Akihito Hora; Nobuaki Obata:Quantum Probability and Spectral Analysis of Graphs (Theoretical and Mathematical Physics)
- gebunden oder broschiert 2007, ISBN: 3540488626
[EAN: 9783540488620], Near Fine, [PU: Springer], MECHANICS, STOCHASTICS, ASYMPTOTIC REPRESENTATION THEORY OF SYMMETRIC GROUPS, STRUCTURE GRAPHS, Mathematics|Probability & Statistics|Gener… Mehr…
[EAN: 9783540488620], Near Fine, [PU: Springer], MECHANICS, STOCHASTICS, ASYMPTOTIC REPRESENTATION THEORY OF SYMMETRIC GROUPS, STRUCTURE GRAPHS, Mathematics|Probability & Statistics|General, Science|Physics, Science|Quantum Theory, Science|Mathematical Physics, Mathematics|Algebra|General, Mathematics|Functional Analysis, Science|Mechanics|General, Hardcover, xviii + 371 pages, NOT ex-library. Clean and bright throughout with unmarked text, free of inscriptions and stamps, firmly bound. Boards show a touch of gentle shelfwear. Published without a dust jacket. -- 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. -- Contents [Exercises & Notes in each chapter]: 1 Quantum Probability & Orthogonal Polynomials [Algebraic Probability Spaces; Representations; Interacting Fock Probability Spaces; Moment Problem & Orthogonal Polynomials; Quantum Decomposition; Accardi-Bozejko Formula; Fermion, Free & Boson Fock Spaces; Theory of Finite Jacobi Matrices; Stieltjes Transform & Continued Fractions] 2 Adjacency Matrices [Notions in Graph Theory; Adjacency Matrices & Adjacency Algebras; Vacuum & Deformed Vacuum States; Quantum Decomposition of an Adjacency Matrix] 3 Distance-Regular Graphs [Definition & Some Properties; Spectral Distributions in the Vacuum States; Finite Distance-Regular Graphs; Asymptotic Spectral Distributions; Coherent States in General] 4 Homogeneous Trees [Kesten Distribution; Asymptotic Spectral Distributions in the Vacuum State (Free CLT); Haagerup State; Free Poisson Distribution; Spidernets & Free Meixner Law; Markov Product of Positive Definite Kernels] 5 Hamming Graphs [Definition & Some Properties; Asymptotic Spectral Distributions in the Vacuum State; Poisson Distribution; Asymptotic Spectral Distributions in the Deformed Vacuum States] 6 Johnson Graphs [Definition & Some Properties; Asymptotic Spectral Distributions in the Vacuum State; Exponential Distribution & Laguerre Polynomials; Geometric Distribution & Meixner Polynomials; Asymptotic Spectral Distributions in the Deformed Vacuum States; Odd Graphs] 7 Regular Graphs [Integer Lattices; Growing Regular Graphs; Quantum Central Limit Theorems; Deformed Vacuum States; Examples & Remarks] 8 Comb Graphs & Star Graphs [Notions of Independence; Singleton Condition & Central Limit Theorems; Integer Lattices & Homogeneous Trees: Revisited; Monotone Trees & Monotone Central Limit Theorem; Comb Product; Comb Lattices; Star Product] 9 Symmetric Group & Young Diagrams [Young Diagrams; Irreducible Representations of the Symmetric Group; Jucys-Murphy Element; Young Diagram: Analytic Description; Basic Trace Formula; Plancherel Measures] 10 Limit Shape of Young Diagrams [Continuous Diagrams; Limit Shape of Young Diagrams; Modified Young Graph; Moments of the Jucys-Murphy Element; Limit Shape as a Weak Law of Large Numbers; More on Moments of the Jucys-Murphy Element; Limit Shape as a Strong Law of Large Numbers] 11 Central Limit Theorem for the Plancherel Measures of the Symmetric Groups [Kerov's Central Limit Theorem & Fluctuation of Young Diagrams; Use of Quantum Decomposition; Quantum Central Limit Theorem for Adjacency Matrices; Proof of QCLT for Adjacency Matrices; Polynomial Functions on Young Diagrams; Kerov's Polynomials; Other Extensions of Kerov's Central Limit Theorem; More Refinements of Fluctuation] 12 Deformation of Kerov's Central Limit Theorem [Jack Symmetric Functions; Jack Graphs; Deformed Young Diagrams; Jack Measures; Deformed Adjacency Matrices; Central Limit Theorem for the Jack Measures; Metropolis Algorithm & Hanlon's Theorem]; References; Index, Books<
|  | AbeBooks.dekillarneybooks, Inagh, CLARE, Ireland [64862402] [Rating: 5 (von 5)] NOT NEW BOOK. Versandkosten: EUR 13.60 Details... |
(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Quantum Probability and Spectral Analysis of Graphs by Akihito Hora Hardcover | Indigo Chapters
- neues BuchISBN: 9783540488620
It is a great pleasure for me that the new Springer Quantum Probability ProgrammeisopenedbythepresentmonographofAkihitoHoraandNobuaki Obata. In fact this book epitomizes several distincti… Mehr…
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 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 the unifying framework of the present book: 1. The quantum decomposition of a classical random variable. | Quantum Probability and Spectral Analysis of Graphs by Akihito Hora Hardcover | Indigo Chapters Kids' & Toys > Science & Nature > Science > Earth Sciences P10117, Akihito Hora<
| | Indigo.canew in stock. Versandkosten:zzgl. Versandkosten. Details... |
(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Akihito Hora & Nobuaki Obata:Quantum Probability and Spectral Analysis of Graphs
- gebunden oder broschiert ISBN: 9783540488620
It is a great pleasure for me that the new Springer Quantum Probability ProgrammeisopenedbythepresentmonographofAkihitoHoraandNobuaki Obata. In fact this book epitomizes several distincti… Mehr…
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 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 the unifying framework of the present book: 1. The quantum decomposition of a classical random variable. Bücher > Fremdsprachige Bücher > Englische Bücher 241 x 160 x 26 mm , Springer Berlin, Gebundene Ausgabe, Springer Berlin<
| | Orellfuessli.chNr. A1000998950. Versandkosten:Lieferzeiten außerhalb der Schweiz 3 bis 21 Werktage, , Versandfertig innert 6 - 9 Werktagen, zzgl. Versandkosten. (EUR 17.81) Details... |
(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Quantum Probability and Spectral Analysis of Graphs
- neues BuchISBN: 9783540488620
It is a great pleasure for me that the new Springer Quantum Probability ProgrammeisopenedbythepresentmonographofAkihitoHoraandNobuaki Obata. In fact this book epitomizes several distincti… Mehr…
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 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 the unifying framework of the present book: 1. The quantum decomposition of a classical random variable. Books > Science & Nature > Science > Earth Sciences List_Books, [PU: Springer, Berlin/Heidelberg]<
| | Indigo.canew in stock. Versandkosten:zzgl. Versandkosten. Details... |
(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
Akihito Hora; Nobuaki Obata:Quantum Probability and Spectral Analysis of Graphs
- gebunden oder broschiert 2007, ISBN: 9783540488620
Buch, Hardcover, 2007, [PU: Springer Berlin], Springer Berlin, 2007
| | lehmanns.deVersandkosten:Versand in 10-14 Tagen. (EUR 0.00) Details... |
(*) Derzeit vergriffen bedeutet, dass dieser Titel momentan auf keiner der angeschlossenen Plattform verfügbar ist.
