|
Invited Speaker Andrew Odlyzko Researcher AT&T Bell Laboratories Murray Hill, NJ |
Email: |
amo@research.att.com |
Homepage: |
ftp://netlib.att.com/netlib/att/math/odlyzko/index.html.Z |
Talk: | N/A |
Contributions: |
Zeros of polynomials with 0,1 coefficients
On the Distribution of Spacings between Zeros of the Zeta Function |
Paper: | A nonlinear equation and its application to nearest neighbor spacings for zeros of the zeta function and eigenvalues of random matrices |
Abstract: |
A certain nonlinear equation is used to compute the probability
density function for the distance from an eigenvalue of a matrix from
the GUE ensemble to the eigenvalue nearest to it. (The classical results
concern distribution of the distances between consecutive eigenvalues.)
Comparisons are made with the corresponding distribution for zeros of
the Riemann zeta function, which are conjectured to behave like
eigenvalues of large random GUE matrices.
|