Graph directed Markov systems : geometry and dynamics of limit sets /

Graph directed Markov systems : geometry and dynamics of limit sets /

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Bibliographic Details
Author / Creator:	Mauldin, R. Daniel, 1943-
Imprint:	Cambridge : Cambridge University Press, 2003.
Description:	1 online resource (xi, 281 pages).
Language:	English
Series:	Cambridge tracts in mathematics, 0950-6284 ; 148 Cambridge tracts in mathematics ; 148.
Subject:	Markov processes. Graph theory. Geometric function theory. Limit theorems (Probability theory) Geometric function theory. Graph theory. Limit theorems (Probability theory) Markov processes. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11122425

Hidden Bibliographic Details
Other authors / contributors:	Urbaʹnski, Mariusz.
ISBN:	9780511062452 0511062451 0511070918 9780511070914 661043106X 9786610431069 0521825385 9780521825382 9780511543050 0511543050 1107137675 9781107137677 1280431067 9781280431067 0511204361 9780511204364 0511307225 9780511307225
Notes:	Bibliogr. pages 272-279. Index. English. Print version record.
Summary:	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.
Other form:	Print version: Mauldin, R. Daniel, 1943- Graph directed Markov systems. Cambridge : Cambridge University Press, 2003 0521825385

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.