000 02430nam a22003015i 4500
001 66644
005 20210422154539.0
010 _a978-3-7643-9891-0
_dcompra
090 _a66644
100 _a20150401d2009 k||y0pory50 ba
101 _aeng
102 _aCH
200 _aSpin glasses
_bDocumento electrónico
_estatics and dynamics
_eSummer School, Paris 2007
_fedited by Anne Boutet Monvel, Anton Bovier
210 _aBasel
_cBirkhäuser Basel
_d2009
215 _aXII, 278 p.
225 _aProgress in Probability
300 _aColocação: Online
303 _aOver the last decade, spin glass theory has turned from a fascinating part of t- oretical physics to a ?ourishing and rapidly growing subject of probability theory as well. These developments have been triggered to a large part by the mathem- ical understanding gained on the fascinating and previously mysterious “Parisi solution” of the Sherrington–Kirkpatrick mean ?eld model of spin glasses, due to the work of Guerra, Talagrand, and others. At the same time, new aspects and applications of the methods developed there have come up. The presentvolumecollects a number of reviewsaswellas shorterarticlesby lecturers at a summer school on spin glasses that was held in July 2007 in Paris. These articles range from pedagogical introductions to state of the art papers, covering the latest developments. In their whole, they give a nice overview on the current state of the ?eld from the mathematical side. The review by Bovier and Kurkova gives a concise introduction to mean ?eld models, starting with the Curie–Weiss model and moving over the Random Energymodels up to the Parisisolutionof the Sherrington–Kirkpatrikmodel. Ben Arous and Kuptsov present a more recent view and disordered systems through the so-called local energy statistics. They emphasize that there are many ways to look at Hamiltonians of disordered systems that make appear the Random Energy model (or independent random variables) as a universal mechanism for describing certain rare events. An important tool in the analysis of spin glasses are correlation identities.
606 _94284
_aMateriais
_xComportamento térmico
680 _aQC176.8
702 _957441
_aMonvel
_bAnne Boutet
_4340
702 _aBovier
_bAnton
_4340
801 _aPT
_gRPC
856 _uhttp://dx.doi.org/10.1007/978-3-7643-9891-0
942 _2lcc
_cF
_n0