Analytic Endomorphisms of the Riemann Sphere: 69 (De Gruyter Expositions in Mathematics, 69/3) - Hardcover

Urbański; Mariusz; Roy; Mario; Munday; Sara

Hardcover

ISBN 10: 3110769840 ISBN 13: 9783110769845

Publisher: De Gruyter, 2022

Synopsis

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.

About this title

About the Author

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

From the Back Cover

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.

Edition details

• Publisher: De Gruyter
• Publication date: 2022
• Language: English
• ISBN 10: 3110769840
• ISBN 13: 9783110769845
• Binding: Hardcover
• Edition number: 1
• Number of pages: 385