On the Distribution of Subdominant Eigenvlaues of Random Matrices
by
Michael Neumann
Department of Mathematics, University of Connecticut
Coauthors: G. Goldberg, P. Okunev, H. Schneider

In experiments that we have carried out in connection with the convergence of powers of nxn nonnegative matrices whose entries come from a uniform distribution on the interval [0, 1], we have observed that as n grows, the ratio of the modulus of any subdominant eigenvalue to the spectral radius diminishes. We shall devote the talk to proving results which confirm and explain these experiments

Date received: March 10, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabw-94.