Asymptotic Analysis Seminar: How large is the norm of a random matrix?

Tuesday, January 20, 2015 - 11:00am - 12:00pm
Lind 305
Ramon van Handel (Princeton University)
Even a problem as simple as estimating the expected spectral norm of a Gaussian random matrix remains surprisingly mysterious. In this informal talk, I will discuss recent results on the norm of random matrices with independent entries that are nearly sharp and that drastically improve on previously known results. More importantly, I will emphasize a number of interesting open problems that arise from this work, whose resolution would appear to require some novel analytic and combinatorial ideas.