000			04305cam a2200637Ma 4500
001			ocn747413221
003			OCoLC
005			20250703133253.0
006			m o d
007			cr cn|||||||||
008			110705s2011 nyua ob 101 0 eng d
040			_aE7B _beng _epn _cE7B _dOCLCQ _dGW5XE _dCOO _dOCLCQ _dOCLCF _dOCLCQ _dOCLCO _dOCLCQ _dZ5A _dLIP _dESU _dIOG _dCEF _dOCLCQ _dU3W _dYOU _dOCLCQ _dDCT _dAJS _dCOM _dOCLCO _dOCL _dOCLCQ _dOCLCO _dOCLCL _dS9M _dOCLCL
020			_a9783642211560 _q(electronic bk.)
020			_a3642211569 _q(electronic bk.)
020			_z9783642211553
029	1		_aNLGGC _b384150144
035			_a(OCoLC)747413221
050		4	_aQA273 _b.G53 2011eb
082	0	4	_a519.2 _223 _1https://id.oclc.org/worldcat/ddc/E3m3d7kt3KQ7KTdh4XVbfC3PKm
049			_aMAIN
100	1		_aGiacomin, Giambattista. _978669
245	1	0	_aDisorder and critical phenomena through basic probability models : _bÉcole d'été de probabilités de Saint-Flour XL, 2010 / _cGiambattista Giacomin.
260			_aNew York : _bSpringer, _c2011.
300			_a1 online resource (xi, 130 pages) : _billustrations (some color)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLecture notes in mathematics, _x0075-8434 ; _v2025
504			_aIncludes bibliographical references and index.
588	0		_aPrint version record.
505	0		_a1 Introduction -- 2 Homogeneous pinning systems: a class of exactly solved models -- 3 Introduction to disordered pinning models -- 4 Irrelevant disorder estimates -- 5 Relevant disorder estimates: the smoothing phenomenon -- 6 Critical point shift: the fractional moment method -- 7 The coarse graining procedure -- 8 Path properties.
520			_aUnderstanding the effect of disorder on critical phenomena is a central issue in statistical mechanics. In probabilistic terms: what happens if we perturb a system exhibiting a phase transition by introducing a random environment? The physics community has approached this very broad question by aiming at general criteria that tell whether or not the addition of disorder changes the critical properties of a model: some of the predictions are truly striking and mathematically challenging. We approach this domain of ideas by focusing on a specific class of models, the "pinning models," for which a series of recent mathematical works has essentially put all the main predictions of the physics community on firm footing; in some cases, mathematicians have even gone beyond, settling a number of controversial issues. But the purpose of these notes, beyond treating the pinning models in full detail, is also to convey the gist, or at least the flavor, of the "overall picture," which is, in many respects, unfamiliar territory for mathematicians.
650		0	_aProbabilities. _91650
650		0	_aDistribution (Probability theory) _9959
650		2	_aProbability _950701
650		6	_aProbabilités.
650		6	_aDistribution (Théorie des probabilités)
650		7	_aprobability. _2aat _950701
650		7	_adistribution (statistics-related concept) _2aat _9966919
650		7	_aProbabilidades _2embne _9973521
650		7	_aDistribución (Teoría de probabilidades) _2embne _9973654
650		7	_aDistribution (Probability theory) _2fast _9959
650		7	_aProbabilities _2fast _91650
655		2	_aCongress _911670
655		7	_aproceedings (reports) _2aat
655		7	_aConference papers and proceedings _2fast _96065
655		7	_aConference papers and proceedings. _2lcgft _96065
655		7	_aActes de congrès. _2rvmgf _9609890
711	2		_aEcole d'été de probabilités de Saint-Flour _n(40th : _d2010)
758			_ihas work: _aDisorder and critical phenomena through basic probability models (Text) _1https://id.oclc.org/worldcat/entity/E39PCGcVbmcY6FyJvKX7BJ8h6q _4https://id.oclc.org/worldcat/ontology/hasWork
776	0	8	_iPrint version: _aGiacomin, Giambattista. _tDisorder and critical phenomena through basic probability models. _dNew York : Springer, 2011 _w(DLC) 2011933580
830		0	_aLecture notes in mathematics (Springer-Verlag) ; _v2025.
856	4	0	_uhttps://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-642-21156-0
938			_aebrary _bEBRY _nebr10485291
994			_a92 _bATIST
999			_c651194 _d651194