 94363 Petritis D.
 Equilibrium statistical mechanics of frustrated spin glasses: a survey
of mathematical results
(351K, postscript)
Nov 23, 94

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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 EdwardsAnderson and
the SherringtonKirkpatrick 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.
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