Quantum probability for probabilists / Paul André Meyer.
By: Meyer, Paul André
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Includes bibliographical references (pages 277-283) and indexes.
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Appendix 4: C*-algebras. 1. Elementary theory. 2. States on C*-algebras. 3. Von Neumann algebras. 4. The Tomita-Takesaki theory -- Appendix 5: Local Times and Fock Space. 1. Dynkin's formula. 2. Le Jan's "supersymmetric" approach.
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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.
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Quantum probability for probabilists / by Meyer, Paul André. ©1995 |
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