Analytic Endomorphisms of the Riemann Sphere

Mariusz Urbański, Mario Roy, Sara Munday

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Hardback

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English

De Gruyter
05 September 2023

Mathematics; Calculus & mathematical analysis; Differential calculus & equations; Geometry; Probability & statistics

Series: De Gruyter Expositions in Mathematics

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.

By: Mariusz Urbański, Mario Roy, Sara Munday
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm,
Weight: 867g
ISBN: 9783110769845
ISBN 10: 3110769840
Series: De Gruyter Expositions in Mathematics
Pages: 440
Publication Date: 05 September 2023
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Hardback
Publisher's Status: Active

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