MATH 404 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
Class Format: lecture
Requirements/Evaluation: evaluation will be based on presentations, problem assignments and exams
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Prerequisites: MATH 350 or MATH 351 or permission of instructor
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Divisional Attributes: Division III,Quantitative and Formal Reasoning
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Enrollment Limit: none
Expected Enrollment: 10
Class Number: 3666
CLASSES ATTR INSTRUCTORS TIMES CLASS NUMBER ENRL CONSENT
MATH 404 LEC Ergodic Theory (Q) Division 3: Science and MathematicsQuantitative and Formal Reasoning Cesar E. Silva
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