Combinatorial Theory Of The Free Product With Amalgamation And

Author : Roland Speicher
Publisher : Oxford University Press, USA
ISBN 13 : 9781470402167
Total Pages : 105 pages
Book Rating : 4.65/5 ( download)

DOWNLOAD NOW!

Download or read book Combinatorial Theory of the Free Product with Amalgamation and written by Roland Speicher and published by Oxford University Press, USA. This book was released on 2014-09-11 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Free probability theory, introduced by Voiculescu, has developed very actively and has had an increasing impact on quite different fields in mathematics and physics. Whereas the subject arose out of the field of von Neumann algebras, presented here is a quite different view of Voiculescu's amalgamated free product. This combinatorial description allows re-proving of most of Voiculescu's results and also opens the way for many new results.

Author : Roland Speicher
Publisher : American Mathematical Soc.
ISBN 13 : 0821806939
Total Pages : 105 pages
Book Rating : 4.37/5 ( download)

DOWNLOAD NOW!

Download or read book Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory written by Roland Speicher and published by American Mathematical Soc.. This book was released on 1998 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Free probability theory, introduced by Voiculescu, has developed very actively in the last few years and has had an increasing impact on quite different fields in mathematics and physics. Whereas the subject arose out of the field of von Neumann algebras, presented here is a quite different view of Voiculescu's amalgamated free product. This combinatorial description not only allows re-proving of most of Voiculescu's results in a concise and elegant way, but also opens the way for many new results. Unlike other approaches, this book emphasizes the combinatorial structure of the concept of ``freeness''. This gives an elegant and easily accessible description of freeness and leads to new results in unexpected directions. Specifically, a mathematical framework for otherwise quite ad hoc approximations in physics emerges.

Author : Roger C. Lyndon
Publisher : Springer
ISBN 13 : 3642618960
Total Pages : 354 pages
Book Rating : 4.63/5 ( download)

DOWNLOAD NOW!

Download or read book Combinatorial Group Theory written by Roger C. Lyndon and published by Springer. This book was released on 2015-03-12 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews

Author : B. Chandler
Publisher : Springer Science & Business Media
ISBN 13 : 1461394872
Total Pages : 240 pages
Book Rating : 4.77/5 ( download)

DOWNLOAD NOW!

Download or read book The History of Combinatorial Group Theory written by B. Chandler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study.

Author : Alexandru Nica
Publisher : Cambridge University Press
ISBN 13 : 0521858526
Total Pages : 430 pages
Book Rating : 4.26/5 ( download)

DOWNLOAD NOW!

Download or read book Lectures on the Combinatorics of Free Probability written by Alexandru Nica and published by Cambridge University Press. This book was released on 2006-09-07 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.

Author : Wilhelm Magnus
Publisher : Courier Corporation
ISBN 13 : 0486438309
Total Pages : 466 pages
Book Rating : 4.06/5 ( download)

DOWNLOAD NOW!

Download or read book Combinatorial Group Theory written by Wilhelm Magnus and published by Courier Corporation. This book was released on 2004-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This seminal, much-cited account begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; and more. Second, revised 1976 edition.

Author : Daniel E. Cohen
Publisher : CUP Archive
ISBN 13 : 9780521349369
Total Pages : 324 pages
Book Rating : 4.62/5 ( download)

DOWNLOAD NOW!

Download or read book Combinatorial Group Theory written by Daniel E. Cohen and published by CUP Archive. This book was released on 1989-08-17 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book the author aims to show the value of using topological methods in combinatorial group theory.

Author : Gilbert Baumslag
Publisher : Springer Science & Business Media
ISBN 13 : 9783764329211
Total Pages : 180 pages
Book Rating : 4.11/5 ( download)

DOWNLOAD NOW!

Download or read book Topics in Combinatorial Group Theory written by Gilbert Baumslag and published by Springer Science & Business Media. This book was released on 1993-09-01 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial group theory is a loosely defined subject, with close connections to topology and logic. With surprising frequency, problems in a wide variety of disciplines, including differential equations, automorphic functions and geometry, have been distilled into explicit questions about groups, typically of the following kind: Are the groups in a given class finite (e.g., the Burnside problem)? Finitely generated? Finitely presented? What are the conjugates of a given element in a given group? What are the subgroups of that group? Is there an algorithm for deciding for every pair of groups in a given class whether they are isomorphic or not? The objective of combinatorial group theory is the systematic development of algebraic techniques to settle such questions. In view of the scope of the subject and the extraordinary variety of groups involved, it is not surprising that no really general theory exists. These notes, bridging the very beginning of the theory to new results and developments, are devoted to a number of topics in combinatorial group theory and serve as an introduction to the subject on the graduate level.

Author : James A. Mingo
Publisher : Springer
ISBN 13 : 1493969420
Total Pages : 336 pages
Book Rating : 4.25/5 ( download)

DOWNLOAD NOW!

Download or read book Free Probability and Random Matrices written by James A. Mingo and published by Springer. This book was released on 2017-06-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume opens the world of free probability to a wide variety of readers. From its roots in the theory of operator algebras, free probability has intertwined with non-crossing partitions, random matrices, applications in wireless communications, representation theory of large groups, quantum groups, the invariant subspace problem, large deviations, subfactors, and beyond. This book puts a special emphasis on the relation of free probability to random matrices, but also touches upon the operator algebraic, combinatorial, and analytic aspects of the theory. The book serves as a combination textbook/research monograph, with self-contained chapters, exercises scattered throughout the text, and coverage of important ongoing progress of the theory. It will appeal to graduate students and all mathematicians interested in random matrices and free probability from the point of view of operator algebras, combinatorics, analytic functions, or applications in engineering and statistical physics.

Author : Lunchuan Zhang
Publisher : Springer Nature
ISBN 13 : 9819986680
Total Pages : 222 pages
Book Rating : 4.82/5 ( download)

DOWNLOAD NOW!

Download or read book Hilbert C*- Modules and Quantum Markov Semigroups written by Lunchuan Zhang and published by Springer Nature. This book was released on with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: