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Ten Lectures on Random Media (Paperback, 2002 ed.)
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Ten Lectures on Random Media (Paperback, 2002 ed.)
Series: Oberwolfach Seminars, 32
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The following notes grew out oflectures held during the DMV-Seminar
on Random Media in November 1999 at the Mathematics Research
Institute of Oberwolfach, and in February-March 2000 at the Ecole
Normale Superieure in Paris. In both places the atmosphere was very
friendly and stimulating. The positive response of the audience was
encouragement enough to write up these notes. I hope they will
carryover the enjoyment of the live lectures. I whole heartedly
wish to thank Profs. Matthias Kreck and Jean-Franc;ois Le Gall who
were respon sible for these two very enjoyable visits, Laurent
Miclo for his comments on an earlier version of these notes, and
last but not least Erwin Bolthausen who was my accomplice during
the DMV-Seminar. A Brief Introduction The main theme of this series
of lectures are "Random motions in random me dia." The subject
gathers a variety of probabilistic models often originated from
physical sciences such as solid state physics, physical chemistry,
oceanography, biophysics . . ., in which typically some diffusion
mechanism takes place in an inho mogeneous medium. Randomness
appears at two levels. It comes in the description of the motion of
the particle diffusing in the medium, this is a rather traditional
point of view for probability theory; but it also comes in the very
description of the medium in which the diffusion takes place."
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