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Author: Dzmitry Badziahin
Publisher: Cambridge University Press
ISBN: 1107552370
Category : Mathematics
Languages : en
Pages : 341
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Book Description
Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.
Author: Dzmitry Badziahin
Publisher: Cambridge University Press
ISBN: 1107552370
Category : Mathematics
Languages : en
Pages : 341
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Book Description
Presents current research in various topics, including homogeneous dynamics, Diophantine approximation and combinatorics.
Author: David Fisher
Publisher: University of Chicago Press
ISBN: 022680402X
Category : Mathematics
Languages : en
Pages : 573
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Book Description
"Mathematicians David Fisher, Dmitry Kleinbock, and Gregory Soifer highlight in this edited collection the foundations and evolution of research by mathematician Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics. Margulis' ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. The broad goal of this volume is to introduce these areas, their development, their use in current research, and the connections between them. The foremost experts on the topic have written each of the chapters in this volume with a view to making them accessible by graduate students and by experts in other parts of mathematics"--
Author: S. Morosawa
Publisher: Cambridge University Press
ISBN: 9780521662581
Category : Mathematics
Languages : en
Pages : 354
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Book Description
This book, first published in 2000, is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration of various analytic maps in complex number spaces. This has been the focus of much attention in recent years, with, for example, the discovery of the Mandelbrot set, and work on chaotic behaviour of quadratic maps. The treatment is mathematically unified, emphasizing the substantial role played by classical complex analysis in understanding holomorphic dynamics as well as giving an up-to-date coverage of the modern theory. The authors cover entire functions, Kleinian groups and polynomial automorphisms of several complex variables such as complex Henon maps, as well as the case of rational functions. The book will be welcomed by graduate students and professionals in pure mathematics and science who seek a reasonably self-contained introduction to this exciting area.
Author: Vladimir Anashin
Publisher: Walter de Gruyter
ISBN: 3110203014
Category : Mathematics
Languages : en
Pages : 558
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Book Description
This monograph presents recent developments of the theory of algebraic dynamical systems and their applications to computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations. The most important mathematical results presented in this book are in the fields of ergodicity, p-adic numbers, and noncommutative groups. For students and researchers working on the theory of dynamical systems, algebra, number theory, measure theory, computer sciences, cryptography, and image analysis.
Author: Douglas Lind
Publisher: Cambridge University Press
ISBN: 1108901964
Category : Mathematics
Languages : en
Pages : 572
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Book Description
Symbolic dynamics is a mature yet rapidly developing area of dynamical systems. It has established strong connections with many areas, including linear algebra, graph theory, probability, group theory, and the theory of computation, as well as data storage, statistical mechanics, and $C^*$-algebras. This Second Edition maintains the introductory character of the original 1995 edition as a general textbook on symbolic dynamics and its applications to coding. It is written at an elementary level and aimed at students, well-established researchers, and experts in mathematics, electrical engineering, and computer science. Topics are carefully developed and motivated with many illustrative examples. There are more than 500 exercises to test the reader's understanding. In addition to a chapter in the First Edition on advanced topics and a comprehensive bibliography, the Second Edition includes a detailed Addendum, with companion bibliography, describing major developments and new research directions since publication of the First Edition.
Author: Pieter Moree
Publisher: American Mathematical Soc.
ISBN: 147045100X
Category : Education
Languages : en
Pages : 360
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Book Description
This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany. The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics. The volume is dedicated to the memory of Sergiy Kolyada and also contains some personal accounts of his life and mathematics.
Author: Marc Burger
Publisher: Springer Science & Business Media
ISBN: 9783540432432
Category : Mathematics
Languages : en
Pages : 520
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Book Description
This volume is an offspring of the special semester "Ergodic Theory, Geometric Rigidity and Number Theory" held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from January until July, 2000. Some of the major recent developments in rigidity theory, geometric group theory, flows on homogeneous spaces and Teichmüller spaces, quasi-conformal geometry, negatively curved groups and spaces, Diophantine approximation, and bounded cohomology are presented here. The authors have given special consideration to making the papers accessible to graduate students, with most of the contributions starting at an introductory level and building up to presenting topics at the forefront in this active field of research. The volume contains surveys and original unpublished results as well, and is an invaluable source also for the experienced researcher.
Author: A. P. Roberts
Publisher: Cambridge University Press
ISBN: 9780521520874
Category : Science
Languages : en
Pages : 390
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Book Description
This book uniquely covers both Statics and Dynamics together with a section on background mathematics, providing the student with everything needed to complete typical first year undergraduate courses. Students often find it difficult to visualize problems and grasp the mathematics, but Roberts' friendly approach makes life easier for both student and tutor, tackling concepts from first principles with many examples, exercises and helpful diagrams. The revision section on introductory mathematics is a huge bonus, allowing students to catch up on the pre-requisite mathematics needed to work through both courses.
Author: Dierk Schleicher
Publisher: CRC Press
ISBN: 1439865426
Category : Mathematics
Languages : en
Pages : 663
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Book Description
Complex Dynamics: Families and Friends features contributions by many of the leading mathematicians in the field, such as Mikhail Lyubich, John Milnor, Mitsuhiro Shishikura, and William Thurston. Some of the chapters, including an introduction by Thurston to the general subject of complex dynamics, are classic manuscripts that were never published
Author: Joseph H. Silverman
Publisher: American Mathematical Soc.
ISBN: 0821885030
Category : Mathematics
Languages : en
Pages : 151
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Book Description
