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＜電子ブック＞
Stochastic Analysis and Mathematical Physics II : 4th International ANESTOC Workshop in Santiago, Chile / edited by Rolando Rebolledo
(Trends in Mathematics. ISSN:2297024X)

版	1st ed. 2003.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2003
本文言語	英語
大きさ	XI, 162 p : online resource
著者標目	Rebolledo, Rolando editor SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Mathematical physics LCSH:Quantum physics LCSH:Spintronics LCSH:Statistics  FREE:Probability Theory FREE:Mathematical Methods in Physics FREE:Quantum Physics FREE:Spintronics FREE:Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences
一般注記	1 Quantum Boltzmann Statistics in Interacting Systems -- 1 Introduction -- 2 Quantum Boltzmann statistics for entangled operators -- 3 References -- 2 Interaction Representation Method for Markov Master Equations in Quantum Optics -- 1 Sufficient conditions for conservativity -- 2 A priori bounds -- 3 Structure of generators of MME in quantum optics -- 4 Examples -- 5 Discussion -- 6 References -- 3 A Stochastic Variational Principle for Burgers Equation and its Symmetries -- 1 Introduction -- 2 Variational problem -- 3 Stochastic first integrals -- 4 An integration by parts formula -- 5 References -- 4 Noncommutative Versions of Prohorov and Varadhan Theorems -- 1 Vague and narrow convergence of positive functionals -- 2 Noncommutative large deviations -- 3 References -- 5 Gaussian Domination and Bose-Einstein Condensation -- 1 Introduction -- 2 Some Historical Remarks -- 3 Model Systems -- 4 Gaussian Domination and its Application to the Study of Bose Systems -- 5 References -- 6 Quantum Markov Semigroups and their Stationary States -- 1 Introduction -- 2 Ergodic theorems -- 3 The minimal quantum dynamical semigroup -- 4 The existence of Stationary States -- 5 Faithful Stationary States and Irreducibility -- 6 The convergence towards the equilibrium -- 7 References -- 7 Exponential Decay for Perturbations of Pure Point Hamiltonians -- 1 Introduction -- 2 Absolutely continuous perburbations of pure point operators -- 3 Sojourn time and Spectral Entropy -- 4 References -- 8 Propagation of Chaos in Classical and Quantum Kinetics -- 1 Overview -- 2 Classical and Quantum Molecular Chaos -- 3 Classical Manifestations of the Propagation of Quantum Molecular Chaos -- 4 Acknowledgements -- 5 References -- 9 Imprimitivity Systems and Quantum Codes -- 1 Introduction -- 2 Imprimitivity systems and quantization of classical codes -- 3 Tensor products of imprimitivity system and quantum codes -- 4 References -- 10 Boson Fock Algebra on the Unit Ball of the d-Dimensional Complex Numbers -- 1 Introduction -- 2 Operators on the algebra A0 (Bd) -- 3 Introduction to Boson Fock space -- 4 Boson Fock space on the unit ball -- 5 References The seminar on Stochastic Analysis and Mathematical Physics of the Ca­ tholic University of Chile, started in Santiago in 1984, has being followed and enlarged since 1995 by a series of international workshops aimed at pro­ moting a wide-spectrum dialogue between experts on the fields of classical and quantum stochastic analysis, mathematical physics, and physics. This volume collects most of the contributions to the Fourth Interna­ tional Workshop on Stochastic Analysis and Mathematical Physics (whose Spanish abbreviation is "ANESTOC"; in English, "STAMP"), held in San­ tiago, Chile, from January 5 to 11, 2000. The workshop style stimulated a vivid exchange of ideas which finally led to a number of written con­ tributions which I am glad to introduce here. However, we are currently submitted to a sort of invasion of proceedings books, and we do not want to increase our own shelves with a new one of the like. On the other hand, the editors of conference proceedings have to use different exhausting and com­ pulsive strategies to persuade authors to write and provide texts in time, a task which terrifies us. As a result, this volume is aimed at smoothly start­ ing a new kind of publication. What we would like to have is a collection of books organized like our seminar HTTP:URL=https://doi.org/10.1007/978-3-0348-8018-3

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