Date and time: 25 October 2000, 16:30

Venue: Room M128, Department of Mathematics, Brunel University (Uxbridge)

Speaker: Dr. P. Leboeuf (Paris-Sud)

Dr. Leboeuf will speak on "Random matrices, random polynomials and Coulomb systems"

Abstract: The Wigner-Dyson ensembles of random matrices, which originated in the description of highly excited states of the atomic nucleus, provide in fact an accurate statistical description of a much broader class of physical systems, including chaotic and disordered systems. After a general introduction to these ensembles and their electrostatic interpretation as a one-dimensional Coulomb gas, we concentrate on a related model valid for the description of chaotic quantum stationary states. This is the study of the distribution of the roots of polynomials whose coefficients are random distributed. The solutions of this model, that can be interpreted as a two-dimensional interacting gas of particles, are discussed.

Patricio Leboeuf
Laboratoire de Physique Theorique et Modeles Statistiques
Bat. 100
Universite de Paris-Sud
91405 Orsay Cedex
tel: (33) 01 69 15 73 34
fax: (33) 01 69 15 65 25