Stochastic analysis and mathematical physics II : 4th international ANESTOC workshop in Santiago, Chile / Rolando Rebolledo, editor.

Other author Rebolledo, Roland, 1947-
Format Book
Publication InfoBasel : Birkhàˆuser, 2003.
Descriptionxi, 162 pages ; 25 cm.
Supplemental ContentPublisher description
Subjects
Stochastic analysis.
Mathematical physics.

SeriesTrends in mathematics
Trends in mathematics.
Contents 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.
Abstract The seminar on Stochastic Analysis and Mathematical Physics of the CaU tholic University of Chile, started in Santiago in 1984, has being followed and enlarged since 1995 by a series of international workshops aimed at proU 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 InternaU tional Workshop on Stochastic Analysis and Mathematical Physics (whose Spanish abbreviation is "ANESTOC"; in English, "STAMP"), held in SanU 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 conU 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 comU 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 startU ing a new kind of publication. What we would like to have is a collection of books organized like our seminar.
Bibliography noteIncludes bibliographical references.
LCCN 2005357420
ISBN3764369973 (hd. bd.)
ISBN9783764369972 (hd. bd.)

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QC20.7.S8 S733 2003 ✔ Available Place Hold