Meromorphic Dynamics
Elliptic Functions with an Introduction to the Dynamics of Meromorphic Functions
Volume 2
£130.00
Part of New Mathematical Monographs
- Authors:
- Janina Kotus, Warsaw University of Technology
- Mariusz Urbański, University of North Texas
- Date Published: May 2023
- availability: In stock
- format: Hardback
- isbn: 9781009215978
£
130.00
Hardback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection.
-
This text, the second of two volumes, builds on the foundational material on ergodic theory and geometric measure theory provided in Volume I, and applies all the techniques discussed to describe the beautiful and rich dynamics of elliptic functions. The text begins with an introduction to topological dynamics of transcendental meromorphic functions, before progressing to elliptic functions, discussing at length their classical properties, measurable dynamics and fractal geometry. The authors then look in depth at compactly non-recurrent elliptic functions. Much of this material is appearing for the first time in book or paper form. Both senior and junior researchers working in ergodic theory and dynamical systems will appreciate what is sure to be an indispensable reference.
Read more- 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, and contains new material not previously published elsewhere
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Date Published: May 2023
- format: Hardback
- isbn: 9781009215978
- length: 480 pages
- dimensions: 235 x 158 x 34 mm
- weight: 0.91kg
- availability: In stock
Table of Contents
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
Part V. Compactly Nonrecurrent Elliptic Functions: First Outlook:
18. Dynamics of compactly norecurrent elliptic functions
19. Various examples of compactly nonrecurrent elliptic functions
Part VI. Compactly Nonrecurrent Elliptic Functions: Fractal Geometry, Stochastic Properties, and Rigidity:
20. Sullivan h-conformal measures for compactly nonrecurrent elliptic functions
21. Hausdorff and packing measures of compactly nonrecurrent regular elliptic functions
22. Conformal invariant measures for compactly nonrecurrent regular elliptic functions
23. Dynamical rigidity of compactly nonrecurrent regular elliptic functions
Appendix A: A quick review of some selected facts from complex analysis of a one-complex variable
Appendix B: Proof of the Sullivan nonwandering theorem for speiser class S
References
Index of symbols
Subject index.
Related Books
related journals
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×