Titlebook: Quantum Independent Increment Processes II; Structure of Quantum Michael Schüermann,Uwe Franz Book 2006 Springer-Verlag Berlin Heidelberg 2

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DEVIL

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Book 2006e following lectures: "Random Walks on Finite Quantum Groups" by Uwe Franz and Rolf Gohm, "Quantum Markov Processes and Applications in Physics" by Burkhard Kümmerer, Classical and Free Infinite Divisibility and Lévy Processes" by Ole E. Barndorff-Nielsen, Steen Thorbjornsen, and "Lévy Processes on Quantum Groups and Dual Groups" by Uwe Franz..

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Random Walks on Finite Quantum Groups,o avoid all technical difficulties we restrict ourselves to discrete time and finite quantum groups, i.e. finite-dimensional .-Hopf algebras, see Appendix A. More details can be found in the lectures of Kümmerer and Franz in this volume

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積極詞匯

https://doi.org/10.1007/11376637Finite; Lévy process; Lévy processes; Markov process; Stochastic calculus; algebra; calculus; compressions

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,Classical and Free Infinite Divisibility and Lévy Processes,The present lecture notes have grown out of a wish to understand whether certain important concepts of classical infinite divisibility and Lévy processes, such as selfdecomposability and the Lévy-It? decomposition, have natural and interesting analogues in free probability.

啞劇

,Lévy Processes on Quantum Groups and Dual Groups,Lévy processes play a fundamental r?le in probability theory and have many important applications in other areas such as statistics, financial mathematics, functional analysis or mathematical physics, as well, see [App05, BNT05] and the references given there.

冷峻

Quantum Markov Processes and Applications in Physics,In this course we discuss aspects of the theory of stationary quantum Markov processes.