| 书目名称 | White Noise on Bialgebras | | 编辑 | Michael Schürmann | | 视频video | | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | Stochastic processes with independent increments on a groupare generalized to the concept of "white noise" on a Hopfalgebra or bialgebra. The mainpurpose of the book is thecharacterization of these processes as solutions of quantumstochastic differential equations in the sense of R.L.Hudsonand K.R. Parthasarathy. The notes are a contributionto quantum probability but they are also related toclassical probability, quantum groups, and operatoralgebras. The Az ma martingales appear as examples ofwhitenoise on a Hopf algebra which is a deformation of theHeisenberggroup.The book will be of interest to probabilists and quantumprobabilists. Specialists in algebraic structures who arecurious about the role of their concepts in probablilitytheory aswell as quantum theory may find the bookinteresting. The reader should havesome knowledge offunctional analysis, operator algebras, and probabilitytheory. | | 出版日期 | Book 1993 | | 关键词 | Hopf Algebras; Martingale; Probability theory; Quantum Probability; Quantum Stochastic Calculus; Stochast | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0089237 | | isbn_softcover | 978-3-540-56627-4 | | isbn_ebook | 978-3-540-47614-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 1993 |
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发表于 2025-3-21 18:02:51
