Hora akihito (19 Ergebnisse)

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Paperback. Zustand: Brand New. 84 pages. 9.00x6.00x0.25 inches. In Stock.

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book treats ensembles of Young diagrams originating from group-theoretical contexts and investigates what statistical properties are observed there in a large-scale limit. The focus is mainly on analyzing the interesting phenomenon that specific curves appear in the appropriate scaling limit for the profiles of Young diagrams. This problem is regarded as an important origin of recent vital studies on harmonic analysis of huge symmetry structures. As mathematics, an asymptotic theory of representations is developed of the symmetric groups of degree n as n goes to infinity. The framework of rigorous limit theorems (especially the law of large numbers) in probability theory is employed as well as combinatorial analysis of group characters of symmetric groups and applications of Voiculescu's free probability. The central destination here is a clear description of the asymptotic behavior of rescaled profiles of Young diagrams in the Plancherel ensemble from both static and dynamic points of view.…

Hardcover. Zustand: 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 asymptotic 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.…

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Taschenbuch. Zustand: Neu. The Limit Shape Problem for Ensembles of Young Diagrams | Akihito Hora | Taschenbuch | ix | Englisch | 2016 | Springer Japan | EAN 9784431564850 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

Zustand: New. In English.

Zustand: New. In English.

Zustand: Used. pp. viii + 326 Illus.

Buch. Zustand: 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 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 theunifying framework of the present book: 1. The quantum decomposition of a classical random variable.…

Zustand: Used. pp. viii + 326.

Taschenbuch. Zustand: Neu. Quantum Probability and Spectral Analysis of Graphs | Akihito Hora (u. a.) | Taschenbuch | Theoretical and Mathematical Physics | xviii | Englisch | 2010 | Springer | EAN 9783642080265 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.…

Paperback. Zustand: Brand New. 371 pages. 9.00x6.00x0.89 inches. In Stock.

Hardcover. Zustand: Brand New. 1st edition. 371 pages. 9.50x6.50x0.75 inches. In Stock.

Hardcover. Zustand: Brand New. 326 pages. 9.00x6.00x1.00 inches. In Stock.

Gebunden. Zustand: New. The Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. This volume includes articles that deal with the limit behavior of systems with many degrees of freedom .

Zustand: New. In English.

Buch. Zustand: Neu. Neuware - The Fourth Conference on Infinite Dimensional Harmonic Analysis brought together experts in harmonic analysis, operator algebras and probability theory. Most of the articles deal with the limit behavior of systems with many degrees of freedom in the presence of symmetry constraints. This volume gives new directions in research bringing together probability theory and representation theory.…