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

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书目名称Quantum Independent Increment Processes II
副标题Structure of Quantum
编辑Michael Schüermann,Uwe Franz
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Quantum Independent Increment Processes II; Structure of Quantum Michael Schüermann,Uwe Franz Book 2006 Springer-Verlag Berlin Heidelberg 2
描述.This is the second of two volumes containing the revised and completed notes of lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics". This school was held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald in March, 2003, and supported by the Volkswagen Foundation. The school gave an introduction to current research on quantum independent increment processes aimed at graduate students and non-specialists working in classical and quantum probability, operator algebras, and mathematical physics....The present second volume contains the 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..
出版日期Book 2006
关键词Finite; Lévy process; Lévy processes; Markov process; Stochastic calculus; algebra; calculus; compressions
版次1
doihttps://doi.org/10.1007/11376637
isbn_softcover978-3-540-24407-3
isbn_ebook978-3-540-32385-3Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2006
The information of publication is updating

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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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https://doi.org/10.1007/11376637Finite; Lévy process; Lévy processes; Markov process; Stochastic calculus; algebra; calculus; compressions
发表于 2025-3-22 21:32:54 | 显示全部楼层
,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-Itô decomposition, have natural and interesting analogues in free probability.
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,Lévy Processes on Quantum Groups and Dual Groups,Lévy processes play a fundamental rôle 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.
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Quantum Markov Processes and Applications in Physics,In this course we discuss aspects of the theory of stationary quantum Markov processes.
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