Combinatorial Theory Of The Free Product With Amalgamation And PDF Download
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| Author | : Roland Speicher |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 105 |
| Release | : 2014-09-11 |
| Genre | : Combinatorial analysis |
| ISBN | : 9781470402167 |
Download Combinatorial Theory of the Free Product with Amalgamation and Book in PDF, ePub and Kindle
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. |
| Total Pages | : 105 |
| Release | : 1998 |
| Genre | : Mathematics |
| ISBN | : 0821806939 |
Download Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory Book in PDF, ePub and Kindle
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 |
| Total Pages | : 354 |
| Release | : 2015-03-12 |
| Genre | : Mathematics |
| ISBN | : 3642618960 |
Download Combinatorial Group Theory Book in PDF, ePub and Kindle
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 | : Alexandru Nica |
| Publisher | : Cambridge University Press |
| Total Pages | : 430 |
| Release | : 2006-09-07 |
| Genre | : Mathematics |
| ISBN | : 0521858526 |
Download Lectures on the Combinatorics of Free Probability Book in PDF, ePub and Kindle
This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.
| Author | : James A. Mingo |
| Publisher | : Springer |
| Total Pages | : 336 |
| Release | : 2017-06-24 |
| Genre | : Mathematics |
| ISBN | : 1493969420 |
Download Free Probability and Random Matrices Book in PDF, ePub and Kindle
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 | : 野水克己 |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 148 |
| Release | : 2001 |
| Genre | : Mathematical analysis |
| ISBN | : 9780821827802 |
Download Selected Papers on Classical Analysis Book in PDF, ePub and Kindle
This volume contains papers that originally appeared in Japanese in the journal Sugaku. Ordinarily the papers would appear in the AMS translation of that journal, but to expedite publication, the Society has chosen to publish them as a volume of selected papers. The papers here are in the general area of mathematical analysis as it pertains to free probability theory.
| Author | : Wilhelm Magnus |
| Publisher | : Courier Corporation |
| Total Pages | : 466 |
| Release | : 2004-01-01 |
| Genre | : Mathematics |
| ISBN | : 0486438309 |
Download Combinatorial Group Theory Book in PDF, ePub and Kindle
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 Alpay |
| Publisher | : Springer Nature |
| Total Pages | : 578 |
| Release | : 2020-09-19 |
| Genre | : Mathematics |
| ISBN | : 3030448193 |
Download Complex Function Theory, Operator Theory, Schur Analysis and Systems Theory Book in PDF, ePub and Kindle
This book is dedicated to Victor Emmanuilovich Katsnelson on the occasion of his 75th birthday and celebrates his broad mathematical interests and contributions.Victor Emmanuilovich’s mathematical career has been based mainly at the Kharkov University and the Weizmann Institute. However, it also included a one-year guest professorship at Leipzig University in 1991, which led to him establishing close research contacts with the Schur analysis group in Leipzig, a collaboration that still continues today. Reflecting these three periods in Victor Emmanuilovich's career, present and former colleagues have contributed to this book with research inspired by him and presentations on their joint work. Contributions include papers in function theory (Favorov-Golinskii, Friedland-Goldman-Yomdin, Kheifets-Yuditskii) , Schur analysis, moment problems and related topics (Boiko-Dubovoy, Dyukarev, Fritzsche-Kirstein-Mädler), extension of linear operators and linear relations (Dijksma-Langer, Hassi-de Snoo, Hassi -Wietsma) and non-commutative analysis (Ball-Bolotnikov, Cho-Jorgensen).
| Author | : Jens Gerlach Christensen |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 303 |
| Release | : 2018-08-27 |
| Genre | : Festschriften |
| ISBN | : 1470440709 |
Download Representation Theory and Harmonic Analysis on Symmetric Spaces Book in PDF, ePub and Kindle
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis, in honor of Gestur Ólafsson's 65th birthday, held on January 4, 2017, in Atlanta, Georgia. The articles in this volume provide fresh perspectives on many different directions within harmonic analysis, highlighting the connections between harmonic analysis and the areas of integral geometry, complex analysis, operator algebras, Lie algebras, special functions, and differential operators. The breadth of contributions highlights the diversity of current research in harmonic analysis and shows that it continues to be a vibrant and fruitful field of inquiry.
| Author | : R. I. Grigorchuk |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 248 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 0821837567 |
Download Topological and Asymptotic Aspects of Group Theory Book in PDF, ePub and Kindle
The articles in this volume are based on the talks given at two special sessions at the AMS Sectional meetings held in 2004. The articles cover various topological and asymptotic aspects of group theory, such as hyperbolic and relatively hyperbolic groups, asymptotic cones, Thompson's group, Nielsen fixed point theory, homology, groups acting on trees, groups generated by finite automata, iterated monodromy groups, random walks on finitely generated groups, heat kernels, and currents on free groups.
