Rigidity In Dynamics And Geometry PDF Download
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Author | : Marc Burger |
Publisher | : Springer Science & Business Media |
Total Pages | : 494 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662047438 |
Download Rigidity in Dynamics and Geometry Book in PDF, ePub and Kindle
This volume of proceedings is an offspring of the special semester Ergodic Theory, Geometric Rigidity and Number Theory which was held at the Isaac Newton Institute for Mathematical Sciences in Cambridge, UK, from Jan uary until July, 2000. Beside the activities during the semester, there were workshops held in January, March and July, the first being of introductory nature with five short courses delivered over a week. Although the quality of the workshops was excellent throughout the semester, the idea of these proceedings came about during the March workshop, which is hence more prominently represented, The format of the volume has undergone many changes, but what has remained untouched is the enthusiasm of the contributors since the onset of the project: suffice it to say that even though only two months elapsed between the time we contacted the potential authors and the deadline to submit the papers, the deadline was respected in the vast majority of the cases. The scope of the papers is not completely uniform throughout the volume, although there are some points in common. We asked the authors to write papers keeping in mind the idea that they should be accessible to students. At the same time, we wanted the papers not to be a summary of results that appeared somewhere else.
Author | : Boris Hasselblatt |
Publisher | : Cambridge University Press |
Total Pages | : 324 |
Release | : 2007-09-24 |
Genre | : Mathematics |
ISBN | : 0521875412 |
Download Dynamics, Ergodic Theory and Geometry Book in PDF, ePub and Kindle
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.
Author | : Benson Farb |
Publisher | : University of Chicago Press |
Total Pages | : 659 |
Release | : 2011-04-15 |
Genre | : Mathematics |
ISBN | : 0226237907 |
Download Geometry, Rigidity, and Group Actions Book in PDF, ePub and Kindle
The study of group actions is more than a hundred years old but remains to this day a vibrant and widely studied topic in a variety of mathematic fields. A central development in the last fifty years is the phenomenon of rigidity, whereby one can classify actions of certain groups, such as lattices in semi-simple Lie groups. This provides a way to classify all possible symmetries of important spaces and all spaces admitting given symmetries. Paradigmatic results can be found in the seminal work of George Mostow, Gergory Margulis, and Robert J. Zimmer, among others. The papers in Geometry, Rigidity, and Group Actions explore the role of group actions and rigidity in several areas of mathematics, including ergodic theory, dynamics, geometry, topology, and the algebraic properties of representation varieties. In some cases, the dynamics of the possible group actions are the principal focus of inquiry. In other cases, the dynamics of group actions are a tool for proving theorems about algebra, geometry, or topology. This volume contains surveys of some of the main directions in the field, as well as research articles on topics of current interest.
Author | : Karl Friedrich Siburg |
Publisher | : Springer |
Total Pages | : 135 |
Release | : 2004-04-30 |
Genre | : Mathematics |
ISBN | : 3540409858 |
Download The Principle of Least Action in Geometry and Dynamics Book in PDF, ePub and Kindle
New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.
Author | : Yunping Jiang |
Publisher | : World Scientific |
Total Pages | : 327 |
Release | : 1996-09-20 |
Genre | : Science |
ISBN | : 9814500178 |
Download Renormalization And Geometry In One-dimensional And Complex Dynamics Book in PDF, ePub and Kindle
About one and a half decades ago, Feigenbaum observed that bifurcations, from simple dynamics to complicated ones, in a family of folding mappings like quadratic polynomials follow a universal rule (Coullet and Tresser did some similar observation independently). This observation opened a new way to understanding transition from nonchaotic systems to chaotic or turbulent system in fluid dynamics and many other areas. The renormalization was used to explain this observed universality. This research monograph is intended to bring the reader to the frontier of this active research area which is concerned with renormalization and rigidity in real and complex one-dimensional dynamics. The research work of the author in the past several years will be included in this book. Most recent results and techniques developed by Sullivan and others for an understanding of this universality as well as the most basic and important techniques in the study of real and complex one-dimensional dynamics will also be included here.
Author | : Cornel J. Rigby |
Publisher | : |
Total Pages | : |
Release | : 2005-08 |
Genre | : |
ISBN | : 9780976011002 |
Download Geometry of Rotation Book in PDF, ePub and Kindle
Author | : David Fisher |
Publisher | : University of Chicago Press |
Total Pages | : 573 |
Release | : 2022-02-07 |
Genre | : Mathematics |
ISBN | : 022680402X |
Download Dynamics, Geometry, Number Theory Book in PDF, ePub and Kindle
"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 | : Edward John Routh |
Publisher | : London : Macmillan |
Total Pages | : 570 |
Release | : 1868 |
Genre | : Dynamics, Rigid |
ISBN | : |
Download An Elementary Treatise on the Dynamics of a System of Rigid Bodies Book in PDF, ePub and Kindle
Author | : M.F. Thorpe |
Publisher | : Springer Science & Business Media |
Total Pages | : 435 |
Release | : 1999-05-31 |
Genre | : Computers |
ISBN | : 0306461153 |
Download Rigidity Theory and Applications Book in PDF, ePub and Kindle
Although rigidity has been studied since the time of Lagrange (1788) and Maxwell (1864), it is only in the last twenty-five years that it has begun to find applications in the basic sciences. The modern era starts with Laman (1970), who made the subject rigorous in two dimensions, followed by the development of computer algorithms that can test over a million sites in seconds and find the rigid regions, and the associated pivots, leading to many applications. This workshop was organized to bring together leading researchers studying the underlying theory, and to explore the various areas of science where applications of these ideas are being implemented.
Author | : Curtis T. McMullen |
Publisher | : Princeton University Press |
Total Pages | : 214 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 1400882559 |
Download Complex Dynamics and Renormalization (AM-135), Volume 135 Book in PDF, ePub and Kindle
Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z) = z2 + c. As discovered by Feigenbaum, such a mapping exhibits a repetition of form at infinitely many scales. Drawing on universal estimates in hyperbolic geometry, this work gives an analysis of the limiting forms that can occur and develops a rigidity criterion for the polynomial f. This criterion supports general conjectures about the behavior of rational maps and the structure of the Mandelbrot set. The course of the main argument entails many facets of modern complex dynamics. Included are foundational results in geometric function theory, quasiconformal mappings, and hyperbolic geometry. Most of the tools are discussed in the setting of general polynomials and rational maps.