This work contains research and review papers written by participants in a six-month program of workshops, seminars, and tutorials held at the Isaac Newton Institute for Mathematical Sciences, Cambridge, in 2007. The papers cover a variety of problems relating to graphs that have a strongly analytic flavor, either as regards their formulation or the techniques used to approach them. Chapters are devoted to analysis on combinatorial graphs, quantum graphs, and fractals. Applications are considered in the final chapter. Contributors come from many branches of mathematics, as well as physics, computer sciences, and chemistry. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)
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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. Bestandsnummer des Verkäufers LU-9780821844717
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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. Bestandsnummer des Verkäufers V9780821844717
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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. Bestandsnummer des Verkäufers LU-9780821844717
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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. . . . . Bestandsnummer des Verkäufers V9780821844717
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