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    Mar 28, 2024  
2016-2017 Graduate Catalog 
    
2016-2017 Graduate Catalog [ARCHIVED CATALOG]

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MATH 6200 - Topics in Ergodic Theory

3 hours

Basic ergodic theorems. Mixing properties and entropy. Oseledec’s multiplicative ergodic theorem and Lyapunov exponents. Applications to dynamical systems. Rational functions and Julia sets. Wandering across Mandelbrot set. Sullivan’s conformal measure. Thermodynamical formalism and conformal measures applied to compute Hausdorff measures and packing measures of attractors, repellors and Julia sets. Dimension invariants (Hausdorff, box and packing dimension) of these sets.

Prerequisite(s): Consent of department.

May be repeated for credit.



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