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Analytic Endomorphisms of the Riemann Sphere

Analytic Endomorphisms of the Riemann Sphere
Author: Mariusz Urbański
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 440
Release: 2023-09-04
Genre: Mathematics
ISBN: 3110769875

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Analytic Endomorphisms of the Riemann Sphere

Analytic Endomorphisms of the Riemann Sphere
Author: Mariusz Urbański
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 487
Release: 2023-09-05
Genre: Mathematics
ISBN: 3110769891

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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.


Current Topics In Analytic Function Theory

Current Topics In Analytic Function Theory
Author: Shigeyoshi Owa
Publisher: World Scientific
Total Pages: 475
Release: 1992-12-31
Genre: Mathematics
ISBN: 9814505692

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This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.Many of these articles emerged essentially from the proceedings of, and various deliberations at, three recent conferences in Japan and Korea: An International Seminar on Current Topics in Univalent Functions and Their Applications which was held in August 1990, in conjunction with the International Congress of Mathematicians at Kyoto, at Kinki University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju.


Current Topics in Analytic Function Theory

Current Topics in Analytic Function Theory
Author: H. M. Srivastava
Publisher: World Scientific
Total Pages: 480
Release: 1992
Genre: Mathematics
ISBN: 9789810209322

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This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.Many of these articles emerged essentially from the proceedings of, and various deliberations at, three recent conferences in Japan and Korea: An International Seminar on Current Topics in Univalent Functions and Their Applications which was held in August 1990, in conjunction with the International Congress of Mathematicians at Kyoto, at Kinki University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju.


Number Theory

Number Theory
Author: David Chudnovsky
Publisher: Springer Science & Business Media
Total Pages: 274
Release: 2011-06-27
Genre: Mathematics
ISBN: 1441990607

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This volume of new research papers marks the 20th anniversary of the New York Number Theory Seminar (NYNTS). Since 1982, NYNTS has presented a range of research in number theory and related fields of mathematics, from physics to geometry to combinatorics and computer science. The speakers have included Field medalists as well as promising lesser known mathematicians whose theorems are significant. The papers presented here are all previously unpublished.


Dynamics, Ergodic Theory and Geometry

Dynamics, Ergodic Theory and Geometry
Author: Boris Hasselblatt
Publisher: Cambridge University Press
Total Pages: 324
Release: 2007-09-24
Genre: Mathematics
ISBN: 0521875412

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Based on the subjects from the Clay Mathematics Institute/Mathematical Sciences Research Institute Workshop titled 'Recent Progress in Dynamics' in September and October 2004, this volume contains surveys and research articles by leading experts in several areas of dynamical systems that have experienced substantial progress. One of the major surveys is on symplectic geometry, which is closely related to classical mechanics and an exciting addition to modern geometry. The survey on local rigidity of group actions gives a broad and up-to-date account of another flourishing subject. Other papers cover hyperbolic, parabolic, and symbolic dynamics as well as ergodic theory. Students and researchers in dynamical systems, geometry, and related areas will find this book fascinating. The book also includes a fifty-page commented problem list that takes the reader beyond the areas covered by the surveys, to inspire and guide further research.


Nonlinear Phenomena In Physics Of Fluids And Plasmas - Proceedings Of The Enea Workshop On Nonlinear Dynamics – Volume 2

Nonlinear Phenomena In Physics Of Fluids And Plasmas - Proceedings Of The Enea Workshop On Nonlinear Dynamics – Volume 2
Author: M Pettini
Publisher: World Scientific
Total Pages: 210
Release: 1991-03-22
Genre:
ISBN: 9814611190

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This Workshop in nonlinear dynamics and mathematical physics, organized by the Italian Nuclear Energy Agency (ENEA) in Bologna, is intended to give an updated overview of modern trends in the field of nonlinear dynamics with emphasis on applications to physics, quantum theory, plasma physics and fluid dynamics, optics and electrodynamics, computer simulation, and neural networks.


Global Analysis

Global Analysis
Author: Shiing-Shen Chern
Publisher: American Mathematical Soc.
Total Pages: 378
Release: 1970-12-31
Genre: Mathematics
ISBN: 0821814141

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