MTH 831 (Fall 2015): Ergodic Theory
Instructor: Hanfeng Li
Office: 104 Mathematics Building. Phone:
645-8762
Office Hours: TR 3-4pm
Lectures: TR 2:00-3:20pm
Room: Math 122
- Course Description
- This is an advanced course on dynamical systems. We shall
discuss combinatorial independence in topological dynamics: how
it unifies various concepts in topological dynamics such as
positive entropy, positive sequence entropy and untameness.
Another feature of combinatorial independence is that it admits
nice functional-analytic description, especially it has
important connection to Banach space theory.
Recommended Reading
D. Kerr and H.
Li, Dynamical entropy in Banach spaces,
D. Kerr and H.
Li, Independence in topological and C*-dynamics,
D. Kerr and H.
Li, Combinatorial independence and sofic entropy,
D. Kerr and H.
Li, Chapter 7 of the book "Ergodic Theory-Independence and
Dichotomies",
W. Huang and X. Ye,
Combinatorial lemmas and applications to
dynamics.
Prerequisite
MTH631. As
the course proceeds, we shall give the definition of various
concepts in topological dynamics. However, you would benefit much
more if you know some basics in dynamical systems already.
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