Quantum probability communications QP-PQ, (Volumes 11 & 12)

Lecture notes from a Summer School on Quantum Probability held at the University of Grenoble are collected in these two volumes of the QP–PQ series. The articles have been refereed and extensively revised for publication. It is hoped that both current and future students of quantum probability will be engaged, informed and inspired by the contents of these two volumes. An extensive bibliography containing the references from all the lectures is included in Volume 12.

Volume 11. Extensions of Quantum Stochastic Calculus. Quantum Itô Algebras: Axioms, Representations, Decompositions. Free Probability for Probabilists. Conditional Expectations on von Neumann Algebras. Classical Probability Theory: An Outline of Stochastic Integrals and Diffusions. Quantum Stochastic Differential Equations. Canonical Commutation and Anticommutation Relations. Quantum and Classical Stochastic Calculus. An Introduction to Quantum Stochastic Calculus and Some of Its Applications. Stationary Processes in Quantum Probability. Volume 12. Integral-Sum Kernel Operators. Quantum Probability Applied to the Damped Harmonic Oscillator. Quantum Probability and Strong Quantum Markov Processes. Limit Problems for Quantum Dynamical Semigroups — Inspired by Scattering Theory. A Survey of Operator Algebras. Quantum Stop Times. Free Calculus. Continuous Kernel Processes in Quantum Probability.