000			03186nam a22004813i 4500
001			EBC3113938
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005			20240729124555.0
006			m o d |
007			cr cnu||||||||
008			240724s1994 xx o ||||0 eng d
020			_a9781470400958 _q(electronic bk.)
020			_z9780821825778
035			_a(MiAaPQ)EBC3113938
035			_a(Au-PeEL)EBL3113938
035			_a(CaPaEBR)ebr10918891
035			_a(OCoLC)891396784
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA274.25 -- .C376 1994eb
082	0		_a519.2
100	1		_aCarmona, René A.
245	1	0	_aParabolic Anderson Problem and Intermittency.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1994.
264		4	_c©1994.
300			_a1 online resource (138 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.108
505	0		_aIntro -- CONTENTS -- I: INTRODUCTION -- II: EXISTENCE AND UNIQUENESS PROBLEMS -- II.1 The Deterministic Problem -- II.1.1 The Feynman-Kac Representation -- II.1.2 Special Notations -- II.1.3 Existence Problems -- II.1.4 Uniqueness -- II.2 The Random Case -- II.2.1 Setting of the Problem -- II.2.2 Continuity of the Feynman-Kac Formula -- II.2.3 The Case of a Homogeneous Potential Field -- II.2.4 The Case of a White Noise Potential -- II.2.5 A Diffusion Limit Approximation Result -- II.3 Existence and Equations for the Moments -- III: MOMENT LYAPUNOV EXPONENTS AND INTERMITTENCY -- III.1 The White Noise Case -- III.1.1 Existence of the Moment Lyapunov Exponents -- III.1.2 An Explicitly Solvable Model -- III.1.3 First General Properties -- III.1.4 Small k Behavior of γ[sub(p)](K) -- III.1.5 Large K Behavior of γ[sub(p)](K) -- III.1.6 Asymptotic Behavior of the Critical Diffusion Constant -- III.1.7 Summary -- III.2 The Case of Finite Correlation Length -- III.2.1 Existence of γ[sub(p)](σ) -- III.2.2 Estimation of γ[sub(p)](σ)/P -- III.2.3 Continuity Results -- III.2.4 Lyapunov Exponents as Functions of K -- III.2.5 Another Explicitly Solvable Model -- IV: ALMOST SURE LYAPUNOV EXPONENTS -- IV.1 Existence -- IV.2 Proof of the Lower Bound -- IV.3 Proof of the Upper Bound -- V: CONCLUDING REMARKS.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aStochastic partial differential equations.
650		0	_aRandom operators.
650		0	_aGaussian processes.
655		4	_aElectronic books.
700	1		_aMolchanov, S.A.
776	0	8	_iPrint version: _aCarmona, René A. _tParabolic Anderson Problem and Intermittency _dProvidence : American Mathematical Society,c1994 _z9780821825778
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113938 _zClick to View
999			_c69469 _d69469