LEADER 03621nam 2200757Ia 450 001 9910823314703321 005 20200520144314.0 010 $a1-107-15343-3 010 $a1-280-48005-X 010 $a9786610480050 010 $a0-511-16868-3 010 $a0-511-16911-6 010 $a0-511-16769-5 010 $a0-511-31455-8 010 $a0-511-61680-5 010 $a0-511-16823-3 035 $a(CKB)1000000000352536 035 $a(EBL)266152 035 $a(OCoLC)173610031 035 $a(SSID)ssj0000251071 035 $a(PQKBManifestationID)11228914 035 $a(PQKBTitleCode)TC0000251071 035 $a(PQKBWorkID)10248321 035 $a(PQKB)10794613 035 $a(UkCbUP)CR9780511616808 035 $a(MiAaPQ)EBC266152 035 $a(Au-PeEL)EBL266152 035 $a(CaPaEBR)ebr10130426 035 $a(CaONFJC)MIL48005 035 $a(PPN)137614993 035 $a(EXLCZ)991000000000352536 100 $a20060818d2006 uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStatistical mechanics of disordered systems $ea mathematical perspective /$fAnton Bovier 205 $a1st ed. 210 $aCambridge, UK $cCambridge University Press$d2006 215 $a1 online resource (xiv, 312 pages) $cdigital, PDF file(s) 225 1 $aCambridge series in statistical and probabilistic mathematics ;$v[18] 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a1-107-40533-5 311 $a0-521-84991-8 320 $aIncludes bibliographical references (p. [297]-308) and index. 327 $aPrinciples of statistical mechanics -- Lattice gases and spin systems -- Gibbsian formalism for lattice spin systems -- Cluster expansions -- Gibbsian formalism and metastates -- The random-field Ising model -- Disordered mean-field models -- The random energy model -- Derrida's generalized random energy models -- The SK models and the Parisi solution -- Hopfield models -- The number partitioning problem. 330 $aThis self-contained book is a graduate-level introduction for mathematicians and for physicists interested in the mathematical foundations of the field, and can be used as a textbook for a two-semester course on mathematical statistical mechanics. It assumes only basic knowledge of classical physics and, on the mathematics side, a good working knowledge of graduate-level probability theory. The book starts with a concise introduction to statistical mechanics, proceeds to disordered lattice spin systems, and concludes with a presentation of the latest developments in the mathematical understanding of mean-field spin glass models. In particular, progress towards a rigorous understanding of the replica symmetry-breaking solutions of the Sherrington-Kirkpatrick spin glass models, due to Guerra, Aizenman-Sims-Starr and Talagrand, is reviewed in some detail. 410 0$aCambridge series on statistical and probabilistic mathematics ;$v18. 606 $aStatistical mechanics 606 $aMathematical statistics 606 $aProbabilities 606 $aSystem theory 615 0$aStatistical mechanics. 615 0$aMathematical statistics. 615 0$aProbabilities. 615 0$aSystem theory. 676 $a519.5 700 $aBovier$b Anton$f1957-$0300719 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910823314703321 996 $aStatistical mechanics of disordered systems$91099248 997 $aUNINA