000			03062nam a22005537a 4500
001			sulb-eb0022502
003			BD-SySUS
005			20160413122301.0
007			cr nn 008mamaa
008			130221s2013 xxu| s |||| 0|eng d
020			_a9781461462897 _9978-1-4614-6289-7
024	7		_a10.1007/978-1-4614-6289-7 _2doi
050		4	_aQA273.A1-274.9
050		4	_aQA274-274.9
072		7	_aPBT _2bicssc
072		7	_aPBWL _2bicssc
072		7	_aMAT029000 _2bisacsh
082	0	4	_a519.2 _223
100	1		_aPanchenko, Dmitry. _eauthor.
245	1	4	_aThe Sherrington-Kirkpatrick Model _h[electronic resource] / _cby Dmitry Panchenko.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aXII, 156 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_aPreface -- 1 The Free Energy and Gibbs Measure -- 2 The Ruelle Probability Cascades -- 3 The Parisi Formula -- 4 Toward a Generalized Parisi Ansatz -- A Appendix -- Bibliography -- Notes and Comments -- References -- Index.
520			_aThe celebrated Parisi solution of the Sherrington-Kirkpatrick model for spin glasses is one of the most important achievements in the field of disordered systems. Over the last three decades, through the efforts of theoretical physicists and mathematicians, the essential aspects of the Parisi solution were clarified and proved mathematically. The core ideas of the theory that emerged are the subject of this book, including the recent solution of the Parisi ultrametricity conjecture and a conceptually simple proof of the Parisi formula for the free energy. The treatment is self-contained and should be accessible to graduate students with a background in probability theory, with no prior knowledge of spin glasses. The methods involved in the analysis of the Sherrington-Kirkpatrick model also serve as a good illustration of such classical topics in probability as the Gaussian interpolation and concentration of measure, Poisson processes, and representation results for exchangeable arrays.
650		0	_aMathematics.
650		0	_aProbabilities.
650		0	_aMathematical physics.
650		0	_aPhysics.
650		0	_aStatistical physics.
650		0	_aDynamical systems.
650	1	4	_aMathematics.
650	2	4	_aProbability Theory and Stochastic Processes.
650	2	4	_aMathematical Physics.
650	2	4	_aMathematical Methods in Physics.
650	2	4	_aStatistical Physics, Dynamical Systems and Complexity.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461462880
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-6289-7
912			_aZDB-2-SMA
942			_2Dewey Decimal Classification _ceBooks
999			_c44594 _d44594