9783540488620 - quantum probability and spectral analysis of graphs (theoretical and mathematical physics) de hora, akihito; obata, nobuaki (13 resultados)
- Tapa dura
- Primera edición
Librería: killarneybooks, Inagh, CLARE, Irlandakillarneybooks
Contactar con el vendedorVendedor de 5 estrellasCondición: Usado - Muy bueno
EUR 69,30
Envío por EUR 33,70Se envía de Irlanda a Estados Unidos de AmericaCantidad disponible: 1 disponibles
Hardcover. Condición: Near Fine. 1st Edition. Hardcover, xviii+371 pages, NOT ex-library. Clean and bright throughout, unmarked text, no inscriptions/stamps, firmly bound. Minor shelfwear. -- An integration of quantum probability theory with spectral graph analysis, developing a powerful algebraic framework to investigate the as…ymptotic spectral behavior of large and growing graphs. This monograph builds upon von Neumann's foundational ideas, redefining random variables and measures in terms of self-adjoint operators and traces, and extends them into a structured analytic approach that reveals how quantum probabilistic tools can resolve longstanding questions in graph theory, operator algebras and mathematical physics. The core innovation is the method of quantum decomposition, which translates classical probability distributions into the language of interacting Fock spaces using orthogonal polynomials and three-term recurrence relations. By treating adjacency matrices as algebraic random variables, the authors develop a comprehensive method to derive spectral distributions and their limits in infinite graph sequences. This approach yields a unified framework in which quantum central limit theorems QCLTs take center stage, providing exact descriptions of asymptotic spectral distributions across families of distance-regular graphs. Chapters 1 & 2 establish foundational concepts in algebraic and quantum probability, including moment problems, Stieltjes transforms and Fock space constructions, before introducing the adjacency matrix as a noncommutative observable. The method is then applied across multiple graph classes. In homogeneous trees, the Wigner semicircle law and free Poisson distribution emerge naturally; in Hamming and Johnson graphs, Gaussian, exponential, geometric and Poisson limits are derived. Odd graphs lead to the two-sided Rayleigh distribution, demonstrating the framework's range. These results bridge classical and free probability in a concrete setting, offering a systematic toolkit for analyzing complex graph spectra. The book's discussion of quantum notions of independence (tensor, free, Boolean, monotone) is significant. By modeling these through graph operations such as the comb and star products, the authors provide new perspectives on the underlying algebraic structures and also practical methods for constructing graph models associated with different statistical behaviors. This graphical realization of independence deepens the connection between quantum probability and graph theory and sets the stage for novel applications in network science, random matrix theory and high-dimensional combinatorics. Chapters 9-12 pivot to the asymptotic representation theory of symmetric groups, using the tools developed to study Young diagrams under the Plancherel and Jack measures. The book offers a fresh derivation of the limit shape and Gaussian fluctuations in the Plancherel setting, connecting the spectral properties of adjacency matrices with Kerov's central limit theorem and its deformations. The authors also analyze the alpha-deformation via the Jack measure and demonstrate its implications for the Metropolis algorithm, revealing the practical relevance of their method in probabilistic sampling and statistical mechanics. By blending abstract algebraic constructions with detailed worked examples and asymptotic results, this volume addresses a broad range of contemporary mathematical problems. It contributes to ongoing discussions in noncommutative probability, spectral asymptotics, graph growth models and the analytic structure of symmetric group representations. Its accessible treatment makes it valuable for mathematicians and theoretical physicists working in quantum information, large-scale network analysis, random walks on groups or noncommutative harmonic analysis. It opens new avenues for applying quantum probabilistic methods to data science, particularly in contexts where complex network structures demand tools beyond classical probabilistic models.
- Tapa dura
Librería: California Books, Miami, FL, Estados Unidos de AmericaCalifornia Books
Contactar con el vendedorVendedor de 4 estrellasCondición: Nuevo
EUR 117,39
Gastos de envío gratisSe envía dentro de Estados Unidos de AmericaCantidad disponible: Más de 20 disponibles
Condición: New.
- Tapa dura
Librería: Ria Christie Collections, Uxbridge, Reino UnidoRia Christie Collections
Contactar con el vendedorVendedor de 5 estrellasCondición: Nuevo
EUR 116,61
Envío por EUR 14,00Se envía de Reino Unido a Estados Unidos de AmericaCantidad disponible: Más de 20 disponibles
Condición: New. In.
- Tapa dura
Librería: Books Puddle, New York, NY, Estados Unidos de AmericaBooks Puddle
Contactar con el vendedorVendedor de 4 estrellasCondición: Nuevo
EUR 147,81
Envío por EUR 3,45Se envía dentro de Estados Unidos de AmericaCantidad disponible: 4 disponibles
Condición: New. pp. 396.
- Tapa dura
Librería: BennettBooksLtd, Los Angeles, CA, Estados Unidos de AmericaBennettBooksLtd
Contactar con el vendedorVendedor de 5 estrellasCondición: Nuevo
EUR 162,67
Envío por EUR 6,00Se envía dentro de Estados Unidos de AmericaCantidad disponible: 1 disponibles
hardcover. Condición: New. In shrink wrap. Looks like an interesting title.
- Tapa dura
Librería: BennettBooksLtd, Los Angeles, CA, Estados Unidos de AmericaBennettBooksLtd
Contactar con el vendedorVendedor de 5 estrellasCondición: Nuevo
EUR 162,67
Envío por EUR 6,00Se envía dentro de Estados Unidos de AmericaCantidad disponible: 1 disponibles
hardcover. Condición: New. In shrink wrap. Looks like an interesting title.
- Tapa dura
Librería: Revaluation Books, Exeter, Reino UnidoRevaluation Books
Contactar con el vendedorVendedor de 5 estrellasCondición: Nuevo
EUR 155,26
Envío por EUR 14,61Se envía de Reino Unido a Estados Unidos de AmericaCantidad disponible: 2 disponibles
Hardcover. Condición: Brand New. 1st edition. 371 pages. 9.50x6.50x0.75 inches. In Stock.
- Tapa dura
Librería: AHA-BUCH GmbH, Einbeck, AlemaniaAHA-BUCH GmbH
Contactar con el vendedorVendedor de 5 estrellasCondición: Nuevo
EUR 114,36
Envío por EUR 63,79Se envía de Alemania a Estados Unidos de AmericaCantidad disponible: 1 disponibles
Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 us…e 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 branches, as well as biologists and economists. From the mathematical point of view, the use of sophisticated analytical toolstodrawconclusionsondiscretestructures,suchas,graphs,isparticularly appealing. The use of analysis, the science of the continuum, to discover n- trivial properties of discrete structures has an established tradition in number theory, but in graph theory it constitutes a relatively recent trend and there are few doubts that this trend will expand to an extent comparable to what we nd in the theory of numbers. Two main ideas of quantum probability form theunifying framework of the present book: 1. The quantum decomposition of a classical random variable.
- Tapa dura
- Impresión bajo demanda
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, AlemaniaBuchWeltWeit Ludwig Meier e.K.
Contactar con el vendedorVendedor de 5 estrellasCondición: Nuevo
EUR 106,99
Envío por EUR 23,00Se envía de Alemania a Estados Unidos de AmericaCantidad disponible: 2 disponibles
Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is the first book to comprehensively cover quantum probabilistic approaches to spectral analysis of graphs, an approach developed by the authors. The book functions as a concise introduction to quantum probability from an algebraic as…pect. Here readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. The exercises at the end of each chapter help to deepen understanding. 396 pp. Englisch.
- Tapa dura
- Impresión bajo demanda
Librería: moluna, Greven, Alemaniamoluna
Contactar con el vendedorVendedor de 5 estrellasCondición: Nuevo
EUR 92,27
Envío por EUR 48,99Se envía de Alemania a Estados Unidos de AmericaCantidad disponible: Más de 20 disponibles
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This is the first monograph written on the quantum probability approach to spectral analysis of graphs, a subject initiated by the authors many years agoQuantum Probability and Orthogonal Polynomials.- Adjacency Matri…x.- Distance-Regular Graph.- Homogen.
- Tapa dura
- Impresión bajo demanda
Librería: Majestic Books, Hounslow, Reino UnidoMajestic Books
Contactar con el vendedorVendedor de 4 estrellasCondición: Nuevo
EUR 152,30
Envío por EUR 7,60Se envía de Reino Unido a Estados Unidos de AmericaCantidad disponible: 4 disponibles
Condición: New. Print on Demand pp. 396 Illus.
- Tapa dura
- Impresión bajo demanda
Librería: Biblios, frankfurt am main, HESSE, AlemaniaBiblios
Contactar con el vendedorVendedor de 4 estrellasCondición: Nuevo
EUR 154,76
Envío por EUR 9,95Se envía de Alemania a Estados Unidos de AmericaCantidad disponible: 4 disponibles
Condición: New. PRINT ON DEMAND pp. 396.
- Tapa dura
- Impresión bajo demanda
Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemaniabuchversandmimpf2000
Contactar con el vendedorVendedor de 5 estrellasCondición: Nuevo
EUR 106,99
Envío por EUR 60,00Se envía de Alemania a Estados Unidos de AmericaCantidad disponible: 1 disponibles
Buch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This is the first book to comprehensively cover quantum probabilistic approach to spectral analysis of graphs. This approach was initiated by the authors and has become an interesting research area in applied mathematics and physics. The text…offers a concise introduction to quantum probability from an algebraic perspective. Topics discussed along the way include quantum probability and orthogonal polynomials, asymptotic spectral theory (quantum central limit theorems) for adjacency matrices, method of quantum decomposition, notions of independence and structure of graphs, and asymptotic representation theory of the symmetric groups. Readers will learn several powerful methods and techniques of wide applicability, recently developed under the name of quantum probability. End-of-chapter exercises promote deeper understanding.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 396 pp. Englisch.
