A comprehensive course on entropy in dynamical systems ideal for graduate students learning the subject from scratch.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Tomasz Downarowicz is Full Professor of Mathematics at Wroclaw University of Technology, Poland.
Inhaltsangabe
Introduction Part I. Entropy in Ergodic Theory: 1. Shannon information and entropy 2. Dynamical entropy of a process 3. Entropy theorems in processes 4. Kolmogorov-Sinai entropy 5. The ergodic law of series Part II. Entropy in Topological Dynamics: 6. Topological entropy 7. Dynamics in dimension zero 8. The entropy structure 9. Symbolic extensions 10. A touch of smooth dynamics Part III. Entropy Theory for Operators: 11. Measure theoretic entropy of stochastic operators 12. Topological entropy of a Markov operator 13. Open problems in operator entropy Appendix A. Toolbox Appendix B. Conditional S-M-B List of symbols References Index.
Introduction Part I. Entropy in Ergodic Theory: 1. Shannon information and entropy 2. Dynamical entropy of a process 3. Entropy theorems in processes 4. Kolmogorov-Sinai entropy 5. The ergodic law of series Part II. Entropy in Topological Dynamics: 6. Topological entropy 7. Dynamics in dimension zero 8. The entropy structure 9. Symbolic extensions 10. A touch of smooth dynamics Part III. Entropy Theory for Operators: 11. Measure theoretic entropy of stochastic operators 12. Topological entropy of a Markov operator 13. Open problems in operator entropy Appendix A. Toolbox Appendix B. Conditional S-M-B List of symbols References Index.
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