[see attached for complete text] Highlights emergent research in the area of quantum probability. Several papers present a qualitative analysis of quantum dynamical semigroups and new results on q-deformed oscillator algebras, while others stress the application of classical stochastic processes in quantum modelling. Targets an audience of mathematical physicists as well as specialists in probability theory, stochastic analysis, and operator algebras. Contributors to the volume include: R. Carbone, M. Corgini, A. B. Cruzeiro, F. Fagnola, C. Fern\'andez, J.Garcia, A. Guichardet, E.B.
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