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Last update: T_KMA (27.04.2016)
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Last update: doc. Mgr. Benjamin Vejnar, Ph.D. (10.06.2019)
Předmět je zakončen zkouškou. |
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Last update: T_KMA (27.04.2016)
1. A. Katok, B. Hasselblatt, Introduction to the modern theory of dynamical systems, Cambridge University Press, Cambridge, 1995.
2. P. Kitchens, Symbolic dynamics: one-sided, two-sided, and countable state Markov shifts, Universitext, Springer-Verlag, Berlin Heidelberg New York, 1998.
3. P. Walters, An introduction to ergodic theory, Springer-Verlag, Berlin Heidelberg New York, 1982. |
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Last update: doc. Mgr. Benjamin Vejnar, Ph.D. (06.10.2017)
Zkouška má ústní formu s písemnou přípravou. Studentovi bude zadáno téma, ke kterému si připraví související věty, definice a důkazy. |
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Last update: T_KMA (27.04.2016)
Our lecture will be focused on both topological and measure-theoretical dynamical systems. The main attention will be paid to important dynamical phenomena and related results: periodicity, recurrence, minimality and transitivity, complexity measured by topological entropy, invariant measure, measure-theoretical entropy and variational principle, ergodicity and mixing. All parts will be illustrated by examples. |