Meromorphic Dynamics: Volume 1: Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures: New Mathematical Monographs
Autor Janina Kotus, Mariusz Urbańskien Limba Engleză Hardback – 3 mai 2023
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Specificații
ISBN-13: 9781009215916
ISBN-10: 1009215914
Pagini: 420
Dimensiuni: 156 x 235 x 31 mm
Greutate: 0.84 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria New Mathematical Monographs
Locul publicării:Cambridge, United Kingdom
ISBN-10: 1009215914
Pagini: 420
Dimensiuni: 156 x 235 x 31 mm
Greutate: 0.84 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria New Mathematical Monographs
Locul publicării:Cambridge, United Kingdom
Cuprins
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.
Notă biografică
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.
Descriere
A comprehensive and detailed presentation of finite and infinite ergodic theory, fractal measures, and thermodynamic formalism.