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Quantum Independent Increment Processes I: From Classical Probability to Quantum Stochastic Calculus de David Applebaum

Quantum Independent Increment Processes I: From Classical Probability to Quantum Stochastic Calculus: Lecture Notes in Mathematics, cartea 1865

Autor David Applebaum Editat de Michael Schuermann Autor B.V. Rajarama Bhat Editat de Uwe Franz Autor Johan Kustermans, J. Martin Lindsay
en Limba Engleză Paperback – 18 feb 2005
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.
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Specificații

ISBN-13: 9783540244066
ISBN-10: 3540244069
Pagini: 324
Ilustrații: XVIII, 299 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.48 kg
Ediția:2005
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

Lévy Processes in Euclidean Spaces and Groups.- Locally Compact Quantum Groups.- Quantum Stochastic Analysis - an Introduction.- Dilations, Cocycles and Product Systems.

Notă biografică

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 Lévy processes and stochastic flows on manifolds driven by Lévy type noise. Earlier this year he published a monograph on Lévy 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.