| Description |
1 online resource (xi, 457 pages) : illustrations |
| Series |
Lecture notes in mathematics, 0075-8434 ; 1954 |
|
Lecture notes in mathematics (Springer-Verlag) ; 1954.
|
| Contents |
Introduction -- Potential theory in classical probability / Nicolas Privault -- Introduction to random walks on noncommutative spaces / Philippe Biane -- Interactions between quantum probability and operator space theory / Quanhua Xu -- Dirichlet forms on noncommutative spaces / Fabio Cipriani -- Applications of quantum stochastic processes in quantum optics / Luc Bouten -- Quantum Walks / Norio Konno -- Index |
| Summary |
This volume contains the revised and completed notes of lectures given at the school "Quantum Potential Theory: Structure and Applications to Physics," held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald from February 26 to March 10, 2007. Quantum potential theory studies noncommutative (or quantum) analogs of classical potential theory. These lectures provide an introduction to this theory, concentrating on probabilistic potential theory and it quantum analogs, i.e. quantum Markov processes and semigroups, quantum random walks, Dirichlet forms on C* and von Neumann algebras, and boundary theory. Applications to quantum physics, in particular the filtering problem in quantum optics, are also presented |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
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Print version record |
| Subject |
Potential theory (Mathematics)
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Markov processes.
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Semigroups.
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Functional analysis.
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Probabilities.
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Quantum theory.
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Potential theory (Physics)
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Markov Chains
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Probability
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Quantum Theory
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probability.
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Probabilidades
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Análisis funcional
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Semigrupos
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Markov, Procesos de
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Potencial, Teoría del (Matemáticas)
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Quantum theory
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Probabilities
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Potential theory (Physics)
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Functional analysis
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Markov processes
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Potential theory (Mathematics)
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Semigroups
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| Form |
Electronic book
|
| Author |
Schürmann, Michael, 1955-
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Franz, Uwe
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Biane, P. (Philippe)
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| ISBN |
9783540693659 |
|
3540693653 |
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9783540693642 |
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3540693645 |
|
