000 02691nam a22003978i 4500
001 CR9780511616808
003 UkCbUP
005 20200124160223.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090915s2006||||enk o ||1 0|eng|d
020 _a9780511616808 (ebook)
020 _z9780521849913 (hardback)
020 _z9781107405332 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQC174.8
_b.B67 2006
082 0 4 _a519.5
_222
100 1 _aBovier, Anton,
_d1957-
_eauthor.
245 1 0 _aStatistical mechanics of disordered systems :
_ba mathematical perspective /
_cAnton Bovier.
264 1 _aCambridge :
_bCambridge University Press,
_c2006.
300 _a1 online resource (xiv, 312 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge series on statistical and probabilistic mathematics ;
_v18
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 _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.
520 _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.
650 0 _aStatistical mechanics.
650 0 _aMathematical statistics.
650 0 _aProbabilities.
650 0 _aSystem theory.
776 0 8 _iPrint version:
_z9780521849913
830 0 _aCambridge series on statistical and probabilistic mathematics ;
_v18.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511616808
999 _c516940
_d516938