000			04216nam a22006015i 4500
001			978-3-319-33379-3
003			DE-He213
005			20181204134228.0
007			cr nn 008mamaa
008			161210s2016 gw | s |||| 0|eng d
020			_a9783319333793 _9978-3-319-33379-3
024	7		_a10.1007/978-3-319-33379-3 _2doi
040			_aISI Library, Kolkata
050		4	_aQA401-425
050		4	_aQC19.2-20.85
072		7	_aPHU _2bicssc
072		7	_aSCI040000 _2bisacsh
072		7	_aPHU _2thema
082	0	4	_a530.15 _223
100	1		_aBorot, Gaëtan. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aAsymptotic Expansion of a Partition Function Related to the Sinh-model _h[electronic resource] / _cby Gaëtan Borot, Alice Guionnet, Karol K. Kozlowski.
264		1	_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2016.
300			_aXV, 222 p. 4 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aMathematical Physics Studies, _x0921-3767
505	0		_aIntroduction -- Main results and strategy of proof -- Asymptotic expansion of ln ZN[V], the Schwinger-Dyson equation approach -- The Riemann–Hilbert approach to the inversion of SN -- The operators WN and U-1N -- Asymptotic analysis of integrals -- Several theorems and properties of use to the analysis -- Proof of Theorem 2.1.1 -- Properties of the N-dependent equilibrium measure -- The Gaussian potential -- Summary of symbols.
520			_aThis book elaborates on the asymptotic behaviour, when N is large, of certain N-dimensional integrals which typically occur in random matrices, or in 1+1 dimensional quantum integrable models solvable by the quantum separation of variables. The introduction presents the underpinning motivations for this problem, a historical overview, and a summary of the strategy, which is applicable in greater generality. The core  aims at proving an expansion up to o(1) for the logarithm of the partition function of the sinh-model. This is achieved by a combination of potential theory and large deviation theory so as to grasp the leading asymptotics described by an equilibrium measure, the Riemann-Hilbert approach to truncated Wiener-Hopf in order to analyse the equilibrium measure, the Schwinger-Dyson equations and the boostrap method to finally obtain an expansion of correlation functions and the one of the partition function. This book is addressed to researchers working in random matrices, statistical physics or integrable systems, or interested in recent developments of asymptotic analysis in those fields.
650		0	_aDistribution (Probability theory.
650		0	_aPotential theory (Mathematics).
650		0	_aMathematical physics.
650		0	_aStatistical physics.
650	1	4	_aMathematical Physics. _0http://scigraph.springernature.com/things/product-market-codes/M35000
650	2	4	_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004
650	2	4	_aPotential Theory. _0http://scigraph.springernature.com/things/product-market-codes/M12163
650	2	4	_aComplex Systems. _0http://scigraph.springernature.com/things/product-market-codes/P33000
650	2	4	_aMathematical Methods in Physics. _0http://scigraph.springernature.com/things/product-market-codes/P19013
650	2	4	_aStatistical Physics and Dynamical Systems. _0http://scigraph.springernature.com/things/product-market-codes/P19090
700	1		_aGuionnet, Alice. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
700	1		_aKozlowski, Karol K. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783319333786
776	0	8	_iPrinted edition: _z9783319333809
776	0	8	_iPrinted edition: _z9783319814995
830		0	_aMathematical Physics Studies, _x0921-3767
856	4	0	_uhttps://doi.org/10.1007/978-3-319-33379-3
912			_aZDB-2-SMA
942			_cEB
950			_aMathematics and Statistics (Springer-11649)
999			_c426515 _d426515