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Author:   Janina Kotus (Warsaw University of Technology) ,  Mariusz Urbański (University of North Texas)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Dimensions:   Width: 15.60cm , Height: 3.10cm , Length: 23.50cm
Weight:   0.850kg
ISBN:  

9781009215916

ISBN 10:   1009215914
Pages:   420
Publication Date:   04 May 2023
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order  
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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.

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Author Information

Janina Kotus is Professor of Mathematics at the Warsaw University of Technology, Poland. Her research focuses on dynamical systems, in particular holomorphic dynamical systems. Together with I. N. Baker and Y. Lű she laid the foundations for iteration of meromophic functions. Mariusz Urbański is Professor of Mathematics at the University of North Texas. His research interests include dynamical systems, ergodic theory, fractal geometry, iteration of rational and meromorphic functions, open dynamical systems, iterated function systems, Kleinian groups, diophantine approximations, topology and thermodynamic formalism. He is the author of eight books, seven monographs, and more than 200 papers.

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