Ergodic Theory: Math 646
Meeting : TuTh 1:00 TBA
Instructor : Luc Rey-Bellet
Office : 1423 J LGRT
Phone : 545-6020
E-Mail : luc@math.umass.edu
Office Hours :
Tuesday 2:45--4:00, Thursday 2:45--4:00, or by appointment.
Text: The text is Walter's " An introduction to
ergodic theory".
References
Syllabus:
This course is an introduction to ergodic theory and dynamical
systems. We will first introduce the basic concepts of ergodic theory:
dynamical system, invariant measure, ergodicity and mixing. These will
be illustrated with numerous examples (rotation of the circle,
Bernouilli and Markov shifts, expanding maps, and so on) and their
connection for example with probability, statistical mechanics and
number theory. We then discuss the concept of entropy of a dynamical
system and prove the variational principle as well as the Shannon Mc
Millan theorem.
Homework:
Homework #1
PDF file
Homework #2
PDF file
Homework #3
PDF file