**Ergodic Theory (Q)**

*Last offered Spring 2014*

Ergodic theory studies the probabilistic behavior of dynamical systems as they evolve through time. This course will be an introduction to the basic notions in ergodic theory. The course starts with an introduction to measure theory: (sigma-algebras, measurable sets and measurable transformations and Lebesgue integration). Then we will cover ergodic, weak mixing, mixing, and Bernoulli transformations, and transformations admitting and not admitting an invariant measure. There will be an emphasis on specific examples such as group rotations, the binary odometer transformations, and rank-one constructions. We will aslo cover some notions from topological dynamics. For the textbook: http://www.ams.org/bookstore-getitem/item=STML-42

**lecture**

*Class Format:***evaluation will be based on presentations, problem assignments and exams**

*Requirements/Evaluation:*

*Additional Info:*

*Additional Info2:***MATH 350 or MATH 351 or permission of instructor**

*Prerequisites:*

*Enrollment Preference:*

*Department Notes:*

*Material and Lab Fees:*

*Distribution Notes:***Division III,Quantitative and Formal Reasoning**

*Divisional Attributes:*

*Other Attributes:***none**

*Enrollment Limit:***10**

*Expected Enrollment:***3666**

*Class Number:*CLASSES | ATTR | INSTRUCTORS | TIMES | CLASS NUMBER | ENRL | CONSENT |
---|---|---|---|---|---|---|

MATH 404 LEC Ergodic Theory (Q) | Cesar E. Silva |