MATH 404
Ergodic Theory Spring 2014
Division III Quantitative/Formal Reasoning
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Class Details

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
The Class: Format: lecture
Limit: none
Expected: 10
Class#: 3666
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation: evaluation will be based on presentations, problem assignments and exams
Prerequisites: MATH 350 (formerly 301) or MATH 351 (formerly 305) or permission of instructor
Distributions: Division III Quantitative/Formal Reasoning

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