MATH 304
Introduction to Lebesgue Measure and Measurably Dynamics Spring 2013
Division III Quantitative/Formal Reasoning
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Measurable dynamics, or ergodic theory, studies the probabilistic behavior of dynamical systems as they evolve through time. This course starts with an introduction to Lebesgue measure on the real line. Then it introduces basic ideas from measurable dynamics such as ergodicity, weak mixing, and mixing. There will be an emphasis on examples such as Bernoulli transformations, rotations, the binary odometer transformations, and rank-one constructions.
The Class: Format: lecture
Limit: none
Grading: OPG
Requirements/Evaluation: students will be expected to give short presentations in class. Evaluation will be based on presentations, problem assignments and exams
Extra Info: not available as Pass/Fail
Prerequisites: Mathematics 301 or 305 or permission of instructor
Distributions: Division III Quantitative/Formal Reasoning

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