Stochastic Processes and Operator Calculus on Quantum Groups: 490 - Rilegato

Franz, Uwe; Schott, Rene

 
9780792358831: Stochastic Processes and Operator Calculus on Quantum Groups: 490
Rilegato
ISBN 10: 079235883X ISBN 13: 9780792358831
Casa editrice: Kluwer Academic Pub, 1999

Sinossi

Quantum groups have been investigated rather deeply in mathematical physics over the last decade. Among the most prominent contributions in this area let us mention the works of V.G. Drinfeld, S.L. Woronowicz, S. Majid. Prob ability the­ ory on quantum groups has developed in several directions (see works of P. Biane, RL. Hudson and K.R Partasarathy, P.A. Meyer, M. Schürmann, D. Voiculescu). The aim of this book is to present several new aspects related to quantum groups: operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Much of the ma­ terial is scattered throughout available literature, however, we have nowhere found in accessible form all of this material collected. The presentation of representation theory in connection with Appell systems is original with the authors. Stochastic processes (example: Brownian motion, diffusion processes, Levy processes) are in­ vestigated and several examples are presented. As a text the work is intended to be accessible to graduate students and researchers not specialised in quantum prob ability. We would like to acknowledge our colleagues P. Feinsilver, R Lenzceswki, D.

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Contenuti

Preface. 1. Introduction. 2. Preliminaries on Lie groups. 3. Hopf algebras, quantum groups and braided spaces. 4. Stochastic Processes on quantum groups. 5. Markov Structure of quantum Lévy Processes. 6. Diffusions on braided spaces. 7. Evolution equations and Lévy processes on quantum groups. 8. Gauss Laws in the sense of Bernstein on quantum groups. 9. Phase retrieval for probability distributions on quantum groups. 10. Limit theorems on quantum groups. Bibliography. Index.

Product Description

Book by Franz U Schott Ren

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Editore
Kluwer Academic Pub
Data di pubblicazione
1999
Lingua
Inglese
ISBN 10 
079235883X
ISBN 13 
9780792358831
Rilegatura
Copertina rigida
Numero di pagine
227
Contatto del produttore
non disponibile
Persona responsabile
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Hamburg
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Altre edizioni note dello stesso titolo

9789048152902: Stochastic Processes and Operator Calculus on Quantum Groups: 490

Edizione in evidenza

ISBN 10:  9048152909 ISBN 13:  9789048152902
Casa editrice: Springer, 2010
Brossura