Non-Invertible Dynamical Systems Volume 3: Analytic Endomorphisms of the Riemann Sphere
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...
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
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Berlin ; Boston
De Gruyter
2023, ©2023
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| Series: | De Gruyter Expositions in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
| Summary: | 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. This Volume 3, is part of a series entitled Non-Invertible Dynamical Systems and presents topological dynamics, thermodynamic formalism, and fractal geometry of rational functions of the Riemann sphere. |
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| Physical Description: | XXVII, pages 926-1334 |
| ISBN: | 978-3-11-076987-6 978-3-11-076989-0 |