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These proceedings of the workshop on quantum probability held in
Heidelberg, September 26-30, 1988 contains a representative
selection of research articles on quantum stochastic processes,
quantum stochastic calculus, quantum noise, geometry, quantum
probability, quantum central limit theorems and quantum statistical
mechanics.
This volume, the fourth of the quantum probability series, collects
part of the contributions to the Year of Quantum Probability
organized by the Volterra Center of University of Rome II. The
intensive communication among researchers during this Year allowed
several open problems to be solved and several inexpected
connections to be revealed.
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 K mmerer's review article on
Quantum Markov Processes, all contributions are original research
papers.
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