MATH6081A - Topics in Analysis I - 2015/16

Course Name: 
Topics in Analysis I
Teacher: 
Prof. Dejun FENG
Course Year: 
2015/16
Term: 
1

General Information

Lecturer

  • De-Jun Feng
    • Office: LSB, R211
    • Tel: 39437965
    • Email:

Course Description

The aim of this course is to introduce the basic ingredients in ergodic theory. Topics include the mean and pointwise ergodic theorems, recurrence, ergodicity, mixing properties, information, measure-theoretic entropy, topological entropy, variational principle.

The background necessary for this course is some knowledge of measure theory and function analysis; for example, the contents of Royden's Real Analysis suffice


References

  • P. Walters, An introduction to ergodic theory. Springer-Verlag, 1982
  • W. Parry, Topics in ergodic theory. Cambridge University Press, 1981
  • M. Pollicott and M. Yuri, Dynamical systems and ergodic theory, Cambridge University Press, 1998
  • H. Furstenberg, Recurrence in ergodic thery and combinatorial number theory, Princeton University Press, 1981
  • A. Katok and B. Hasselblatt, Introduction to the modern theory of dynamical systems, Cambridge Uniersity Press, 1995.

Lecture Notes


Assessment Scheme

Presentations 100%

Last updated: December 03, 2015 11:56:19