Petritis D.
Equilibrium statistical mechanics of frustrated spin glasses: a survey
of mathematical results
(351K, postscript)

ABSTRACT.  After a rapid introduction to the physical motivations and a succinct
presentation of heuristic results, this survey summarises the main
mathematical results known on the Edwards-Anderson and 
the Sherrington-Kirkpatrick models of spin glasses. Although
not complete proofs but rather sketches of the relevant
steps and important ideas are given, only results for which
complete proofs are known --- and for which the author has been
able to
reproduce all the intermediate logical steps ---
are presented in the sections entitled `mathematical results'. This paper is intended to
both physicists, interested to know which articles among the multitude
of papers published on the subject go beyond the heuristic arguments 
to obtain rigorous irrefutable results, but also to the mathematicians,
interested in finding out how rich is the physical intuitive
way of thinking and in being inspired by the heuristic results
in view of a mathematical rigorisation. An extended, but not
exhaustive, bibliography is included.