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Lectures on the Combinatorics of Free Probability /
This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2006.
|
| Colección: | London Mathematical Society lecture note series ;
no. 335. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Lectures on the Combinatorics of Free Probability / |c Alexandru Nica, Roland Speicher. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2006. | ||
| 300 | |a 1 online resource (436 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a London Mathematical Society Lecture Note Series ; |v no. 335 | |
| 500 | |a Title from publishers bibliographic system (viewed 22 Dec 2011). | ||
| 520 | |a This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Combinatorial analysis. | |
| 650 | 0 | |a Free probability theory. | |
| 650 | 6 | |a Analyse combinatoire. | |
| 650 | 6 | |a Théorie des probabilités libres. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Linear. |2 bisacsh | |
| 650 | 7 | |a Combinatorial analysis. |2 fast |0 (OCoLC)fst00868961 | |
| 650 | 7 | |a Free probability theory. |2 fast |0 (OCoLC)fst00933913 | |
| 650 | 7 | |a Kombinatorische Wahrscheinlichkeitstheorie |2 gnd | |
| 650 | 7 | |a Nichtkommutative Wahrscheinlichkeit |2 gnd | |
| 650 | 1 | 7 | |a Waarschijnlijkheidstheorie. |2 gtt |
| 650 | 1 | 7 | |a Random walks (statistiek) |2 gtt |
| 650 | 1 | 7 | |a Combinatieleer. |2 gtt |
| 700 | 1 | |a Nica, Alexandru. | |
| 700 | 1 | |a Speicher, Roland. | |
| 776 | 0 | 8 | |i Print version: |z 9780521858526 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v no. 335. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552359 |z Texto completo |
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