MATH6082 - Topics in Analysis II - 2024/25

Announcement

• Please be kindly informed that there will be no class on March 07, 2025.

General Information

Lecturer

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

Time and Venue

• Lecture: Friday, 9:30am-12:15pm, LSB 219

Course Description

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

The background necessary for this course includes some knowledge of measure theory and functional analysis; for example, the contents of Royden's Real Analysis are sufficient.

References

• Peter Walters, An introduction to Ergodic Theory. Springer-Verlag. GTM 79, 1982.
• M. Einsiedler and T. Ward, Ergodic theory with a view towards number theory. Springer-Verlag. GTM 259, 2011.
• W. Parry, Topics in ergodic theory. Cambridge University Press, Cambridge, 2004.
• H. Furstenberg, Recurrence in ergodic theory and combinatorial number theory. Princeton University Press, Princeton, NJ, 1981.

Lecture Notes

• Hand-writing class note on Jan 10 2025
• Hand-writing class note on Jan 17 2025
• Hand-writing class note on Jan 24 2025
• Hand-writing class note on Feb 07 2025
• Hand-writing class note on Feb 21 2025
• Hand-writing class note on Feb 28 2025
• Hand-writing class note on March 14 2025
• Hand-writing class note on March 21 2025

Assessment Scheme

Honesty in Academic Work

The Chinese University of Hong Kong places very high importance on honesty in academic work submitted by students, and adopts a policy of zero tolerance on cheating and plagiarism. Any related offence will lead to disciplinary action including termination of studies at the University. Although cases of cheating or plagiarism are rare at the University, everyone should make himself / herself familiar with the content of the following website:

and thereby help avoid any practice that would not be acceptable.