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# 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: http://www.maths.qmul.ac.uk/people/igoldsheid

## 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.

Main
Publications

Teaching:

Topology

PROBABILITY III

CONVERGENCE
AND CONTINUITY