Abstract
After having developed the basic theory of freeness, we are now ready to have a more systematic look into the relation between freeness and random matrices. In Chapter 1, we showed the asymptotic freeness between independent Gaussian random matrices. This is only the tip of an iceberg. There are many more classes of random matrices which show asymptotic freeness. In particular, we will present such results for Wigner matrices, Haar unitary random matrices and treat also the relation between such ensembles and deterministic matrices. Furthermore, we will strengthen the considered form of freeness from the averaged version (which we considered in Chapter 1) to an almost sure one.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
