Non-Invertible Dynamical Systems. Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry /

Non-Invertible Dynamical Systems. Finer Thermodynamic Formalism – Distance Expanding Maps and Countable State Subshifts of Finite Type, Conformal GDMSs, Lasota-Yorke Maps and Fractal Geometry / / Mariusz Urbański, Mario Roy, Sara Munday.

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 Kol...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
VerfasserIn:
Urbański, Mariusz,
Munday, Sara,
Roy, Mario,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2022]
©2022
Year of Publication:2022
Language:English
Series:De Gruyter Expositions in Mathematics , 69/2
Online Access:
Physical Description:1 online resource (XXX, 494 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • List of Figures
  • Introduction to Volume 2
  • Contents
  • 13 Gibbs states and transfer operators for open, distance expanding systems
  • 14 Lasota–Yorke maps
  • 15 Fractal measures and dimensions
  • 16 Conformal expanding repellers
  • 17 Countable state thermodynamic formalism
  • 18 Countable state thermodynamic formalism: finer properties
  • 19 Conformal graph directed Markov systems
  • 20 Real analyticity of topological pressure and Hausdorff dimension
  • 21 Multifractal analysis for conformal graph directed Markov systems
  • Appendix A – A selection of classical results
  • Appendix B – The Ionescu-Tulcea and Marinescu theorem
  • Bibliography
  • Index

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