Colloquium

Starts: October 1, 2009 at 5:00 PM
Location: Jones Hall 306
Contact: Ilya Spitkovsky

Summary

Speaker: Brian Lins (Hampden-Sydney College)

Full Description

Title: Nonexpansive Maps and the Horofunction Boundary

Abstract: A nonexpansive map is a map that does not increase the distance between any two points in its domain.  Nonexpansive maps arise naturally in many settings, including complex analysis, nonnegative matrix theory, and population biology.  Given a nonexpansive map, it is often important to know whether the map has any fixed points and to describe the orbits of the map.  In my talk, I will introduce the horofunction boundary and demonstrate how it can be used shed new light on these questions.