Dynamics and Topology VIGRE working group
Fall 2007

Time & location: All meetings are n Mondays at 3pm in Gibson Hall 400D .

We begin this seminar by reading the paper “The dynamics of a family of one-dimensional maps,” by Susan Bassein.  The paper studies a very simple family of interval maps, yet there is a surprising variety of dynamical behaviors.  Next we shall investigate dynamical systems on inverse limits of intervals using these maps, looking for topological connections to the dynamics.  After that we shall investigate dynamical systems on intervals, then on  higher dimensional spaces.  We conclude with some holomorphic dynamics, e. g., Julia sets, the Mandelbrot set.

For information, contact James T. Rogers Jr.

Mathematics Department Tulane University 6823 St. Charles Ave New Orleans, LA 70118 phone: (504) 865-5727 fax: (504) 865-5063

Last Updated: October 2, 2007