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portada stochastic processes and operator calculus on quantum groups
Type
Physical Book
Author
Publisher
Year
2010
Language
English
Pages
232
Format
Paperback
Dimensions
23.4 x 15.6 x 1.3 cm
Weight
0.34 kg.
ISBN
9048152909
ISBN13
9789048152902
Categories

stochastic processes and operator calculus on quantum groups

U. Franz (Author) · René Schott (Author) · Springer · Paperback

stochastic processes and operator calculus on quantum groups - Franz, U. ; Schott, René

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Synopsis "stochastic processes and operator calculus on quantum groups"

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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