Abstract
We prove a quantitative deterministic equivalence theorem for the logarithmic potentials of deterministic complex N × N N\times N matrices subject to small random perturbations. We show that with probability close to 1 1 this log-potential is, up to a small error, determined by the singular values of the unperturbed matrix which are larger than some small N N -dependent cut-off parameter.
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.
