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Nielsen Theory And Dynamical Systems
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Book Synopsis Nielsen Theory and Dynamical Systems by : Christopher Keil McCord
Download or read book Nielsen Theory and Dynamical Systems written by Christopher Keil McCord and published by American Mathematical Soc.. This book was released on 1993 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Nielsen Theory and Dynamical Systems, held in June 1992 at Mount Holyoke College. Focusing on the interface between Nielsen fixed point theory and dynamical systems, this book provides an almost complete survey of the state of the art of Nielsen theory. Most of the articles are expository and provide references to more technical works, making them accessible to both graduate students and researchers in algebraic topology, fixed point theory, and dynamical systems.
Book Synopsis Nielsen Theory and Dynamical Systems by : Christopher K. McCord
Download or read book Nielsen Theory and Dynamical Systems written by Christopher K. McCord and published by . This book was released on 1993 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nielsen Theory and Dynamical Systems by : Christopher Keil McCord
Download or read book Nielsen Theory and Dynamical Systems written by Christopher Keil McCord and published by . This book was released on 1992 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamical Zeta Functions, Nielsen Theory, and Reidemeister Torsion by : Alexander Fel'shtyn
Download or read book Dynamical Zeta Functions, Nielsen Theory, and Reidemeister Torsion written by Alexander Fel'shtyn and published by . This book was released on 2014-09-11 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the paper we study dynamical zeta functions connected with Nielsen fixed point theory. The study of dynamical zeta functions is part of the theory of dynamical systems, but it is also intimately related to algebraic geometry, number theory, topology and statistical mechanics. The paper consists of four parts. Part I presents a brief account of the Nielsen fixed point theory. Part II deals with dynamical zeta functions connected with Nielsen fixed point theory. Part III is concerned with analogue of Dold congruences for the Reidemeister and Nielsen numbers. In Part IV we explain how dynamical zeta functions give rise to the Reidemeister torsion, a very important topological invariant which has useful applications in knots theory, quantum field theory and dynamical systems.
Book Synopsis Introduction to the Modern Theory of Dynamical Systems by : Anatole Katok
Download or read book Introduction to the Modern Theory of Dynamical Systems written by Anatole Katok and published by Cambridge University Press. This book was released on 1995 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provided the first self-contained comprehensive exposition of the theory of dynamical systems as a core mathematical discipline closely intertwined with most of the main areas of mathematics. The authors introduce and rigorously develop the theory while providing researchers interested in applications with fundamental tools and paradigms. The book begins with a discussion of several elementary but fundamental examples. These are used to formulate a program for the general study of asymptotic properties and to introduce the principal theoretical concepts and methods. The main theme of the second part of the book is the interplay between local analysis near individual orbits and the global complexity of the orbit structure. The third and fourth parts develop the theories of low-dimensional dynamical systems and hyperbolic dynamical systems in depth. Over 400 systematic exercises are included in the text. The book is aimed at students and researchers in mathematics at all levels from advanced undergraduate up.
Book Synopsis Handbook of Dynamical Systems by : B. Hasselblatt
Download or read book Handbook of Dynamical Systems written by B. Hasselblatt and published by Elsevier. This book was released on 2002-08-20 with total page 1231 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volumes 1A and 1B.These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys.The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics.Volume 1B will appear 2005.
Book Synopsis Handbook of Topological Fixed Point Theory by : Robert F. Brown
Download or read book Handbook of Topological Fixed Point Theory written by Robert F. Brown and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 966 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first in the world literature presenting all new trends in topological fixed point theory. Until now all books connected to the topological fixed point theory were devoted only to some parts of this theory. This book will be especially useful for post-graduate students and researchers interested in the fixed point theory, particularly in topological methods in nonlinear analysis, differential equations and dynamical systems. The content is also likely to stimulate the interest of mathematical economists, population dynamics experts as well as theoretical physicists exploring the topological dynamics.
Book Synopsis Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion by : Alexander L. Fel'shtyn
Download or read book Dynamical Zeta Functions, Nielsen Theory and Reidemeister Torsion written by Alexander L. Fel'shtyn and published by . This book was released on 1992 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Braid and Knot Theory in Dimension Four by : Seiichi Kamada
Download or read book Braid and Knot Theory in Dimension Four written by Seiichi Kamada and published by American Mathematical Soc.. This book was released on 2002 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Braid theory and knot theory are related via two famous results due to Alexander and Markov. Alexander's theorem states that any knot or link can be put into braid form. Markov's theorem gives necessary and sufficient conditions to conclude that two braids represent the same knot or link. Thus, one can use braid theory to study knot theory and vice versa. In this book, the author generalizes braid theory to dimension four. He develops the theory of surface braids and applies it tostudy surface links. In particular, the generalized Alexander and Markov theorems in dimension four are given. This book is the first to contain a complete proof of the generalized Markov theorem. Surface links are studied via the motion picture method, and some important techniques of this method arestudied. For surface braids, various methods to describe them are introduced and developed: the motion picture method, the chart description, the braid monodromy, and the braid system. These tools are fundamental to understanding and computing invariants of surface braids and surface links. Included is a table of knotted surfaces with a computation of Alexander polynomials. Braid techniques are extended to represent link homotopy classes. The book is geared toward a wide audience, from graduatestudents to specialists. It would make a suitable text for a graduate course and a valuable resource for researchers.
Book Synopsis Geometry and Topology in Dynamics by : Marcy Barge
Download or read book Geometry and Topology in Dynamics written by Marcy Barge and published by American Mathematical Soc.. This book was released on 1999 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of the written presentations of lectures given at two special sessions: the AMS Special Session on Topology in Dynamics (Winston-Salem, NC) and the AMS-AWM Special Session on Geometry in Dynamics (San Antonio, TX). Each article concerns aspects of the topology or geometry of dynamical systems. Topics covered include the following: foliations and laminations, iterated function systems, the three-body problem, isotopy stability, homoclinic tangles, fractal dimension, Morse homology, knotted orbits, inverse limits, contact structures, Grassmanians, blowups, and continua. New results are presented reflecting current trends in topological aspects of dynamical systems. The book offers a wide variety of topics of special interest to those working this area bridging topology and dynamical systems.
Book Synopsis High-Dimensional Chaotic and Attractor Systems by : Vladimir G. Ivancevic
Download or read book High-Dimensional Chaotic and Attractor Systems written by Vladimir G. Ivancevic and published by Springer Science & Business Media. This book was released on 2007-02-06 with total page 711 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate–level textbook is devoted to understanding, prediction and control of high–dimensional chaotic and attractor systems of real life. The objective is to provide the serious reader with a serious scientific tool that will enable the actual performance of competitive research in high–dimensional chaotic and attractor dynamics. From introductory material on low-dimensional attractors and chaos, the text explores concepts including Poincaré’s 3-body problem, high-tech Josephson junctions, and more.
Book Synopsis The Reidemeister, Nielsen Zeta Functions and the Reidemeister Torsion in Dynamical Systems Theory by : A. L. Fel'shtyn
Download or read book The Reidemeister, Nielsen Zeta Functions and the Reidemeister Torsion in Dynamical Systems Theory written by A. L. Fel'shtyn and published by . This book was released on 1991 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topology and Representation Theory by : Eric M. Friedlander
Download or read book Topology and Representation Theory written by Eric M. Friedlander and published by American Mathematical Soc.. This book was released on 1994 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: During 1991-1992, Northwestern University conducted a special emphasis year on the topic, "The connections between topology and representation theory." Activities over the year culminated in a conference in May 1992 which attracted over 120 participants. Most of the plenary lectures at the conference were expository and designed to introduce current trends to graduate students and nonspecialists familiar with algebraic topology. This volume contains refereed papers presented or solicited at the conference; one paper is based on a seminar given during the emphasis year.
Download or read book Set Theory written by Tomek Bartoszyński and published by American Mathematical Soc.. This book was released on 1996 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of papers presented at the first three meetings of the Boise Extravaganza in Set Theory (BEST) at Boise State University, Idaho, in 1992, 1993, and 1994. Articles in this volume present recent results in several areas of set theory.
Book Synopsis The Cech Centennial: A Conference on Homotopy Theory by : Mila Cenkl
Download or read book The Cech Centennial: A Conference on Homotopy Theory written by Mila Cenkl and published by American Mathematical Soc.. This book was released on 1995 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: The June 1993 conference was organized to commemorate the 100th anniversary of the birth of Czech mathematician Edward Cech. The main topics of the conference were the most recent results in the stable and unstable homotopy theory. Among the topics in 22 refereed papers: on finiteness of subgroups of self-homotopy equivalences; the Chen groups of the pure braid group; Morava's change of rings theorem; the Boardman homomorphism; and a comparison criterion for certain loop spaces. No index. Annotation copyright by Book News, Inc., Portland, OR
Book Synopsis Matroid Theory by : Joseph Edmond Bonin
Download or read book Matroid Theory written by Joseph Edmond Bonin and published by American Mathematical Soc.. This book was released on 1996 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 1995 AMS-IMS-SIAM Joint Summer Research Conference on Matroid Theory held at the University of Washington, Seattle. The book features three comprehensive surveys that bring the reader to the forefront of research in matroid theory. Joseph Kung's encyclopedic treatment of the critical problem traces the development of this problem from its origins through its numerous links with other branches of mathematics to the current status of its many aspects. James Oxley's survey of the role of connectivity and structure theorems in matroid theory stresses the influence of the Wheels and Whirls Theorem of Tutte and the Splitter Theorem of Seymour. Walter Whiteley's article unifies applications of matroid theory to constrained geometrical systems, including the rigidity of bar-and-joint frameworks, parallel drawings, and splines. These widely accessible articles contain many new results and directions for further research and applications. The surveys are complemented by selected short research papers. The volume concludes with a chapter of open problems. Features: Self-contained, accessible surveys of three active research areas in matroid theory. Many new results. Pointers to new research topics. A chapter of open problems. Mathematical applications. Applications and connections to other disciplines, such as computer-aided design and electrical and structural engineering.
Book Synopsis The Penrose Transform and Analytic Cohomology in Representation Theory by : Michael G. Eastwood
Download or read book The Penrose Transform and Analytic Cohomology in Representation Theory written by Michael G. Eastwood and published by American Mathematical Soc.. This book was released on 1993 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains refereed papers presented at the AMS-IMS-SIAM Summer Research Conference on the Penrose Transform and Analytic Cohomology in Representation Theory held in the summer of 1992 at Mount Holyoke College. The conference brought together some of the top experts in representation theory and differential geometry. One of the issues explored at the conference was the fact that various integral transforms from representation theory, complex integral geometry, and mathematical physics appear to be instances of the same general construction, which is sometimes called the ``Penrose transform''. There is considerable scope for further research in this area, and this book would serve as an excellent introduction.
