Quantum Independent Increment Processes II : Structure of Quantum Lévy Processes, Classical Probability, and Physics
The present volume contains the following lectures: Random Walks on Finite Quantum Groups, Quantum Markov Processes and Applications in Physics and Classical and Free Infinite Divisibility and Lévy Processes.
Quantum Independent Increment Processes I : From Classical Probability to Quantum Stochastic Calculus
This volume is the first of two volumes containing the revised and completed notes lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics". The present first volume contains the following lectures: "Lévy Processes in Euclidean Spaces and Groups" by David Applebaum, "Locally Compact Quantum Groups" by Johan Kustermans, "Quantum Stochastic Analysis" by J. Martin Lindsay, and "Dilations, Cocycles and Product Systems" by B.V. Rajarama Bhat.
Quantum Dynamical Semigroups and Applications
This volume introduces the very basic concepts of semigroup dynamics of open quantum systems and reviews a variety of modern applications. The present book, originally published as Vol. 286 (1987) in Lecture in Physics, has been newly typeset, revised and corrected and also expanded to include a review on recent developments.


