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Free random variables

This book presents the first comprehensive introduction to free probability theory, a highly noncommutative probability theory with independence based on free products instead of tensor products. Basic examples of this kind of theory are provided by convolution operators on free groups and by the as...

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Detalles Bibliográficos
Autores principales: Voiculescu, Dan, Dykema, Kenneth J, Nica, Alexandru
Lenguaje:eng
Publicado: American Mathematical Society 1992
Materias:
Acceso en línea:http://cds.cern.ch/record/2279781
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author Voiculescu, Dan
Dykema, Kenneth J
Nica, Alexandru
author_facet Voiculescu, Dan
Dykema, Kenneth J
Nica, Alexandru
author_sort Voiculescu, Dan
collection CERN
description This book presents the first comprehensive introduction to free probability theory, a highly noncommutative probability theory with independence based on free products instead of tensor products. Basic examples of this kind of theory are provided by convolution operators on free groups and by the asymptotic behavior of large Gaussian random matrices. The probabilistic approach to free products has led to a recent surge of new results on the von Neumann algebras of free groups. The book is ideally suited as a textbook for an advanced graduate course and could also provide material for a seminar. In addition to researchers and graduate students in mathematics, this book will be of interest to physicists and others who use random matrices.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1992
publisher American Mathematical Society
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spelling cern-22797812021-04-21T19:05:37Zhttp://cds.cern.ch/record/2279781engVoiculescu, DanDykema, Kenneth JNica, AlexandruFree random variablesMathematical Physics and MathematicsThis book presents the first comprehensive introduction to free probability theory, a highly noncommutative probability theory with independence based on free products instead of tensor products. Basic examples of this kind of theory are provided by convolution operators on free groups and by the asymptotic behavior of large Gaussian random matrices. The probabilistic approach to free products has led to a recent surge of new results on the von Neumann algebras of free groups. The book is ideally suited as a textbook for an advanced graduate course and could also provide material for a seminar. In addition to researchers and graduate students in mathematics, this book will be of interest to physicists and others who use random matrices.American Mathematical Societyoai:cds.cern.ch:22797811992
spellingShingle Mathematical Physics and Mathematics
Voiculescu, Dan
Dykema, Kenneth J
Nica, Alexandru
Free random variables
title Free random variables
title_full Free random variables
title_fullStr Free random variables
title_full_unstemmed Free random variables
title_short Free random variables
title_sort free random variables
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2279781
work_keys_str_mv AT voiculescudan freerandomvariables
AT dykemakennethj freerandomvariables
AT nicaalexandru freerandomvariables