Coverart for item
The Resource Graph directed Markov systems : geometry and dynamics of limit sets, R. Daniel Mauldin and Mariusz Urbanski

Graph directed Markov systems : geometry and dynamics of limit sets, R. Daniel Mauldin and Mariusz Urbanski

Label
Graph directed Markov systems : geometry and dynamics of limit sets
Title
Graph directed Markov systems
Title remainder
geometry and dynamics of limit sets
Statement of responsibility
R. Daniel Mauldin and Mariusz Urbanski
Creator
Contributor
Subject
Language
eng
Summary
"The main focus of this book is the exploration of the geometric and dynamic properties of a far reaching generalization of a conformal iterated function system - a Graph Directed Markov System. These systems are very robust in that they apply to many settings that do not fit into the scheme of conformal iterated systems." "This book leads readers onto frontier research in the field, making it ideal for both established researchers and graduate students."--BOOK JACKET
Cataloging source
UKM
http://library.link/vocab/creatorDate
1943-
http://library.link/vocab/creatorName
Mauldin, R. Daniel
Index
index present
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
Urbaʹnski, Mariusz
Series statement
Cambridge tracts in mathematics
Series volume
148
http://library.link/vocab/subjectName
  • Markov processes
  • Graph theory
  • Geometric function theory
  • Limit theorems (Probability theory)
Label
Graph directed Markov systems : geometry and dynamics of limit sets, R. Daniel Mauldin and Mariusz Urbanski
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 272-279) and index
Contents
  • Introduction
  • 1.
  • Preliminaries.
  • p. 1
  • 2.
  • Symbolic Dynamics.
  • p. 4
  • 3.
  • Holder Families of Functions and F-Conformal Measures.
  • p. 54
  • 4.
  • Conformal Graph Directed Markov Systems.
  • p. 62
  • 5.
  • Examples of GDMSs.
  • p. 136
  • 6.
  • Conformal Iterated Function Systems.
  • p. 144
  • 7.
  • Dynamical Rigidity of CIFSs.
  • p. 171
  • 8.
  • Parabolic Iterated Function Systems.
  • p. 209
  • 9.
  • Parabolic Systems: Hausdorff and Packing Measures.
  • p. 238
  • App. 1.
  • Ergodic theory.
  • p. 262
  • App. 2.
  • Geometric measure theory.
  • p. 264
  • Glossary of Notation.
  • p. 269
  • Bibliography.
  • p. 272
  • Index.
  • p. 280
Control code
50937020
Dimensions
24 cm.
Extent
xi, 281 p.
Isbn
9780521825382
Lccn
2003279235
Label
Graph directed Markov systems : geometry and dynamics of limit sets, R. Daniel Mauldin and Mariusz Urbanski
Publication
Bibliography note
Includes bibliographical references (p. 272-279) and index
Contents
  • Introduction
  • 1.
  • Preliminaries.
  • p. 1
  • 2.
  • Symbolic Dynamics.
  • p. 4
  • 3.
  • Holder Families of Functions and F-Conformal Measures.
  • p. 54
  • 4.
  • Conformal Graph Directed Markov Systems.
  • p. 62
  • 5.
  • Examples of GDMSs.
  • p. 136
  • 6.
  • Conformal Iterated Function Systems.
  • p. 144
  • 7.
  • Dynamical Rigidity of CIFSs.
  • p. 171
  • 8.
  • Parabolic Iterated Function Systems.
  • p. 209
  • 9.
  • Parabolic Systems: Hausdorff and Packing Measures.
  • p. 238
  • App. 1.
  • Ergodic theory.
  • p. 262
  • App. 2.
  • Geometric measure theory.
  • p. 264
  • Glossary of Notation.
  • p. 269
  • Bibliography.
  • p. 272
  • Index.
  • p. 280
Control code
50937020
Dimensions
24 cm.
Extent
xi, 281 p.
Isbn
9780521825382
Lccn
2003279235

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