A&C Seminar:
Fall 2008, Fridays, Milner 317, 3:00–3:50 p.m.
November 14 
Dimitrije Kostic 
3:00–3:50 
The Combinatorics of Integer Points in a Certain Polytope 

Abstract: Let (x_{1},...,x_{n}) have nonnegative integer coordinates (and x_{1}>0). Stanley and Pitman studied the set of integer points (y_{1},...,y_{n}) satisfying y_{1}+...+y_{k} ≤ x_{1}+...+x_{k} and found a precise formula for this number in terms of the Ehrhart polynomial. We will explore further questions related to this set of points, particularly the qdistributions of partial sums of the y_{i} and a surprising formula I stumbled across accidentally. 

