Ilya Goldsheid

My mailing address and phone numbers

Prof. Ilya Goldsheid
School of Mathematical Sciences (Room 254)
Queen Mary, University of London
Mile End Road, London E1 4NS, UK
email: I.Goldsheid@qmul.ac.uk
Telephone: +44 020 7882 5473 (direct)
Fax: +44 020 8981 9587 (dept.)

OFFICE HOURS: no office hours in April; by appointment in May-June

Research

My research is mainly in probability theory and mathematical physics. More specifically but still in broad terms, it could be described as the study of quantum and classical dynamics in random media. Finally in much more precise terms, I am interested in the celebrated localization problem for the Anderson model, i.e. quantum particles in random media, and in the study of random walks in random environments, as models for classical particles in random media. My other interests include asymptotic behaviour of products of random matrices, study of Lyapunov exponents of products random transformations, spectral properties of non-self-adjoint random operators. Some of the latter topics are motivated by the study of the localization problem and random walks; at the same time all of them are of great importance in their own right.

Teaching:

CONVERGENCE AND CONTINUITY