Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory

Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory
Author :
Publisher : American Mathematical Soc.
Total Pages : 105
Release :
ISBN-10 : 9780821806937
ISBN-13 : 0821806939
Rating : 4/5 (939 Downloads)

Book Synopsis Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory by : Roland Speicher

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.


Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory Related Books

Combinatorial Theory of the Free Product with Amalgamation and Operator-Valued Free Probability Theory
Language: en
Pages: 105
Authors: Roland Speicher
Categories: Mathematics
Type: BOOK - Published: 1998 - Publisher: American Mathematical Soc.

GET EBOOK

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
Free Probability and Random Matrices
Language: en
Pages: 343
Authors: James A. Mingo
Categories: Mathematics
Type: BOOK - Published: 2017-06-24 - Publisher: Springer

GET EBOOK

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 intertwine
Topological and Asymptotic Aspects of Group Theory
Language: en
Pages: 248
Authors: R. I. Grigorchuk
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

GET EBOOK

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 topologi
Advances in Complex Analysis and Operator Theory
Language: en
Pages: 398
Authors: Fabrizio Colombo
Categories: Mathematics
Type: BOOK - Published: 2017-09-30 - Publisher: Birkhäuser

GET EBOOK

This book gathers contributions written by Daniel Alpay’s friends and collaborators. Several of the papers were presented at the International Conference on C
Number Theory and Symmetry
Language: en
Pages: 206
Authors: Michel Planat
Categories: Computers
Type: BOOK - Published: 2021-01-20 - Publisher: MDPI

GET EBOOK

According to Carl Friedrich Gauss (1777–1855), mathematics is the queen of the sciences—and number theory is the queen of mathematics. Numbers (integers, al