Graph Directed Markov Systems Geometry and Dynamics of Limit Sets 2003 Edition at Meripustak

Graph Directed Markov Systems Geometry and Dynamics of Limit Sets 2003 Edition

Books from same Author: R. Daniel Mauldin, Mariusz Urbanski

Books from same Publisher: Cambridge

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  • General Information  
    Author(s)R. Daniel Mauldin, Mariusz Urbanski
    PublisherCambridge
    ISBN9780521825382
    Pages294
    BindingHardback
    LanguageEnglish
    Publish YearAugust 2003

    Description

    Cambridge Graph Directed Markov Systems Geometry and Dynamics of Limit Sets 2003 Edition by R. Daniel Mauldin, Mariusz Urbanski

    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. The basic theory is laid out here and the authors have touched on many natural questions arising in its context. However, they also emphasise the many issues and current research topics which can be found in original papers. For example the detailed analysis of the structure of harmonic measures of limit sets, the examination of the doubling property of conformal measures, the extensive study of generalized polynomial like mapping or multifractal analysis of geometrically finite Kleinian groups. This book leads readers onto frontier research in the field, making it ideal for both established researchers and graduate students.