Complex Analysis And Dynamical Systems

Author : Mark Agranovsky,Anatoly Golberg,Fiana Jacobzon,David Shoikhet,Lawrence Zalcman
Publisher : Birkhäuser
Page : 372 pages
File Size : 40,5 Mb
Release : 2018-01-31
Category : Mathematics
ISBN : 9783319701547

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Complex Analysis and Dynamical Systems by Mark Agranovsky,Anatoly Golberg,Fiana Jacobzon,David Shoikhet,Lawrence Zalcman Pdf

This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences. Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves. This volume is dedicated to the memory of Alexander Vasiliev.

Author : M. Reza Rahimi Tabar
Publisher : Springer
Page : 280 pages
File Size : 41,8 Mb
Release : 2019-07-04
Category : Science
ISBN : 9783030184728

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Analysis and Data-Based Reconstruction of Complex Nonlinear Dynamical Systems by M. Reza Rahimi Tabar Pdf

This book focuses on a central question in the field of complex systems: Given a fluctuating (in time or space), uni- or multi-variant sequentially measured set of experimental data (even noisy data), how should one analyse non-parametrically the data, assess underlying trends, uncover characteristics of the fluctuations (including diffusion and jump contributions), and construct a stochastic evolution equation? Here, the term "non-parametrically" exemplifies that all the functions and parameters of the constructed stochastic evolution equation can be determined directly from the measured data. The book provides an overview of methods that have been developed for the analysis of fluctuating time series and of spatially disordered structures. Thanks to its feasibility and simplicity, it has been successfully applied to fluctuating time series and spatially disordered structures of complex systems studied in scientific fields such as physics, astrophysics, meteorology, earth science, engineering, finance, medicine and the neurosciences, and has led to a number of important results. The book also includes the numerical and analytical approaches to the analyses of complex time series that are most common in the physical and natural sciences. Further, it is self-contained and readily accessible to students, scientists, and researchers who are familiar with traditional methods of mathematics, such as ordinary, and partial differential equations. The codes for analysing continuous time series are available in an R package developed by the research group Turbulence, Wind energy and Stochastic (TWiSt) at the Carl von Ossietzky University of Oldenburg under the supervision of Prof. Dr. Joachim Peinke. This package makes it possible to extract the (stochastic) evolution equation underlying a set of data or measurements.

Author : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
Page : 346 pages
File Size : 46,8 Mb
Release : 2011
Category : Calculus of variations
ISBN : 9780821851968

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Complex Analysis and Dynamical Systems IV by Mark Lʹvovich Agranovskiĭ Pdf

The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, and dynamics in infinite-dimensional spaces. In addition, there are several articles dealing with various aspects of Lie groups, control theory, and optimization. Taken together, the articles provide the reader with a panorama of activity in complex analysis and quasiconformal mappings, drawn by a number of leading figures in the field. The companion volume (Contemporary Mathematics, Volume 554) is devoted to general relativity, geometry, and PDE.

Author : Anonim
Publisher : Unknown
Page : 293 pages
File Size : 50,7 Mb
Release : 2017
Category : Electronic
ISBN : 1470429616

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Complex analysis and dynamical systems VII : seventh International Conference, Complex Analysis and Dynamical Systems, May 10-15, 2015, Nahariya, Israel by Anonim Pdf

Author : Léa Blanc-Centi
Publisher : Springer
Page : 173 pages
File Size : 45,6 Mb
Release : 2017-11-03
Category : Mathematics
ISBN : 9783319658377

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Metrical and Dynamical Aspects in Complex Analysis by Léa Blanc-Centi Pdf

The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature, the text focuses on the fine behavior of the Kobayashi metric of complex manifolds and its relationships to dynamical systems, hyperbolicity in the sense of Gromov and operator theory, all very active areas of research. The modern points of view expressed in these notes, collected here for the first time, will be of interest to academics working in the fields of several complex variables and metric geometry. The different topics are treated coherently and include expository presentations of the relevant tools, techniques and objects, which will be particularly useful for graduate and PhD students specializing in the area.

Author : Robert A. Meyers
Publisher : Springer Science & Business Media
Page : 1885 pages
File Size : 46,5 Mb
Release : 2011-10-05
Category : Mathematics
ISBN : 9781461418054

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Mathematics of Complexity and Dynamical Systems by Robert A. Meyers Pdf

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Author : Mark Lʹvovich Agranovskiĭ
Publisher : Unknown
Page : 128 pages
File Size : 52,7 Mb
Release : 2011
Category : Differentiable dynamical systems
ISBN : 0821851969

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Complex Analysis and Dynamical Systems IV: General relativity, geometry, and PDE by Mark Lʹvovich Agranovskiĭ Pdf

Author : Matthijs Koopmans,Dimitrios Stamovlasis
Publisher : Springer
Page : 412 pages
File Size : 45,6 Mb
Release : 2016-02-19
Category : Education
ISBN : 9783319275772

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Complex Dynamical Systems in Education by Matthijs Koopmans,Dimitrios Stamovlasis Pdf

This book capitalizes on the developments in dynamical systems and education by presenting some of the most recent advances in this area in seventeen non-overlapping chapters. The first half of the book discusses the conceptual framework of complex dynamical systems and its applicability to educational processes. The second half presents a set of empirical studies that that illustrate the use of various research methodologies to investigate complex dynamical processes in education, and help the reader appreciate what we learn about dynamical processes in education from using these approaches.

Author : Robert L. Devaney,Bodil Branner
Publisher : American Mathematical Soc.
Page : 223 pages
File Size : 42,5 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821802908

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Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets by Robert L. Devaney,Bodil Branner Pdf

The Mandelbrot set has emerged as one of the most recognizable objects in mathematics. While there is no question of its beauty, relatively few people appreciate the fact that the mathematics behind such images is equally beautiful. This book presents lectures delivered during the AMS Short Course entitled Complex Dynamical Systems: The Mathematics Behind the Mandelbrot and Julia Sets, held at the Joint Mathematics Meetings in Cincinnati in January 1994. The lectures cover a wide range of topics, including the classical work of Julia and Fatou on local dynamics of analytic maps as well as recent work on the dynamics of quadratic and cubic polynomials, the geometry of Julia sets, and the structure of various parameter spaces. Among the other topics are recent results on Yoccoz puzzles and tableaux, limiting dynamics near parabolic points, the spider algorithm, extensions of the theory to rational maps, Newton's method, and entire transcendental functions. Much of the book is accessible to anyone with a background in the basics of dynamical systems and complex analysis.

Author : Jürgen Jost
Publisher : Springer Science & Business Media
Page : 199 pages
File Size : 54,6 Mb
Release : 2005-11-24
Category : Science
ISBN : 9783540288893

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Dynamical Systems by Jürgen Jost Pdf

Breadth of scope is unique Author is a widely-known and successful textbook author Unlike many recent textbooks on chaotic systems that have superficial treatment, this book provides explanations of the deep underlying mathematical ideas No technical proofs, but an introduction to the whole field that is based on the specific analysis of carefully selected examples Includes a section on cellular automata

Author : Mark Lvovič Agranovskij (Mathematiker, Russland),Matania Ben-Artzi,Greg Galloway,Lavi Karp,V. G. Mazʹi︠a︡,Simeon Reich,David Shoiykhet,Gilbert Weinstein,Lawrence Allen Zalcman
Publisher : Unknown
Page : 314 pages
File Size : 49,7 Mb
Release : 2013
Category : Differential equations, Partial
ISBN : 1470409704

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Complex Analysis and Dynamical Systems V by Mark Lvovič Agranovskij (Mathematiker, Russland),Matania Ben-Artzi,Greg Galloway,Lavi Karp,V. G. Mazʹi︠a︡,Simeon Reich,David Shoiykhet,Gilbert Weinstein,Lawrence Allen Zalcman Pdf

Author : Alan F. Beardon
Publisher : Springer Science & Business Media
Page : 308 pages
File Size : 51,8 Mb
Release : 2000-09-27
Category : Mathematics
ISBN : 0387951512

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Iteration of Rational Functions by Alan F. Beardon Pdf

This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before.

Author : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
Page : 314 pages
File Size : 45,9 Mb
Release : 2011
Category : Calculus of variations
ISBN : 9780821851975

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Complex Analysis and Dynamical Systems IV by Mark Lʹvovich Agranovskiĭ Pdf

The papers in this volume cover a wide variety of topics in differential geometry, general relativity, and partial differential equations. In addition, there are several articles dealing with various aspects of Lie groups and mathematics physics. Taken together, the articles provide the reader with a panorama of activity in general relativity and partial differential equations, drawn by a number of leading figures in the field. The companion volume (Contemporary Mathematics, Volume 553) is devoted to function theory and optimization.

Author : Lawrence Zalcman
Publisher : American Mathematical Soc.
Page : 316 pages
File Size : 50,9 Mb
Release : 2016-05-19
Category : Calculus of variations
ISBN : 9781470417031

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Complex Analysis and Dynamical Systems VI by Lawrence Zalcman Pdf

This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19–24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers range over a wide variety of topics in complex analysis, quasiconformal mappings, and complex dynamics. Taken together, the articles provide the reader with a panorama of activity in these areas, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 653) is devoted to partial differential equations, differential geometry, and radon transforms.

Author : Matania Ben-Artzi, Greg Galloway,Lavi Karp,Dmitry Khavinson,Simeon Reich,Gilbert Weinstein,Lawrence Zalcman
Publisher : American Mathematical Soc.
Page : 313 pages
File Size : 44,5 Mb
Release : 2015-12-03
Category : Calculus of variations
ISBN : 9781470416539

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Complex Analysis and Dynamical Systems VI: Part 1: PDE, Differential Geometry, Radon Transform by Matania Ben-Artzi, Greg Galloway,Lavi Karp,Dmitry Khavinson,Simeon Reich,Gilbert Weinstein,Lawrence Zalcman Pdf

This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19-24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers in this volume range over a wide variety of topics in Partial Differential Equations, Differential Geometry, and the Radon Transform. Taken together, the articles collected here provide the reader with a panorama of activity in partial differential equations and general relativity, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 667) is devoted to complex analysis, quasiconformal mappings, and complex dynamics. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).