Graph directed Markov systems : geometry and dynamics of limit sets [Texte imprimé] [E-Book] / R. Daniel Mauldin and Mariusz Urbaʹnski.
Mauldin, R. Daniel, (author)
Urbański, Mariusz, (author)
Cambridge : Cambridge University Press, 2003
1 online resource (xi, 281 pages)
englisch
9780521825382
9780511543050
Cambridge tracts in mathematics ; 148
Full Text
Table of Contents:
  • Introduction
  • 1. Preliminaries
  • 2. Symbolic dynamics
  • 3. Hl̲der families of functions
  • 4. Conformal graph directed Markov systems
  • 5. Examples of graph directed Markov systems
  • 6. Conformal iterated function systems
  • 7. Dynamical rigidity of conformal iterated function systems
  • 8. Parabolic iterated function systems
  • 9. Parabolic systems: Hausdorff and packing measures.