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    University of Florida
   
 
  Nov 17, 2017
 
 
    
2011-2012 Graduate Catalog [ARCHIVED CATALOG/PREVIOUS EDITION]

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MTG 6401: Ergodic Theory and Dynamical Systems I


Credits: 3                    Grading Scheme: Letter

Prerequisite: MTG 5317 , MAA 6617 , or consent of instructor.      

Periodic points, recurrence, nonwandering and chain recurrent sets, topological conjugacy, minimal sets. Topological entropy, metric entropy. Measure preserving transformations, ergodicity, mixing. Birkhoff’s ergodic theorem. Bernouilli shifts. Anosov diffeomorphisms, structural stability, hyperbolic sets. Basic sets, symbolic dynamics, Markov partitions. Lyapunov exponents, KAM (Kolmogorov, Arnold, Moser) theory.



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