Home > Science Seminar > Fall 2006 Seminar Schedule > Sharing Triangles and Pascal's Triangle

The Science Seminar Series: October 5, 2006 4pm

Sharing Triangles and Pascal’s Triangle

Dr. Charles Kicey

 Mathematics and Computer Science Department

 
Powell Hall

 Time: 4:00 - 5:00pm

 

Abstract

We consider discrete dynamical systems that update a future state based up the previous state(s). One classic example is the competition between a predator and prey species, where for example, a large prey population causes the predator population to grow, which in turn decreases the prey. We focus a very simple sharing scheme, and give a simple solution to its long term behavior. The proof has a surprising connection to Pascal's triangle. A minimal mathematical background is assumed.