Welcome to a full-year introductory course in Dynamical Systems, with emphasis on Ergodic Theory (measure-theoretic dynamics) and elementary Topological Dynamics. Depending on time and student-interest, we may cover some Symbolic Dynamics. The Second semester will continue with Entropy and then focus on Joinings (of measures and transformations), a topic of active research.
Our Teaching Page has useful information for students in all of my classes. It has my schedule, LOR guidelines, and Usually Useful Pamphlets. One of them is the Checklist (pdf) which gives pointers on what I consider to be good mathematical writing. Further information is at our class-archive URL (I email this private URL directly to students).
The various Math czars who help out:
Computer | Chalk | E-Probs | Blackboard | Time |
---|---|---|---|---|
Joe | Adam | Nick | Nick | James |
Here is Home-A (pdf).
Fri, 23Oct: Today's Class-A (pdf) was so wildly popular that we decided to only have take-home exams in the future.
Authors: | Michael Brin & Garrett Stuck | ISBN-10: | 0-521-80841-3 |
Year: | 2002 | Publisher: | Cambridge University Press |
A particular example of a topological dynamical system is an
IFS, Iterated Function System
,
which is simply a list of linear maps.
(Well … contractive affine maps, actually.)
Here are some low-resolution
IFS examples
I created using a project from MIT designed to teach children how to program.
Greetings. This is a continuation of my Ergodic Theory & Dynamical Systems 1; it should be accessible to anyone who has had a Measure theory course, and knows what the L^{p}-spaces are. Helpful, but not necessary, would be the first few chapters of an introductory text (E.g. Walters, Petersen, Brin&Stuck).
The Project will be due, slid u n d e r my office door (Little Hall 402, Northeast corner) , by 4PM on Friday, 23April2010.
The final project, Home-C must be carefully typed, but diagrams may be hand-drawn.
At all times have a paper copy you can hand-in; I do
NOT accept
electronic versions.
Print out a copy each day, so that you always have the latest version to
hand-in; this, in case your printer or computer fails.
(You are too old for My dog ate my homework.
)
Please follow the guidelines on the Checklist (pdf, 3pages) to earn full credit.
Author: | Eli Glasner | ISBN-10: | 0-8218-3372-3 |
ISBN-13: | 978-0-8218-3372-8 | ||
Year: | 2003 | Publisher: | American Mathematical Society |
Here is Glasner's text at the AMS with an overview, Table of Contents. and a review by Mathematical Reviews. Also available is a short errata sheet (pdf). Currently, there is a $20 discount for AMS members.
The price of Glasner's text at Amazon.com currently (as of 21Oct2009) equals the AMS (undiscounted) price, so you might want to support the AMS and purchase there.