The material covered in this book involves important and non-
trivial results in contemporary probability theory motivated by
polymer models, as well as other topics of importance in physics
and chemistry. The development carefully provides the basic defi-
nitions of mutual intersection and self-intersection local times for
Brownian motions and the accompanying large deviation results.
The book then proceeds to the analogues of these concepts and
results for random walks on lattices of
R d
. This includes suitable
integrability and large deviation results for these models and some
applications. Moreover, the notes and comments at the end of the
chapters provide interesting remarks and references to various related results, as well
as a good number of exercises. The author provides a beautiful development of these
subtle topics at a level accessible to advanced graduate students.
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