University of Connecticut

Course Info

MATH 5010: Topics in Analysis I

Description: Advanced topics in analysis. With a change of content, this course is repeatable to a maximum of twelve credits.

Credits: 3

MATH 5010 - Section 1: Ergodic Theory

Description: Reviewing Lebesgue spaces. Measure preserving systems, recurrence theorem (Poincare theorem). Subbadditive and Multiplicative theorems and their applications to other theorems, for example Szemeredi's theorem in number theory. Notions of mixing, weak mixing, and unique ergodicity. Spectral theory. Metric and topological entropy.

Prerequisites: Familiarity with the measure theory is recommended. We will remind necessary tools whenever needed.

Offered: Fall

Credits: 3

Sections: Fall 2016 on Storrs Campus

PSCourseID Course Sec Comp Time Room Instructor
14510 5010 001 Lecture TuTh 02:00:00 PM-03:15:00 PM MONT101 Forghani, Behrang