Stochastic Processes and Operator Calculus on Quantum Groups: 490 (Mathematics and Its Applications) - Softcover

Franz, U.; Schott, René

 
9789048152902: Stochastic Processes and Operator Calculus on Quantum Groups: 490 (Mathematics and Its Applications)
Softcover
ISBN 10: 9048152909 ISBN 13: 9789048152902
Verlag: Springer, 2010

Inhaltsangabe

This book aims to present several new developments on stochastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations.
Audience: This volume contains introductory material for graduate students who are new to the field, as well as more advanced material for specialists in probability theory, algebraic structures, representation theory, mathematical physics and theoretical physics.

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Reseña del editor

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.

Reseña del editor

This book aims to present several new developments on stochastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations.
Audience: This volume contains introductory material for graduate students who are new to the field, as well as more advanced material for specialists in probability theory, algebraic structures, representation theory, mathematical physics and theoretical physics.

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Verlag
Springer
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
9048152909
ISBN 13 
9789048152902
Einband
Tapa blanda
Anzahl der Seiten
240
Kontakt zum Hersteller
Nicht verfügbar
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Weitere beliebte Ausgaben desselben Titels

9780792358831: Stochastic Processes and Operator Calculus on Quantum Groups: 490 (Mathematics and Its Applications)

Vorgestellte Ausgabe

ISBN 10:  079235883X ISBN 13:  9780792358831
Verlag: Springer, 1999
Hardcover