects of these structures, and how some random experimentation led to an interesting conjecture.