Quantum Probability and Applications III

1. Front Matter

   Pages I-VI

   PDF

2. A note on Meyer's note

   • Luigi Accardi

   Pages 1-5

3. Stochastic integration

   • Luigi Accardi, Franco Fagnola

   Pages 6-19

4. Quantum stochastic parallel transport on non-commutative vector bundles

   • David Applebaum

   Pages 20-36

5. Input and output channels in quantum systems and quantum stochastic differential equations

   • Alberto Barchielli

   Pages 37-51

6. Some noncommutative Radon-Nikodym Theorems for von Neumann algebras

   • Carlo Cecchini

   Pages 52-68

7. Multidimensional quantum diffusions

   • M. Evans, R. L. Hudson

   Pages 69-88

8. An application of de finetti's theorem

   • M. Fannes

   Pages 89-102

9. The quantum Langevin equation from the independent-oscillator model

   • G. W. Ford

   Pages 103-106

10. Quantum poisson processes: Physical motivations and applications

    • Alberto Frigerio

    Pages 107-127

11. A noncommutative generalization of conditionally positive definite functions

    • A. S. Holevo

    Pages 128-148

12. Contraction semigroups in L2 over a von neumann algebra

    • Ryszard Jajte

    Pages 149-153

13. Survey on a theory of non-commutative stationary markov processes

    • Burkhard Kümmerer

    Pages 154-182

14. Dynamical entropy for quantum systems

    • Göran Lindblad

    Pages 183-191

15. An integral kernel approach to noise

    • Martin Lindsay, Hans Maassen

    Pages 192-208

16. A note on shifts and cocycles

    • P. A. Meyer

    Pages 209-212

17. Local measures in fock space stochastic calculus and a generalized ito-tanaka formula

    • K. R. Parthasarathy

    Pages 213-231

18. Representation of a class of quantum martingales II

    • K. R. Parthasarathy, Kalyan B. Sinha

    Pages 232-250

19. Conditional expectation in quantum probability

    • Dènes Petz

    Pages 251-260

20. Mutual quadratic variation and ito's table in quantum stochastic calculus

    • Johan Quaegebeur

    Pages 261-274

These proceedings of the first Quantum Probability meeting held in Oberwolfach is the fourth in a series begun with the 1982 meeting of Mondragone and continued in Heidelberg ('84) and in Leuven ('85). The main topics discussed were: quantum stochastic calculus, mathematical models of quantum noise and their applications to quantum optics, the quantum Feynman-Kac formula, quantum probability and models of quantum statistical mechanics, the notion of conditioning in quantum probability and related problems (dilations, quantum Markov processes), quantum central limit theorems. With the exception of Kümmerer's review article on Quantum Markov Processes, all contributions are original research papers.

• Algebra
• Feynman-Kac formula
• Markov
• Markov process
• Martingale
• Poisson process
• Stochastic calculus
• Stochastic processes
• calculus
• mechanics
• mixing
• model
• quadratic variation
• thermodynamics
• transformation

Policies and ethics