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Titlebook: Quantum Probability and Spectral Analysis of Graphs; Akihito Hora,Nobuaki Obata Book 2007 Springer-Verlag Berlin Heidelberg 2007 Graph The

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發(fā)表于 2025-3-21 16:09:33 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Quantum Probability and Spectral Analysis of Graphs
編輯Akihito Hora,Nobuaki Obata
視頻videohttp://file.papertrans.cn/782/781431/781431.mp4
概述This is the first monograph written on the quantum probability approach to spectral analysis of graphs, a subject initiated by the authors many years ago
叢書名稱Theoretical and Mathematical Physics
圖書封面Titlebook: Quantum Probability and Spectral Analysis of Graphs;  Akihito Hora,Nobuaki Obata Book 2007 Springer-Verlag Berlin Heidelberg 2007 Graph The
描述It is a great pleasure for me that the new Springer Quantum Probability ProgrammeisopenedbythepresentmonographofAkihitoHoraandNobuaki Obata. In fact this book epitomizes several distinctive features of contemporary quantum probability: First of all the use of speci?c quantum probabilistic techniques to bring original and quite non-trivial contributions to problems with an old history and on which a huge literature exists, both independent of quantum probability. Second, but not less important, the ability to create several bridges among di?erent branches of mathematics apparently far from one another such as the theory of orthogonal polynomials and graph theory, Nevanlinna’stheoryandthetheoryofrepresentationsofthesymmetricgroup. Moreover, the main topic of the present monograph, the asymptotic - haviour of large graphs, is acquiring a growing importance in a multiplicity of applications to several di?erent ?elds, from solid state physics to complex networks,frombiologytotelecommunicationsandoperationresearch,toc- binatorialoptimization.Thiscreatesapotentialaudienceforthepresentbook which goes far beyond the mathematicians and includes physicists, engineers of several di?erent branc
出版日期Book 2007
關鍵詞Graph Theory; Quantum Probability; Spectral Analysis; algebra; calculus; orthogonal polynomials
版次1
doihttps://doi.org/10.1007/3-540-48863-4
isbn_softcover978-3-642-08026-5
isbn_ebook978-3-540-48863-7Series ISSN 1864-5879 Series E-ISSN 1864-5887
issn_series 1864-5879
copyrightSpringer-Verlag Berlin Heidelberg 2007
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:51:37 | 只看該作者
Regular Graphs,namely, Γ(G) is invariant under the actions of quantum components. For asymptotics of spectral distribution, however, the invariance is too much to require and . is sufficient. This property will be formulated for a growing regular graph.
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The Symmetric Group and Young Diagrams, materials are standard though the analytic description of Young diagrams, which is essential for the study of asymptotic behaviour of a representation of .→ ∞, would be less familiar to the readers. This fantastic idea is due to Vershik and Kerov.
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Book 2007his book epitomizes several distinctive features of contemporary quantum probability: First of all the use of speci?c quantum probabilistic techniques to bring original and quite non-trivial contributions to problems with an old history and on which a huge literature exists, both independent of quan
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