Analytic Endomorphisms of the Riemann Sphere

1. Auflage 2023
ISBN: 978-3-11-076984-5
Verlag: De Gruyter

Buch, Englisch, Band Volume 3, 412 Seiten, Format (B × H): 170 mm x 240 mm, Gewicht: 867 g

Reihe: Non-Invertible Dynamical Systems

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.

Zielgruppe

Libraries, academic researchers, and graduate students interested

Autoren/Hrsg.

Urbanski, Mariusz

Roy, Mario

Munday, Sara

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Geometrie
• Mathematik | Informatik Mathematik Stochastik

Über Autor(innen)

Mariusz Urbanski, University of North Texas, USA; Mario Roy, York University, Canada; Sara Munday, John Cabot University, Italy.