Colloquium March 7
Date: Tuesday March 7
Time: 16:00 to 17:00
Place: 455 McBryde (Commons Room)
Speaker: Suzanne Lynch Hruska of Indiana Univ
Title: The Dynamics of Polynomial Skew Products of C2
Abstract
Our goal is to develop and use rigorous computer
investigations to study the dynamics of polynomial skew products of
C2; i.e., maps of the form
f(z,w) = (p(z), q(z,w)),
where p and q are polynomials of the same degree d
> 2. The skew products we are most interested in studying
are those maps which are Axiom A. Such maps have the ``simplest''
chaotic dynamics, and stability under small perturbation, thus are
amenable to computer investigation.
In this talk, we will describe a new class of skew products with
interesting dynamics,
and sketch how we have proven using rigorous computer techniques that
sample maps from this class are Axiom A. This leads us to conjecture
that all (or nearly all)
maps in this class are Axiom A.
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