Complex dynamics is one of the most fascinating subjects of study and research in mathematics. This third volume in the series entitled Non-Invertible Dynamical Systems not only examines topological and analytical properties of the iteration of rational functions on the Riemann sphere (in particular, the Fatou and Julia sets) but also focuses on thermodynamic, ergodic and fractal properties of these functions (notably, equilibrium states, Bowen's formula and Sullivan's conformal measures). This volume builds on the first two volumes in the series while simultaneously developing some methods and techniques specific to rational functions.
- 440 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Analytic Endomorphisms of the Riemann Sphere
About this book
Trusted by 375,005 students
Access to over 1.5 million titles for a fair monthly price.
Study more efficiently using our study tools.
Information
Table of contents
- Title Page
- Copyright
- Contents
- Preface
- 22 The Riemann–Hurwitz formula
- 23 Selected tools from complex analysis
- 24 Dynamics and topology of rational functions: their Fatou and Julia sets
- 25 Selected technical properties of rational functions
- 26 Expanding (or hyperbolic), subexpanding, and parabolic rational functions: topological outlook
- 27 Equilibrium states for rational functions and Hölder continuous potentials with pressure gap
- 28 Invariant measures: fractal and dynamical properties
- 29 Sullivan’s conformal measures for rational functions
- 30 Conformal measures, invariant measures and fractal geometry of expanding rational functions
- 31 Conformal measures, invariant measures and fractal geometry of parabolic rational functions
- 32 Conformal measures, invariant measures and fractal geometry of subexpanding rational functions
- Subject Index
Frequently asked questions
Yes, you can cancel anytime from the Subscription tab in your account settings on the Perlego website. Your subscription will stay active until the end of your current billing period. Learn how to cancel your subscription
No, books cannot be downloaded as external files, such as PDFs, for use outside of Perlego. However, you can download books within the Perlego app for offline reading on mobile or tablet. Learn how to download books offline
We are an online textbook subscription service, where you can get access to an entire online library for less than the price of a single book per month. With over 1.5 million books across 990+ topics, we’ve got you covered! Learn about our mission
Look out for the read-aloud symbol on your next book to see if you can listen to it. The read-aloud tool reads text aloud for you, highlighting the text as it is being read. You can pause it, speed it up and slow it down. Learn more about Read Aloud
Yes! You can use the Perlego app on both iOS and Android devices to read anytime, anywhere — even offline. Perfect for commutes or when you’re on the go.
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Please note we cannot support devices running on iOS 13 and Android 7 or earlier. Learn more about using the app
Yes, you can access Analytic Endomorphisms of the Riemann Sphere by Mario Roy,Sara Munday,Mariusz Urbański in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over 1.5 million books available in our catalogue for you to explore.