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008 101111s2011 gw | s |||| 0|eng d
020 _a9783642152023
_9978-3-642-15202-3
040 _cMX-MeUAM
050 4 _aQA273.A1-274.9
050 4 _aQA274-274.9
082 0 4 _a519.2
_223
100 1 _aTalagrand, Michel.
_eauthor.
245 1 0 _aMean Field Models for Spin Glasses
_h[recurso electrónico] :
_bVolume I: Basic Examples /
_cby Michel Talagrand.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXVIII, 485 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ;
_v54
505 0 _aIntroduction -- 1. The Sherrington-Kirkpatrick Model -- 2. The Perceptron Model -- 3. The Shcherbina and Tirozzi Model -- 4. The Hopfield Model -- 5. The V-statistics Model -- 6. The Diluted SK Model and the K-Sat Problem -- 7. An Assignment Problem -- A. Appendix: Elements of Probability Theory -- References -- Index -- Glossary.
520 _aThis is a new, completely revised, updated and enlarged edition of the author's Ergebnisse vol. 46: "Spin Glasses: A Challenge for Mathematicians". This new edition will appear in two volumes, the present first volume presents the basic results and methods, the second volume is expected to appear in 2011. In the eighties, a group of theoretical physicists introduced several models for certain disordered systems, called "spin glasses". These models are simple and rather canonical random structures, of considerable interest for several branches of science (statistical physics, neural networks and computer science). The physicists studied them by non-rigorous methods and predicted spectacular behaviors. This book introduces in a rigorous manner this exciting new area to the mathematically minded reader. It requires no knowledge whatsoever of any physics. The first volume of this new and completely rewritten edition presents six fundamental models and the basic techniques to study them.
650 0 _aMathematics.
650 0 _aDistribution (Probability theory).
650 0 _aMathematical physics.
650 1 4 _aMathematics.
650 2 4 _aProbability Theory and Stochastic Processes.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aCondensed Matter Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642152016
830 0 _aErgebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics ;
_v54
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-15202-3
596 _a19
942 _cLIBRO_ELEC
999 _c202843
_d202843