Graph directed Markov systems geometry and dynamics of limit sets - Mauldin, R. Daniel (Cambridge University Press, 2003)
Bibliogr. pages 272-279. Index
Introduction -- 1. Preliminaries -- 2. Symbolic dynamics -- 3. Hḻder 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
Graph Directed Markov Systems are a powerful tool with many application areas, including dynamical systems. This text, by acknowledged experts in the field, includes the necessary background material as well as an extensive list of references suggesting further reading