Transcendental Dynamics and Complex Analysis

Transcendental Dynamics and Complex Analysis PDF Author: Philip J. Rippon
Publisher: Cambridge University Press
ISBN: 0521683726
Category : Mathematics
Languages : en
Pages : 452

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Book Description
Presenting papers by researchers in transcendental dynamics and complex analysis, this exciting new and modern book is written in honor of Noel Baker, who laid the foundations of transcendental complex dynamics. The papers describe the state of the art in this subject, with new results on completely invariant domains, wandering domains, the exponential parameter space, and normal families. The inclusion of comprehensive survey articles on dimensions of Julia sets, buried components of Julia sets, Baker domains, Fatou components of functions of small growth, and ergodic theory of transcendental meromorphic functions means this is essential reading for students and researchers in complex dynamics and complex analysis.

Transcendental Dynamics and Complex Analysis

Transcendental Dynamics and Complex Analysis PDF Author: Philip J. Rippon
Publisher: Cambridge University Press
ISBN: 0521683726
Category : Mathematics
Languages : en
Pages : 452

Get Book Here

Book Description
Presenting papers by researchers in transcendental dynamics and complex analysis, this exciting new and modern book is written in honor of Noel Baker, who laid the foundations of transcendental complex dynamics. The papers describe the state of the art in this subject, with new results on completely invariant domains, wandering domains, the exponential parameter space, and normal families. The inclusion of comprehensive survey articles on dimensions of Julia sets, buried components of Julia sets, Baker domains, Fatou components of functions of small growth, and ergodic theory of transcendental meromorphic functions means this is essential reading for students and researchers in complex dynamics and complex analysis.

Finite or Infinite Dimensional Complex Analysis

Finite or Infinite Dimensional Complex Analysis PDF Author: Joji Kajiwara
Publisher: CRC Press
ISBN: 1482270595
Category : Mathematics
Languages : en
Pages : 651

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Book Description
This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.

Explorations in Complex Analysis

Explorations in Complex Analysis PDF Author: Michael A. Brilleslyper
Publisher: American Mathematical Soc.
ISBN: 1614441081
Category : Mathematics
Languages : en
Pages : 393

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Book Description
Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.

Complex Analysis and Potential Theory

Complex Analysis and Potential Theory PDF Author: Tahir Aliyev Azero?lu
Publisher: World Scientific
ISBN: 9812778837
Category : Mathematics
Languages : en
Pages : 301

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Book Description
This volume gathers the contributions from outstanding mathematicians, such as Samuel Krushkal, Reiner Kuhnau, Chung Chun Yang, Vladimir Miklyukov and others.It will help researchers to solve problems on complex analysis and potential theory and discuss various applications in engineering. The contributions also update the reader on recent developments in the field. Moreover, a special part of the volume is completely devoted to the formulation of some important open problems and interesting conjectures.

Surveys in Combinatorics 2011

Surveys in Combinatorics 2011 PDF Author: Robin Chapman
Publisher: Cambridge University Press
ISBN: 1139503685
Category : Mathematics
Languages : en
Pages : 447

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Book Description
This volume contains articles based on the invited lectures given at the 23rd British Combinatorial Conference, held in July 2011 at the University of Exeter. Each article surveys an area of current research in combinatorial mathematics and will be invaluable to anyone wishing to keep abreast of modern developments.

Permutation Groups and Cartesian Decompositions

Permutation Groups and Cartesian Decompositions PDF Author: Cheryl E. Praeger
Publisher: London Mathematical Society Le
ISBN: 0521675065
Category : Mathematics
Languages : en
Pages : 338

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Book Description
Concise introduction to permutation groups, focusing on invariant cartesian decompositions and applications in algebra and combinatorics.

Topological Methods in Group Theory

Topological Methods in Group Theory PDF Author: N. Broaddus
Publisher: Cambridge University Press
ISBN: 1108530508
Category : Mathematics
Languages : en
Pages : 211

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Book Description
This volume collects the proceedings of the conference 'Topological methods in group theory', held at Ohio State University in 2014 in honor of Ross Geoghegan's 70th birthday. It consists of eleven peer-reviewed papers on some of the most recent developments at the interface of topology and geometric group theory. The authors have given particular attention to clear exposition, making this volume especially useful for graduate students and for mathematicians in other areas interested in gaining a taste of this rich and active field. A wide cross-section of topics in geometric group theory and topology are represented, including left-orderable groups, groups defined by automata, connectivity properties and Σ-invariants of groups, amenability and non-amenability problems, and boundaries of certain groups. Also included are topics that are more geometric or topological in nature, such as the geometry of simplices, decomposition complexity of certain groups, and problems in shape theory.

Groups, Graphs and Random Walks

Groups, Graphs and Random Walks PDF Author: Tullio Ceccherini-Silberstein
Publisher: Cambridge University Press
ISBN: 1316817784
Category : Mathematics
Languages : en
Pages : 539

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Book Description
An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the strong connections of the theory with other branches of mathematics, including geometric and combinatorial group theory, potential analysis, and theoretical computer science. This volume brings together original surveys and research-expository papers from renowned and leading experts, many of whom spoke at the workshop 'Groups, Graphs and Random Walks' celebrating the sixtieth birthday of Wolfgang Woess in Cortona, Italy. Topics include: growth and amenability of groups; Schrödinger operators and symbolic dynamics; ergodic theorems; Thompson's group F; Poisson boundaries; probability theory on buildings and groups of Lie type; structure trees for edge cuts in networks; and mathematical crystallography. In what is currently a fast-growing area of mathematics, this book provides an up-to-date and valuable reference for both researchers and graduate students, from which future research activities will undoubtedly stem.

Partial Differential Equations in Fluid Mechanics

Partial Differential Equations in Fluid Mechanics PDF Author: Charles L. Fefferman
Publisher: Cambridge University Press
ISBN: 1108573592
Category : Mathematics
Languages : en
Pages : 339

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Book Description
The Euler and Navier–Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and further advance research in this area. It contains reviews of recent progress and classical results, as well as cutting-edge research articles. Topics include Onsager's conjecture for energy conservation in the Euler equations, weak-strong uniqueness in fluid models and several chapters address the Navier–Stokes equations directly; in particular, a retelling of Leray's formative 1934 paper in modern mathematical language. The book also covers more general PDE methods with applications in fluid mechanics and beyond. This collection will serve as a helpful overview of current research for graduate students new to the area and for more established researchers.

O-Minimality and Diophantine Geometry

O-Minimality and Diophantine Geometry PDF Author: G. O. Jones
Publisher: Cambridge University Press
ISBN: 1107462495
Category : Mathematics
Languages : en
Pages : 235

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Book Description
This book brings the researcher up to date with recent applications of mathematical logic to number theory.