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Jan 02, 2025
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MATH 6200 - Topics in Ergodic Theory3 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.
Course specific fees (in addition to tuition and mandatory): Academic (AF) per hour: $33.10
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