Quantum Independent Increment Processes I by David Applebaum

Quantum Independent Increment Processes I by David Applebaum

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". This school was held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald during the period March 9 – 22, 2003, and supported by the Volkswagen Foundation. The school gave an introduction to current research on quantum independent increment processes aimed at graduate students and non-specialists working in classical and quantum probability, operator algebras, and mathematical 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.

The four lecturers are all established experts in their area. In the eighties, D. Applebaum was one of the pioneers of quantum stochastic calculus, where he introduced quantum stochastic integration based on Fermionic white noise. He now works on classical Levy processes and stochastic flows on manifolds driven by Levy type noise. Earlier this year he published a monograph on Levy processes with Cambridge University Press. J. Kustermans developed together with Stefan Vaes the definition of a locally compact quantum group which has now become generally accepted. J.M. Lindsay is one of the most prominent representatives of the Nottingham quantum probability school which was founded by Robin Hudson, the inventor (with K.R. Parthasarathy) of quantum stochastic calculus. B.V.R. Bhat is a student of K.R. Parthasarathy, one of the founders of quantum stochastic calculus. In 1997, B.V.R. Bhat received the INSA Medal for Young Scientist by the Indian National Science Academy, New Dehli.

SKU	Unavailable
ISBN 13	9783540244066
ISBN 10	3540244069
Title	Quantum Independent Increment Processes I
Author	David Applebaum
Series	Lecture Notes In Mathematics
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer
Year published	2005-02-18
Number of pages	299
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.