Quantum probability and spectral analysis of graphs / Akihito Hora

Public ISBD Titre : Quantum probability and spectral analysis of graphs Type de document : texte imprimé Auteurs : Akihito Hora, Auteur ; Nobuaki Obata, Auteur Editeur : Newyork;Paris;Milan;Berlin;Londres;Amsterdam [Usa;France;Italie;Allemagne;Engleterre;Hollande] : Springer Année de publication : 2007 Collection : Theoretical and mathematical physics Importance : XVIII-371 p. Présentation : ill. Format : 24 cm. ISBN/ISSN/EAN : 978-3-540-48862-0 Langues : Anglais Catégories : MATH:510 Generalites,dictionnaire,seminaire,proceeding Mots-clés : mathematical Physics  quantum theory  Graphs theory  spectral analysis  Spectral Theory (Mathematics)  quantum graphs Résumé : This is the first book to comprehensively cover the quantum probabilistic approach to spectral analysis of graphs. This approach has been developed by the authors and has become an interesting research area in applied mathematics and physics. The book can be used as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, which have been recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding. Among the topics discussed along the way are: quantum probability and orthogonal polynomials; asymptotic spectral theory (quantum central limit theorems) for adjacency matrices; the method of quantum decomposition; notions of independence and structure of graphs; and asymptotic representation theory of the symmetric groups. Quantum probability and spectral analysis of graphs [texte imprimé] / Akihito Hora, Auteur ; Nobuaki Obata, Auteur . - Newyork;Paris;Milan;Berlin;Londres;Amsterdam (Usa;France;Italie;Allemagne;Engleterre;Hollande) : Springer, 2007 . - XVIII-371 p. : ill. ; 24 cm.. - (Theoretical and mathematical physics) . ISBN : 978-3-540-48862-0 Langues : Anglais Catégories : MATH:510 Generalites,dictionnaire,seminaire,proceeding Mots-clés : mathematical Physics  quantum theory  Graphs theory  spectral analysis  Spectral Theory (Mathematics)  quantum graphs Résumé : This is the first book to comprehensively cover the quantum probabilistic approach to spectral analysis of graphs. This approach has been developed by the authors and has become an interesting research area in applied mathematics and physics. The book can be used as a concise introduction to quantum probability from an algebraic aspect. Here readers will learn several powerful methods and techniques of wide applicability, which have been recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding. Among the topics discussed along the way are: quantum probability and orthogonal polynomials; asymptotic spectral theory (quantum central limit theorems) for adjacency matrices; the method of quantum decomposition; notions of independence and structure of graphs; and asymptotic representation theory of the symmetric groups.

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Code-barres	Cote	Support	Localisation	Section	Disponibilité
510.333-1	510.333-1	Livre interne	BIBLIOTHEQUE CENTRALE	Mathématique (bc)	Disponible
530.1-60-1	530.1-60-1	Livre externe	BIBLIOTHEQUE DE FACULTE DES SCIENCES	Physique (SCI)	Disponible

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