Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry
eBook - ePub

Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry

  1. 524 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry

About this book

This book consists of three volumes. The first volume contains introductory accounts of topological dynamical systems, fi nite-state symbolic dynamics, distance expanding maps, and ergodic theory of metric dynamical systems acting on probability measure spaces, including metric entropy theory of Kolmogorov and Sinai. More advanced topics comprise infi nite ergodic theory, general thermodynamic formalism, topological entropy and pressure. Thermodynamic formalism of distance expanding maps and countable-alphabet subshifts of fi nite type, graph directed Markov systems, conformal expanding repellers, and Lasota-Yorke maps are treated in the second volume, which also contains a chapter on fractal geometry and its applications to conformal systems. Multifractal analysis and real analyticity of pressure are also covered. The third volume is devoted to the study of dynamics, ergodic theory, thermodynamic formalism and fractal geometry of rational functions of the Riemann sphere.

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Yes, you can access Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry by Mariusz Urba?ski,Mario Roy,Sara Munday,Mariusz Urba?ski,Mariusz Urba?ski,Mariusz Urbański in PDF and/or ePUB format, as well as other popular books in Mathematics & Geometry. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2022
eBook ISBN
9783110702736
Edition
1

Table of contents

  1. Title Page
  2. Copyright
  3. Contents
  4. Preface
  5. 13 Gibbs states and transfer operators for open, distance expanding systems
  6. 14 Lasota–Yorke maps
  7. 15 Fractal measures and dimensions
  8. 16 Conformal expanding repellers
  9. 17 Countable state thermodynamic formalism
  10. 18 Countable state thermodynamic formalism: finer properties
  11. 19 Conformal graph directed Markov systems
  12. 20 Real analyticity of topological pressure and Hausdorff dimension
  13. 21 Multifractal analysis for conformal graph directed Markov systems
  14. Subject Index