Jonathan keating (23 Ergebnisse)

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Hardcover. Zustand: Brand New. illustrated edition. 705 pages. 10.25x7.25x1.75 inches. In Stock.

Hardback. Zustand: New. This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wire systems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks. This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.…

Taschenbuch. Zustand: Neu. Supersymmetry and Trace Formulae | Chaos and Disorder | Igor V. Lerner (u. a.) | Taschenbuch | ix | Englisch | 2012 | Springer | EAN 9781461372127 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The motion of a particle in a random potential in two or more dimensions is chaotic, and the trajectories in deterministically chaotic systems are effectively random. It is therefore no surprise that there are links between the quantum properties of disordered systems and those of simple chaotic systems. The question is, how deep do the connec tions go And to what extent do the mathematical techniques designed to understand one problem lead to new insights into the other The canonical problem in the theory of disordered mesoscopic systems is that of a particle moving in a random array of scatterers. The aim is to calculate the statistical properties of, for example, the quantum energy levels, wavefunctions, and conductance fluctuations by averaging over different arrays; that is, by averaging over an ensemble of different realizations of the random potential. In some regimes, corresponding to energy scales that are large compared to the mean level spacing, this can be done using diagrammatic perturbation theory. In others, where the discreteness of the quantum spectrum becomes important, such an approach fails. A more powerful method, devel oped by Efetov, involves representing correlation functions in terms of a supersymmetric nonlinear sigma-model. This applies over a wider range of energy scales, covering both the perturbative and non-perturbative regimes. It was proved using this method that energy level correlations in disordered systems coincide with those of random matrix theory when the dimensionless conductance tends to infinity.…

Zustand: New. In English.

Zustand: New. Focuses on the problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. This book includes such topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wire systems, and carbon nanostructures. Editor(s): Exner, Pavel; Keating, Jonathan P. (University of Bristol and Hewlett-Packard Laboratories); Kuchment, Peter A.; Sunada, Toshikazu; Teplyaev, Alexander. Series: Proceedings of Symposia in Pure Mathematics. Num Pages: 689 pages, Illustrations. BIC Classification: PBV. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 260 x 182 x 42. Weight in Grams: 1426. . 2008. hardcover. . . . . Books ship from the US and Ireland.…

Hardback. Zustand: New. This book addresses a new interdisciplinary area emerging on the border between various areas of mathematics, physics, chemistry, nanotechnology, and computer science. The focus here is on problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. Also included are such diverse topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wire systems, carbon nano-structures, metal-insulator transition, computer vision, and communication networks. This volume contains a unique collection of expert reviews on the main directions in analysis on graphs (e.g., on discrete geometric analysis, zeta-functions on graphs, recently emerging connections between the geometric group theory and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide systems and modeling quantum graph systems with waveguides, control theory on graphs), as well as research articles.…

Zustand: New. Focuses on the problems and techniques related to graphs, quantum graphs, and fractals that parallel those from differential equations, differential geometry, or geometric analysis. This book includes such topics as number theory, geometric group theory, waveguide theory, quantum chaos, quantum wire systems, and carbon nanostructures. Editor(s): Exner, Pavel; Keating, Jonathan P. (University of Bristol and Hewlett-Packard Laboratories); Kuchment, Peter A.; Sunada, Toshikazu; Teplyaev, Alexander. Series: Proceedings of Symposia in Pure Mathematics. Num Pages: 689 pages, Illustrations. BIC Classification: PBV. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 260 x 182 x 42. Weight in Grams: 1426. . 2008. hardcover. . . . .…

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