书目名称 | Quantum Probability and Spectral Analysis of Graphs |
编辑 | Akihito Hora,Nobuaki Obata |
视频video | |
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 |
丛书名称 | Theoretical and Mathematical Physics |
图书封面 |  |
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 |
关键词 | Graph Theory; Quantum Probability; Spectral Analysis; algebra; calculus; orthogonal polynomials |
版次 | 1 |
doi | https://doi.org/10.1007/3-540-48863-4 |
isbn_softcover | 978-3-642-08026-5 |
isbn_ebook | 978-3-540-48863-7Series ISSN 1864-5879 Series E-ISSN 1864-5887 |
issn_series | 1864-5879 |
copyright | Springer-Verlag Berlin Heidelberg 2007 |