AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

Free Probability Theory

About this Title

Dan-Virgil Voiculescu, University of California, Berkeley, Berkeley, CA, Editor

Publication: Fields Institute Communications
Publication Year: 1997; Volume 12
ISBNs: 978-0-8218-0675-3 (print); 978-1-4704-2980-5 (online)
DOI: https://doi.org/10.1090/fic/012
MathSciNet review: MR1426832
MSC: Primary 46-06; Secondary 46Lxx

View full volume as PDF

Read more about this volume

Table of Contents

Download chapters as PDF

Front/Back Matter

• View this volume's front and back matter

Chapters

• Philippe Biane – Free Brownian motion, free stochastic calculus, and random matrices
• Michael Douglas – Large $N$ quantum field theory and matrix models
• Ken Dykema – Free products of finite dimensional and other von Neumann algebras with respect to non-tracial states
• Emmanuel Germain – Amalgamated free product $C^*$-algebras and $KK$-theory
• Ian Goulden and D Jackson – Connexion coefficients for the symmetric group, free products in operator algebras, and random matrices
• Uffe Haagerup – On Voiculescu’s $R$- and $S$-transforms for free noncommuting random variables
• Alexandru Nica and Roland Speicher – $R$-diagonal pairs—A common approach to Haar unitaries and circular elements
• Michael Pimsner – A class of $C^*$-algebras generalizing both Cuntz-Krieger algebras and crossed products by ${\mathbb Z}$
• Florin Radulescu – An invariant for subfactors in the von Neumann algebra of a free group
• Dimitri Shlyakhtenko – Limit distributions of matrices with bosonic and fermionic entries
• Dimitri Shlyakhtenko – $R$-transform of certain joint distributions
• Roland Speicher – On universal products
• Roland Speicher and Reza Woroudi – Boolean convolution
• Erling Stormer – States and shifts on infinite free products of $C$*-algebras
• Dan Voiculescu – The analogues of entropy and of Fisher’s information measure in free probability theory. IV: Maximum entropy and freeness
• A Zee – Universal correlation in random matrix theory: A brief introduction for mathematicians