Free Probability and Random Matrices

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.

Author: James A. Mingo, Roland Speicher
Binding Type: Hardcover
Publisher: Springer
Published: 06/26/2017
Series: Fields Institute Monographs #35
Pages: 336
Weight: 1.47lbs
Size: 9.21h x 6.14w x 0.81d
ISBN: 9781493969418
2017 Edition