Abstract
The Chapter extends the “One quarter Law” \( {(2\pi )^{ - 1}}\sqrt {(4 - x)} \;{x^{ - 1/2}},\;{\rm{0}}\;{\rm{ < }}\;x {\rm{ < }}\;{\rm{4}} \) to Gram random matrices with independent random blocks obeying a Lindeberg-type condition and allowing arbitrary dependence of entries within each block. It is proved that Stieltjes transform of the individual limiting spectral function satisfies a matrix canonical equation which generalizes the Bronk-Marchenko-Pastur density. We make the same assumptions concerning random matrices: we only change all entries of random matrices by some blocks.
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.
