About The Book
It is a great pleasure for me that the new Springer Quantum Probability Programme isopened by the present monograph of Akihi to Hora and Nobuaki Obata. In fact this book epitomizes several distinctive features of contemporary quantum probability: First of all the use of specific 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 different 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 different from solid state physics to complex networks, from biology to telecommunications and operation research, binatorial optimization.
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