Tel Aviv University

Dear all,

This week at the Horowitz seminar on Probability, Ergodic Theory and
Dynamical Systems at Tel Aviv University we are happy to have:

Speaker: Yan V Fyodorov, Queen Mary, University of London
Title: Freezing Transition: from 1/f landscapes to Characteristic
Polynomials of Random Matrices and the Riemann zeta-function

Date: Monday, May 7
Time: 14:30
Place: Schreiber 309

Abstract:
In the talk (based on a joint work with G Hiary and J Keating;
arXiv:1202.4713) I will argue that the freezing transition scenario,
previously conjectured to take place in the statistical mechanics of
1/f-noise random energy models, governs, after reinterpretation, the
value distribution of the maximum of the modulus of the characteristic
polynomials of large random unitary (CUE) matrices. I then conjecture
that the results extend to the large values taken by the Riemann
zeta-function over stretches of the critical line s=1/2+it of constant
length, and present the results of numerical computations of the large
values of \zeta(1/2+it). The main purpose is to draw attention to
possible connections between the statistical mechanics of random
energy landscapes, random matrix theory, and the theory of the Riemann
zeta function.

Best regards,
Ron

Seminar webpage:
<http://www.math.tau.ac.il/~peledron/Horowitz_seminar/Horowitz_seminar.html>

---------------------------------------------------------
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il>
Announcement from: Ron Peled   <peledron@gmail.com>