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Academic Year 2002/2003

Dynamical Systems
MATH 527 SP

An introduction to dynamical systems via the study of (1) Interation of measure preserving transformations on a measure space. Topics will include entropy and information, symbolic representation of ergodic transformations, K-automorphisms and Bernoulli shifts. (2) Iteration of continuous self maps of compact metric spaces. Topics will include maps of the interval and circle, symbolic dynamics and entropy. (3) Iteration of homeomorphisms of compact metric spaces. Topics will include recurrence, asymptoticity, expansiveness, canonical coordinates and symbolic dynamics.

MAJOR READINGS

EXAMINATIONS AND ASSIGNMENTS

ADDITIONAL REQUIREMENTS and/or COMMENTS

COURSE FORMAT: Lecture

REGISTRATION INFORMATION

Level: GRAD    Credit: 1    Gen Ed Area Dept: NONE    Grading Mode: Student Option   

Prerequisites: NONE Links to Web Resources For This Course.

Last Updated on MAR-18-2003

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