Stochastic Processes and Operator Calculus on Quantum Groups by U. FranzStochastic Processes and Operator Calculus on Quantum Groups by U. Franz

Stochastic Processes and Operator Calculus on Quantum Groups

byU. Franz, René Schott

Paperback | December 15, 2010

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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.
Title:Stochastic Processes and Operator Calculus on Quantum GroupsFormat:PaperbackDimensions:238 pages, 9.25 × 6.1 × 0.03 inPublished:December 15, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048152909

ISBN - 13:9789048152902

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Table of Contents

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.