Author : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
Page : 337 pages
File Size : 46,49 MB
Release : 2013-06-03
Category : Mathematics
ISBN : 0821890247
This volume contains the proceedings of the Fifth International Conference on Complex Analysis and Dynamical Systems, held from May 22-27, 2011, in Akko (Acre), Israel. The papers cover a wide variety of topics in complex analysis and partial differential
Author : Mark Agranovsky
Publisher : Birkhäuser
Page : 373 pages
File Size : 12,91 MB
Release : 2018-01-31
Category : Mathematics
ISBN : 3319701541
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 : Robert L. Devaney
Publisher : American Mathematical Soc.
Page : 232 pages
File Size : 40,12 MB
Release : 1994-12-20
Category : Analytic mappings
ISBN : 9780821867549
In the last fifteen years, 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 : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
Page : 278 pages
File Size : 30,9 MB
Release : 2004
Category : Mathematics
ISBN : 0821836862
This book contains contributions from the participants of an International Conference on Complex Analysis and Dynamical Systems. The papers collected here are devoted to various topics in complex analysis and dynamical systems, ranging from properties of holomorphic mappings to attractors in hyperbolic spaces. Overall, these selections provide an overview of activity in analysis at the outset of the twenty-first century. The book is suitable for graduate students and researchers in complex analysis and related problems of dynamics. With this volume, the Israel Mathematical Conference Proceedings are now published as a subseries of the AMS Contemporary Mathematics series.
Author : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
Page : 346 pages
File Size : 23,61 MB
Release : 2011
Category : Mathematics
ISBN : 0821851969
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 : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
Page : 314 pages
File Size : 28,99 MB
Release : 2011
Category : Mathematics
ISBN : 0821851977
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 Allen Zalcman
Publisher : American Mathematical Soc.
Page : 460 pages
File Size : 45,41 MB
Release : 2005
Category : Mathematics
ISBN : 9780821885635
This volume is a collection of papers reflecting the conference held in Nahariya, Israel in honor of Professor Lawrence Zalcman's sixtieth birthday. The papers, many written by leading authorities, range widely over classical complex analysis of one and several variables, differential equations, and integral geometry. Topics covered include, but are not limited to, these areas within the theory of functions of one complex variable: complex dynamics, elliptic functions, Kleinian groups, quasiconformal mappings, Tauberian theorems, univalent functions, and value distribution theory. Altogether, the papers in this volume provide a comprehensive overview of activity in complex analysis at the beginning of the twenty-first century and testify to the continuing vitality of the interplay between classical and modern analysis. It is suitable for graduate students and researchers interested in computer analysis and differential geometry. Information for our distributors: This book is copublished with Bar-Ilan University.
Author : Johan Dubbeldam
Publisher : John Wiley & Sons
Page : 261 pages
File Size : 50,21 MB
Release : 2011-02-21
Category : Science
ISBN : 3527409319
Written by recognized experts, this edited book covers recent theoretical, experimental and applied issues in the growing fi eld of Complex Systems and Nonlinear Dynamics. It is divided into two parts, with the first section application based, incorporating the theory of bifurcation analysis, numerical computations of instabilities in dynamical systems and discussing experimental developments. The second part covers the broad category of statistical mechanics and dynamical systems. Several novel exciting theoretical and mathematical insights and their consequences are conveyed to the reader.
Author : G.M. Khenkin
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 30,73 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642580114
This volume of the Encyclopaedia contains three contributions in the field of complex analysis; on mean periodicity and convolutionequations, Yang-Mills fields and the Radon-Penrose transform, and stringtheory. It is immensely useful to graduate students and researchers in complex analysis, differential geometry, quantum field theory, string theory and general relativity.
Author : Kazuyuki Aihara
Publisher : Springer
Page : 215 pages
File Size : 33,92 MB
Release : 2015-03-20
Category : Technology & Engineering
ISBN : 4431550135
This book is the first to report on theoretical breakthroughs on control of complex dynamical systems developed by collaborative researchers in the two fields of dynamical systems theory and control theory. As well, its basic point of view is of three kinds of complexity: bifurcation phenomena subject to model uncertainty, complex behavior including periodic/quasi-periodic orbits as well as chaotic orbits, and network complexity emerging from dynamical interactions between subsystems. Analysis and Control of Complex Dynamical Systems offers a valuable resource for mathematicians, physicists, and biophysicists, as well as for researchers in nonlinear science and control engineering, allowing them to develop a better fundamental understanding of the analysis and control synthesis of such complex systems.
