Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more

Item added to bagSorry, there was a problem getting your bag informationItem cannot be purchased with the existing contents of your bagItem unavailable online
✕

was added to your bag.

Please try again.

Sorry, this item cannot be purchased in the same transaction as the existing items in your bag.

Please complete the purchase of the items currently in your bag and then add this item in a separate transaction or visit Shopping Help.

Sorry, this product is not currently available to buy online. Please visit Shopping Help.

View bag and checkout
Remove item
✕

Are you sure you want to remove from your bag?

Recommended product

Popular links

Popular links

Meromorphic Dynamics

All titles
Meromorphic Dynamics

Meromorphic Dynamics

Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures
Volume 1:
Janina Kotus, Warsaw University of Technology
Mariusz Urbański, University of North Texas
May 2023
1
Hardback
9781009215916
AUD$211.77
exc GST
Hardback
USD
eBook
    Description

    This text, the first of two volumes, provides a comprehensive and self-contained introduction to a wide range of fundamental results from ergodic theory and geometric measure theory. Topics covered include: finite and infinite abstract ergodic theory, Young's towers, measure-theoretic Kolmogorov-Sinai entropy, thermodynamics formalism, geometric function theory, various kinds of conformal measures, conformal graph directed Markov systems and iterated functions systems, semi-local dynamics of analytic functions, and nice sets. Many examples are included, along with detailed explanations of essential concepts and full proofs, in what is sure to be an indispensable reference for both researchers and graduate students.

    • Largely self-contained, with detailed proofs
    • Highlights the connections between various subfields and aspects of dynamical systems ergodic theory, and other areas of mathematics
    • Brings together research previously scattered across many different papers

    Product details

    June 2023
    Adobe eBook Reader
    9781009215909
    0 pages
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Often bought together

    Meromorphic Dynamics
    Meromorphic Dynamics

    : Hardback

    Elliptic Functions with an Introduction to the Dynamics of Meromorphic Functions

    Graph Directed Markov Systems
    Graph Directed Markov Systems

    : Hardback

    Geometry and Dynamics of Limit Sets

    Dynamics, Ergodic Theory and Geometry
    Dynamics, Ergodic Theory and Geometry

    : Hardback

    Often bought together

    This title is available for institutional purchase via Cambridge Core

    Learn more
    cambridge core banner

    Related Journals

    Journal of the Institute of Mathematics of Jussieu
    Journal of the Institute of Mathematics of Jussieu

    : Journal

    Journal of the Institute of Mathematics of Jussieu covers all domains in pure mathematics.

    Compositio Mathematica
    Compositio Mathematica

    : Journal

    Compositio Mathematica is a prestigious, well-established journal publishing first-class research papers that traditionally focus on the mainstream of pure mathematics. Compositio Mathematica has a broad scope which includes the fields of algebra, number theory, topology, algebraic and differential geometry and (geometric) analysis. Papers on other topics are welcome if they are of broad interest. All contributions are required to meet high standards of quality and originality. The Journal has an international editorial board reflected in the journal content. Online access is free for all papers published 5 years ago or more. Papers published before 1997 are available from the NUMDAM website. Compositio is owned and published by non-profit organisations (the Foundation Compositio Mathematica and the London Mathematical Society) that use any surplus income from journal subscriptions to sponsor mathematics and mathematical research.

    European Journal of Applied Mathematics
    European Journal of Applied Mathematics

    : Journal

    Since 2008 EJAM surveys have been expanded to cover Applied and Industrial Mathematics. Coverage of the journal has been strengthened in probabilistic applications, while still focusing on those areas of applied mathematics inspired by real-world applications, and at the same time fostering the development of theoretical methods with a broad range of applicability. Survey papers contain reviews of emerging areas of mathematics, either in core areas or with relevance to users in industry and other disciplines.Research papers may be in any area of applied mathematics, with special emphasis on new mathematical ideas, relevant to modelling and analysis in modern science and technology, and the development of interesting mathematical methods of wide applicability.

    Ergodic Theory and Dynamical Systems
    Ergodic Theory and Dynamical Systems

    : Journal

    Ergodic Theory and Dynamical Systems focuses on a rich variety of research areas which, although diverse, employ as common themes global dynamical methods. The journal provides a focus for this important and flourishing area of mathematics and brings together many major contributions in the field. The journal acts as a forum for central problems of dynamical systems and of interactions of dynamical systems with areas such as differential geometry, number theory, operator algebras, celestial and statistical mechanics, and biology.

    Related Journals

    Also by this Author

    Contents

    Table of Contents

    • Volume I. Preface
    • Acknowledgments
    • Introduction
    • Part I. Ergodic Theory and Geometric Measures:
    • 1. Geometric measure theory
    • 2. Invariant measures: finite and infinite
    • 3. Probability (finite) invariant measures: basic properties and existence
    • 4. Probability (finite) invariant measures: finer properties
    • 5. Infinite invariant measures: finer properties
    • 6. Measure- theoretic entropy
    • 7. Thermodynamic formalism
    • Part II. Complex Analysis, Conformal Measures, and Graph Directed Markov Systems:
    • 8. Selected topics from complex analysis
    • 9. Invariant measures for holomorphic maps f in A(X) or in Aw(X)
    • 10. Sullivan conformal measures for holomorphic maps f in A(X) and in Aw(X)
    • 11. Graph directed Markov systems
    • 12. Nice sets for analytic maps
    • References
    • Index of symbols
    • Subject index
    • Volume II. Preface
    • Acknowledgments
    • Introduction
    • Part III. Topological Dynamics of Meromorphic Functions:
    • 13. Fundamental properties of meromorphic dynamical systems
    • 14. Finer properties of fatou components
    • 15. Rationally indifferent periodic points
    • Part IV. Elliptic Functions: Classics, Geometry, and Dynamics:
    • 16. Classics of elliptic functions: selected properties
    • 17. Geometry and dynamics of (all) elliptic functions.
      • Show more
    Courses
    Resources
    Additional Information
    About the authors

    Browse by related subject

     
    ✕

    Sorry, this item cannot be purchased in the same transaction as the existing items in your cart.

    Please complete the purchase of the items currently in your cart and then add this item in a separate transaction or contact

    Customer Services