Quantum Probability For Probabilists
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Quantum Probability For Probabilists
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Author : Paul-Andre Meyer
language : en
Publisher: Springer
Release Date : 2013-11-11
Quantum Probability For Probabilists written by Paul-Andre Meyer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
These notes contain all the material accumulated over six years in Strasbourg to teach "Quantum Probability" to myself and to an audience of commutative probabilists. The text, a first version of which appeared in successive volumes of the Seminaire de Probabilite8, has been augmented and carefully rewritten, and translated into international English. Still, it remains true "Lecture Notes" material, and I have resisted suggestions to publish it as a monograph. Being a non-specialist, it is important for me to keep the moderate right to error one has in lectures. The origin of the text also explains the addition "for probabilists" in the title : though much of the material is accessible to the general public, I did not care to redefine Brownian motion or the Ito integral. More precisely than "Quantum Probability" , the main topic is "Quantum Stochastic Calculus" , a field which has recently got official recognition as 81825 in the Math.
Quantum Probability For Probabilists
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Author : Paul André Meyer
language : en
Publisher: Springer
Release Date : 1993
Quantum Probability For Probabilists written by Paul André Meyer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Distribution (Probability theory). categories.
In recent years, the classical theory of stochastic integration and stochastic differential equations has been extended to a non-commutative set-up to develop models for quantum noises. The author, a specialist of classical stochastic calculus and martingale theory, tries to provide anintroduction to this rapidly expanding field in a way which should be accessible to probabilists familiar with the Ito integral. It can also, on the other hand, provide a means of access to the methods of stochastic calculus for physicists familiar with Fock space analysis.
Quantum Probability
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Author : Stanley P. Gudder
language : en
Publisher: Academic Press
Release Date : 1988-09
Quantum Probability written by Stanley P. Gudder and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-09 with Mathematics categories.
Quantum probability is a subtle blend of quantum mechanics and classical probability theory. Its important ideas can be traced to the pioneering work of Richard Feynman in his path integral formalism. Only recently have the concept and ideas of quantum probability been presented in a rigorous axiomatic framework, and this book provides a coherent and comprehensive exposition of this approach. It gives a unified treatment of operational statistics, generalized measure theory and the path integral formalism that can only be found in scattered research articles. The first two chapters survey the necessary background in quantum mechanics and probability theory and therefore the book is fairly self-contained, assuming only an elementary knowledge of linear operators in Hilbert space.
Quantum Probability Communications Volume X
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Author : R L Hudson
language : en
Publisher: World Scientific
Release Date : 1998-10-07
Quantum Probability Communications Volume X written by R L Hudson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-07 with Science categories.
Much has changed in the world of quantum probability since the publication of the last volume in this series. Giants in the field, such as P-A Meyer, K R Parthasarathy and W von Waldenfels, have reached the age of retirement. Readers will, however, be pleased to see evidence in the present volume that Partha remains as creatively active as ever. The field itself, regarded at one time as the esoteric province of a small group of devotees, has come of age. It has attracted the enthusiastic commitment of an ever-growing army of young mathematicians and physicists, many of whom are represented here.
Lectures On Probability Theory
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Author : Philippe Biane
language : en
Publisher: Springer
Release Date : 2006-11-14
Lectures On Probability Theory written by Philippe Biane and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This book contains two of the three lectures given at the Saint-Flour Summer School of Probability Theory during the period August 18 to September 4, 1993.
Partial Differential Equations For Probabalists Sic
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Author : Daniel W. Stroock
language : en
Publisher: Cambridge University Press
Release Date : 2008
Partial Differential Equations For Probabalists Sic written by Daniel W. Stroock and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Differential equations, Elliptic categories.
Kolmogorov's forward, basic results -- Non-elliptic regularity results -- Preliminary elliptic regularity results -- Nash theory -- Localization -- On a manifold -- Subelliptic estimates and Hörmander's theorem.
Probability Towards 2000
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Author : L. Accardi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Probability Towards 2000 written by L. Accardi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Senior probabilists from around the world with widely differing specialities gave their visions of the state of their specialty, why they think it is important, and how they think it will develop in the new millenium. The volume includes papers given at a symposium at Columbia University in 1995, but papers from others not at the meeting were added to broaden the coverage of areas. All papers were refereed.
Lectures On Probability Theory
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Author : Dominique Bakry
language : en
Publisher: Springer
Release Date : 2006-11-15
Lectures On Probability Theory written by Dominique Bakry and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
This book contains work-outs of the notes of three 15-hour courses of lectures which constitute surveys on the concerned topics given at the St. Flour Probability Summer School in July 1992. The first course, by D. Bakry, is concerned with hypercontractivity properties and their use in semi-group theory, namely Sobolev and Log Sobolev inequa- lities, with estimations on the density of the semi-groups. The second one, by R.D. Gill, is about statistics on survi- val analysis; it includes product-integral theory, Kaplan- Meier estimators, and a look at cryptography and generation of randomness. The third one, by S.A. Molchanov, covers three aspects of random media: homogenization theory, loca- lization properties and intermittency. Each of these chap- ters provides an introduction to and survey of its subject.
Creating Modern Probability
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Author : Jan von Plato
language : en
Publisher: Cambridge University Press
Release Date : 1998-01-12
Creating Modern Probability written by Jan von Plato and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-12 with Mathematics categories.
In this book the author charts the history and development of modern probability theory.
Probability On Algebraic Structures
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Author : Gregory Budzban
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Probability On Algebraic Structures written by Gregory Budzban and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
This volume presents results from an AMS Special Session held on the topic in Gainesville (FL). Papers included are written by an international group of well-known specialists who offer an important cross-section of current work in the field. In addition there are two expository papers that provide an avenue for non-specialists to comprehend problems in this area. The breadth of research in this area is evident by the variety of articles presented in the volume. Results concern probability on Lie groups and general locally compact groups. Generalizations of groups appear as hypergroups, abstract semigroups, and semigroups of matrices. Work on symmetric cones is included. Lastly, there are a number of articles on the current progress in constructing stochastic processes on quantum groups.