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Download Group Representations  Ergodic Theory  Operator Algebras  and Mathematical Physics PDF
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Publisher : Springer Science & Business Media
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ISBN 10 : 9781461247227
Pages : 278 pages
Rating : 4.4/5 (612 users)
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Download or read book Group Representations Ergodic Theory Operator Algebras and Mathematical Physics written by Calvin C. Moore and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Sciences Research Institute sponsored a three day conference, May 21-23, 1984 to honor Professor George W. Mackey. The title of the conference, Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics, reflects the interests in science that have characterized Professor wide ranging Mackey's work. The conference provided an opportunity for his students, friends and colleagues to honor him and his contributions. The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey's mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild. This volume is a compendium of the scientific papers presented at the conference plus some additional papers contributed after the conference. The far ranging scope of the various articles is a further indication of the large number of fields that have been affected by Professor Mackey's work. Calvin C. Moore Berkeley, CA Feb, 1986 Table of Contents Preface vi i Ambiguity Functions and Group L. Auslander and Representations R. Tolimieri Kirillov Orbits and Direct Integral Lawrence Corwin 11 Decompositions on Certain Quotient Spaces Some Homotopy and Shape Calculations Edward G. Effors and 69 for C*-Algebras Jerome Kaminker 121 Small Unitary Representations of Roger Howe Classical Groups Dual Vector Spaces Irving Kaplansky 151 Exponential Decay of Correlation Calvin C. Moore 163 Coefficients for Geodesic Flows Lattices in U(n. I) G. D. Mostow Induced Bundles and Nonlinear Irving E. Segal 199 Wave equations Compact Ahelian Aut.

Download Group Representations  Ergodic Theory  and Mathematical Physics PDF
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Publisher : American Mathematical Soc.
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ISBN 10 : 9780821842256
Pages : 446 pages
Rating : 4.8/5 (218 users)
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Download or read book Group Representations Ergodic Theory and Mathematical Physics written by Robert S. Doran and published by American Mathematical Soc.. This book was released on 2008 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: George Mackey was an extraordinary mathematician of great power and vision. His profound contributions to representation theory, harmonic analysis, ergodic theory, and mathematical physics left a rich legacy for researchers that continues today. This book is based on lectures presented at an AMS special session held in January 2007 in New Orleans dedicated to his memory. The papers, written especially for this volume by internationally-known mathematicians and mathematical physicists, range from expository and historical surveys to original high-level research articles. The influence of Mackey's fundamental ideas is apparent throughout. The introductory article contains recollections from former students, friends, colleagues, and family as well as a biography describing his distinguished career as a mathematician at Harvard, where he held the Landon D. Clay Professorship of Mathematics. Topics examined here include recent results on induced representations, virtual groups, the Mackey Machine and crossed products, representations of Baumslag-Solitar groups, the Radon transform and the heat equation, groupoids in the study of wavelets, and quantum theory. The in-depth historical surveys of Mackey's work on representation theory, ergodic theory, and physics, together with recent developments inspired by his fundamental work will be of considerable interest to both graduate students and researchers alike.

Download Group Representations  Ergodic Theory  Operator Algebras  and Mathematical Physics PDF
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ISBN 10 : 1461247233
Pages : 292 pages
Rating : 4.2/5 (472 users)
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Download or read book Group Representations Ergodic Theory Operator Algebras and Mathematical Physics written by Calvin C Moore and published by . This book was released on 1986-12-22 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces PDF
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Publisher : Cambridge University Press
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ISBN 10 : 0521660300
Pages : 200 pages
Rating : 4.6/5 (63 users)
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Download or read book Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces written by M. Bachir Bekka and published by Cambridge University Press. This book was released on 2000-05-11 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.

Download Group Representations  Ergodic Theory  Operator Algebras  and Mathematical Physics PDF
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ISBN 10 : 3540964711
Pages : 278 pages
Rating : 4.9/5 (647 users)
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Download or read book Group Representations Ergodic Theory Operator Algebras and Mathematical Physics written by Calvin C. Moore and published by . This book was released on 1987 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download Representation Theory of Real Reductive Lie Groups PDF
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Publisher : American Mathematical Soc.
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ISBN 10 : 9780821843666
Pages : 246 pages
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Download or read book Representation Theory of Real Reductive Lie Groups written by James Arthur and published by American Mathematical Soc.. This book was released on 2008 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: The representation theory of real reductive groups is still incomplete, in spite of much progress made thus far. The papers in this volume were presented at the AMS-IMS-SIAM Joint Summer Research Conference 'Representation Theory of Real Reductive Lie Groups' held in Snowbird, Utah in June 2006, with the aim of elucidating the problems that remain, as well as explaining what tools have recently become available to solve them. They represent a significant improvement in the exposition of some of the most important (and often least accessible) aspects of the literature. This volume will be of interest to graduate students working in the harmonic analysis and representation theory of Lie groups. It will also appeal to experts working in closely related fields.

Download Group Actions in Ergodic Theory  Geometry  and Topology PDF
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Publisher : University of Chicago Press
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ISBN 10 : 9780226568270
Pages : 608 pages
Rating : 4.2/5 (265 users)
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Download or read book Group Actions in Ergodic Theory Geometry and Topology written by Robert J. Zimmer and published by University of Chicago Press. This book was released on 2019-12-23 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.

Download Smooth Ergodic Theory and Its Applications PDF
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Publisher : American Mathematical Soc.
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ISBN 10 : 9780821826829
Pages : 881 pages
Rating : 4.8/5 (218 users)
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Download or read book Smooth Ergodic Theory and Its Applications written by AMS Summer Research Institute on Smooth Ergodic Theory and Its Applications and published by American Mathematical Soc.. This book was released on 2001 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decade, there have been several major new developments in smooth ergodic theory, which have attracted substantial interest to the field from mathematicians as well as scientists using dynamics in their work. In spite of the impressive literature, it has been extremely difficult for a student - or even an established mathematician who is not an expert in the area - to acquire a working knowledge of smooth ergodic theory and to learn how to use its tools.Accordingly, the AMS Summer Research Institute on Smooth Ergodic Theory and Its Applications (Seattle, WA) had a strong educational component, including ten mini-courses on various aspects of the topic that were presented by leading experts in the field. This volume presents the proceedings of that conference. Smooth ergodic theory studies the statistical properties of differentiable dynamical systems, whose origin traces back to the seminal works of Poincare and later, many great mathematicians who made contributions to the development of the theory.The main topic of this volume, smooth ergodic theory, especially the theory of nonuniformly hyperbolic systems, provides the principle paradigm for the rigorous study of complicated or chaotic behavior in deterministic systems. This paradigm asserts that if a non-linear dynamical system exhibits sufficiently pronounced exponential behavior, then global properties of the system can be deduced from studying the linearized system. One can then obtain detailed information on topological properties (such as the growth of periodic orbits, topological entropy, and dimension of invariant sets including attractors), as well as statistical properties (such as the existence of invariant measures, asymptotic behavior of typical orbits, ergodicity, mixing, decay of correlations, and measure-theoretic entropy).Smooth ergodic theory also provides a foundation for numerous applications throughout mathematics (e.g., Riemannian geometry, number theory, Lie groups, and partial differential equations), as well as other sciences. This volume serves a two-fold purpose: first, it gives a useful gateway to smooth ergodic theory for students and nonspecialists, and second, it provides a state-of-the-art report on important current aspects of the subject. The book is divided into three parts: lecture notes consisting of three long expositions with proofs aimed to serve as a comprehensive and self-contained introduction to a particular area of smooth ergodic theory; thematic sections based on mini-courses or surveys held at the conference; and original contributions presented at the meeting or closely related to the topics that were discussed there.

Download Dynamical Systems  Ergodic Theory and Applications PDF
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Publisher : Springer Science & Business Media
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ISBN 10 : 3540663169
Pages : 460 pages
Rating : 4.6/5 (631 users)
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Download or read book Dynamical Systems Ergodic Theory and Applications written by L.A. Bunimovich and published by Springer Science & Business Media. This book was released on 2000-04-05 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, familiarizes the reader with the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics. The enlarged and revised second edition adds two new contributions on ergodic theory of flows on homogeneous manifolds and on methods of algebraic geometry in the theory of interval exchange transformations.

Download Ergodic Theory  Groups  and Geometry PDF
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Publisher : American Mathematical Soc.
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ISBN 10 : 9780821809808
Pages : 87 pages
Rating : 4.8/5 (218 users)
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Download or read book Ergodic Theory Groups and Geometry written by Robert J. Zimmer and published by American Mathematical Soc.. This book was released on 2008 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to ergodic theory provides an overview of important methods, major developments and open problems in the subject. The lectures in the book include additional comments at the end of each chapter with references to recent developments. These updates can help lead the graduate student to cutting-edge results in the field.

Download Geometry and Physics  Volume 2 PDF
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Publisher : Oxford University Press
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ISBN 10 : 9780192522375
Pages : 400 pages
Rating : 4.1/5 (925 users)
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Download or read book Geometry and Physics Volume 2 written by Jørgen Ellegaard Andersen and published by Oxford University Press. This book was released on 2018-10-18 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics. These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.

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ISBN 10 : 9780198802020
Pages : 352 pages
Rating : 4.1/5 (988 users)
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Download or read book Geometry and Physics Volume 2 written by Andrew Dancer and published by . This book was released on 2018-10-25 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: These texts contain 29 articles that cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics

Download Handbook of Dynamical Systems PDF
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Publisher : Elsevier
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ISBN 10 : 9780080533445
Pages : 1232 pages
Rating : 4.0/5 (85 users)
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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 1232 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.

Download Fourth Summer School in Analysis and Mathematical Physics PDF
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Publisher : American Mathematical Soc.
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ISBN 10 : 9780821840641
Pages : 148 pages
Rating : 4.8/5 (218 users)
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Download or read book Fourth Summer School in Analysis and Mathematical Physics written by Carlos Villegas-Blas and published by American Mathematical Soc.. This book was released on 2008-12-02 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of three expository articles written by outstanding researchers in Mathematical Physics: Rafael Benguria, Peter Hislop, and Elliott Lieb. The articles are based on their lectures at the Fourth Summer School in Analysis and Mathematical Physics, held at the Institute of Mathematics, Universidad Nacional Autonoma de Mexico, Cuernavaca in May 2005. The main goal of the articles is to link the basic knowledge of a graduate student in Mathematics with three current research topics in Mathematical Physics: Isoperimetric inequalities for eigenvalues of the Laplace Operator, Random Schrodinger Operators, and Stability of Matter, respectively. These well written articles will guide and introduce the reader to current research topics and will also provide information on recent progress in some areas of Mathematical Physics.

Download Computational Group Theory and the Theory of Groups PDF
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Publisher : American Mathematical Soc.
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ISBN 10 : 9780821843659
Pages : 286 pages
Rating : 4.8/5 (218 users)
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Download or read book Computational Group Theory and the Theory of Groups written by Luise-Charlotte Kappe and published by American Mathematical Soc.. This book was released on 2008 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The power of general purpose computational algebra systems running on personal computers has increased rapidly in recent years. For mathematicians doing research in group theory, this means a growing set of sophisticated computational tools are now available for their use in developing new theoretical results. This volume consists of contributions by researchers invited to the AMS Special Session on Computational Group Theory held in March 2007. The main focus of the session was on the application of Computational Group Theory (CGT) to a wide range of theoretical aspects of group theory.The articles in this volume provide a variety of examples of how these computer systems helped to solve interesting theoretical problems within the discipline, such as constructions of finite simple groups, classification of $p$-groups via coclass, representation theory and constructions involving free nilpotent groups. The volume also includes an article by R. F. Morse highlighting applications of CGT in group theory and two survey articles. Graduate students and researchers interested in various aspects of group theory will find many examples of Computational Group Theory helping research and will recognize it as yet another tool at their disposal.

Download Ergodic Theory and Harmonic Analysis PDF
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Publisher : Cambridge University Press
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ISBN 10 : 9780521459990
Pages : 437 pages
Rating : 4.5/5 (214 users)
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Download or read book Ergodic Theory and Harmonic Analysis written by London Mathematical Society and published by Cambridge University Press. This book was released on 1995-01-27 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ergodic theory is a field that is stimulating on its own, and also in its interactions with other branches of mathematics and science. In recent years, the interchanges with harmonic analysis have been especially noticeable and productive. This book contains survey papers describing the relationship of ergodic theory with convergence, rigidity theory and the theory of joinings. These papers present the background of each area of interaction, the most outstanding results and promising lines of research. They should form perfect starting points for anyone beginning research in one of these areas. Thirteen related research papers describe the work; several treat questions arising from the Furstenberg multiple recurrence theory, while the remainder deal with convergence and a variety of other topics in dynamics.

Download Poisson Geometry in Mathematics and Physics PDF
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Publisher : American Mathematical Soc.
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ISBN 10 : 9780821844236
Pages : 311 pages
Rating : 4.8/5 (218 users)
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Download or read book Poisson Geometry in Mathematics and Physics written by Giuseppe Dito and published by American Mathematical Soc.. This book was released on 2008 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of articles by speakers at the conference ""Poisson 2006: Poisson Geometry in Mathematics and Physics"", which was held June 5-9, 2006, in Tokyo, Japan. Poisson 2006 was the fifth in a series of international conferences on Poisson geometry that are held once every two years. The aim of these conferences is to bring together mathematicians and mathematical physicists who work in diverse areas but have common interests in Poisson geometry. The program for Poisson 2006 was remarkable for the overlap of topics that included deformation quantization, generalized complex structures, differentiable stacks, normal forms, and group-valued moment maps and reduction. The articles represent current research in Poisson geometry and should be valuable to anyone interested in Poisson geometry, symplectic geometry, and mathematical physics. This volume also contains lectures by the principal speakers of the three-day school held at Keio University that preceded Poisson 2006.