Thermodynamics of chaotic systems : an introduction

Introduction Part I. Essentials of Nonlinear Dynamics: 1. Nonlinear mappings 2. Probability in the theory of chaotic systems 3. Symbolic dynamics Part II. Essentials of Information Theory and Thermodynamics: 4. The Shannon information 5. Further information measures 6. Generalized canonical distributions 7. The fundamental thermodynamic relations 8. Spin systems Part III. Thermostatistics of Multifractals: 9. Escort distributions 10. Fractals 11. Multifractals 12. Bit cumulants in multifractal distribution 13. Thermodynamics of a finite volume Part IV. Dynamical Analysis of Chaotic Systems: 14. Statistics of dynamical symbol sequences 15. Expansion rate and information loss 16. The topological pressure 17. Transfer operator methods 18. Repellers and escape Part V. Advanced Thermodynamics: 19. Thermodynamics of expanding maps 20. Thermodynamics with several intensive parameters 21. Phase transitions.