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Title Lectures on the Combinatorics of Free Probability / Alexandru Nica, Roland Speicher.

Publication Info. Cambridge : Cambridge University Press, 2006.
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Online eBook via EBSCO. Access restricted to current Rider University students, faculty, and staff.
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Item Status

Description 1 online resource (436 pages).
text file
Series London Mathematical Society Lecture Note Series ; no. 335
London Mathematical Society lecture note series ; no. 335.
Note Title from publishers bibliographic system (viewed 22 Dec 2011).
Summary This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.
Bibliography Includes bibliographical references and index.
Contents Part I. Basic Concepts: 1. Non-commutative probability spaces and distributions; 2. A case study of non-normal distribution; 3. C*-probability spaces; 4. Non-commutative joint distributions; 5. Definition and basic properties of free independence; 6. Free product of *-probability spaces; 7. Free product of C*-probability spaces; Part II. Cumulants: 8. Motivation: free central limit theorem; 9. Basic combinatorics I: non-crossing partitions; 10. Basic Combinatorics II: M s inversion; 11. Free cumulants: definition and basic properties; 12. Sums of free random variables; 13. More about limit theorems and infinitely divisible distributions; 14. Products of free random variables; 15. R-diagonal elements; Part III. Transforms and Models: 16. The R-transform; 17. The operation of boxed convolution; 18. More on the 1-dimensional boxed convolution; 19. The free commutator; 20. R-cyclic matrices; 21. The full Fock space model for the R-transform; 22. Gaussian Random Matrices; 23. Unitary Random Matrices; Notes and Comments; Bibliography; Index.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Combinatorial analysis.
Combinatorial analysis.
Free probability theory.
Free probability theory.
Genre/Form Electronic books.
Added Author Nica, Alexandru.
Speicher, Roland.
Other Form: Print version: 9780521858526
ISBN 9780511735127 (ebook)
051173512X (ebook)
9780521858526 (paperback)
0521858526 (paperback)
9781107368088
1107368081
9781107363168 (electronic book)
1107363160 (electronic book)

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