Stochastic Processes and Operator Calculus on Quantum Groups / Edition 1

Stochastic Processes and Operator Calculus on Quantum Groups / Edition 1

by U. Franz, Rene Schott
     
 

ISBN-10: 9048152909

ISBN-13: 9789048152902

Pub. Date: 12/09/2010

Publisher: Springer Netherlands

This book aims to present several new developments on shastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, shastic processes and diffusions, Appell polynomials and systems in connection with evolution equations.
Audience: This volume contains introductory material for graduate

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Overview

This book aims to present several new developments on shastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, shastic 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.

Product Details

ISBN-13:
9789048152902
Publisher:
Springer Netherlands
Publication date:
12/09/2010
Series:
Mathematics and Its Applications (closed) Series, #490
Edition description:
Softcover reprint of hardcover 1st ed. 1999
Pages:
232
Product dimensions:
6.14(w) x 9.21(h) x 0.51(d)

Table of Contents

Preface. 1. Introduction. 2. Preliminaries on Lie groups. 3. Hopf algebras, quantum groups and braided spaces. 4. Shastic 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.

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