Free Probability and Random Matrices
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 intertwined with non-crossing partitions, random matrices, applications in wireless communications, representation theory of large groups, quantum gro...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2017, 2017
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| Edition: | 1st ed. 2017 |
| Series: | Fields Institute Monographs
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 1. Asymptotic Freeness of Gaussian Random Matrices
- 2. The Free Central Limit Theorem and Free Cumulants
- 3. Free Harmonic Analysis
- 4. Asymptotic Freeness
- 5. Second Order Freeness
- 6. Free Group Factors and Freeness
- 7. Free Entropy X-the Microstates Approach via Large Deviations
- Free Entropy X*-the Non-Microstates Approach via Free Fisher Information
- 9. Operator-Valued Free Probability Theory and Block Random Matrices
- 10. Polynomials in Free Variables and Operator-Valued Convolution
- 11. Brown Measure
- Solutions to Exercises
- References
- Index of Exercises