Analytic Endomorphisms of the Riemann Sphere
Analytic Endomorphisms of the Riemann Sphere

Author: Mariusz Urbański

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2023-09-05

Total Pages: 487

ISBN-13: 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

Published: 1992-12-31

Total Pages: 475

ISBN-13: 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.

Number Theory
Number Theory

Author: David Chudnovsky

Publisher: Springer Science & Business Media

Published: 2011-06-27

Total Pages: 274

ISBN-13: 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

Published: 2007-09-24

Total Pages: 324

ISBN-13: 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

Published: 1991-03-22

Total Pages: 210

ISBN-13: 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.

Published: 1970-12-31

Total Pages: 378

ISBN-13: 0821814141

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Integral Representation
Integral Representation

Author: Walter Roth

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2023-10-04

Total Pages: 266

ISBN-13: 3111315479

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This book presents a wide-ranging approach to operator-valued measures and integrals of both vector-valued and set-valued functions. It covers convergence theorems and an integral representation for linear operators on spaces of continuous vector-valued functions on a locally compact space. These are used to extend Choquet theory, which was originally formulated for linear functionals on spaces of real-valued functions, to operators of this type.

The d-bar Neumann Problem and Schrödinger Operators
The d-bar Neumann Problem and Schrödinger Operators

Author: Friedrich Haslinger

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2023-09-18

Total Pages: 336

ISBN-13: 3111182924

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This book's subject lies in the nexus of partial differential equations, operator theory, and complex analysis. The spectral analysis of the complex Laplacian and the compactness of the d-bar-Neumann operator are primary topics.The revised 2nd edition explores updates to Schrödinger operators with magnetic fields and connections to the Segal Bargmann space (Fock space), to quantum mechanics, and the uncertainty principle.

Dynamical Systems
Dynamical Systems

Author: I?Akov Grigor?evich Sina?

Publisher: World Scientific

Published: 1991

Total Pages: 694

ISBN-13: 9789810204372

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This volume consists of very high quality articles which not only give a very good account of this field in the Soviet Union, but also provide stimulating materials for researchers working on this topic.