MAT 656: Transcendental Dynamics

Spring 2014

Christopher Bishop

Professor, Mathematics
SUNY Stony Brook

Office: 4-112 Mathematics Building
Phone: (516)-632-8274
Dept. Phone: (516)-632-8290
FAX: (516)-632-7631

TuTh 11:30pm to 12:50pm, Math 4-130

I am trying to write some lecture notes to go along with the class. You can find the current version here , but they are incomplete, very rough and have no references yet.

Introduction to the course

This is a continuation of the MAT 627 course I taught in Spring 2013, but it is not necessary to have attended the previous course to understand this one. I will start by reviewing the material I covered last time (without most of the proofs, but these are included in my course notes, before starting on new material.

The new material will start with an introduction to extremal length and quasiconformal mappings, including (I hope) a proof of the measurable Riemann mapping theorem. We will then cover a variety of topics that depend on these techniques, such as: Sullivan's non-wandering domain theorem for entire functions with finite singular sets; the construction of entire functions by quasiconformal folding; the construction of annular Fatou components; the fact the maps between Fatou components omit at most one point.

Webpage for the previous course, MAT 627, Spring 2013. This page gives a brief introduction to the topics covered in both classes and links to a number of relevant papers.

Send the lecturer (C. Bishop) email at: bishop - at -

Send email to the whole class ((C. Bishop and students) class list