Random analytic functions

January 16 to January 20, 2006

at the

American Institute of Mathematics, San Jose, California

organized by

Amir Dembo, J. Maurice Rojas, Bernard Shiffman, and Steve Zelditch

Original Announcement

This workshop will be devoted to advancing the theory of random functions and surfaces. This theory, ranging from polynomials to analytic functions to holomorphic sections to algebraic varieties, has advanced tremendously over the last decade and grown to encompass quite general analytic objects of interest in contemporary geometry and algebra. Physics provides another vital source of problems and intuitions. Random functions are fundamental in such areas of applied mathematics and physics as in the numerical solutions of intractable problems from optimization, in quantum chaos, in astrophysics and (more recently) in string theory and quantum gravity.

The main topics for the workshop are:

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

Papers arising from the workshop:

Large deviations of empirical zero point measures on Riemann surfaces, I: g = 0
by  O. Zeitouni and S. Zelditch