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Analysis on Graphs and Its Applications
Edited by: Pavel Exner, Academy of Sciences, Rez near Prague, Czech Republic, Jonathan P. Keating, University of Bristol, Clifton, Bristol, United Kingdom, Peter Kuchment, Texas A & M University, College Station, TX, Toshikazu Sunada, Meiji University, Kawasaki, Japan, and Alexander Teplyaev, University of Connecticut, Storrs, CT
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Proceedings of Symposia in Pure Mathematics
2008; 705 pp; hardcover
Volume: 77
ISBN-10: 0-8218-4471-7
ISBN-13: 978-0-8218-4471-7
List Price: US$139
Member Price: US$111.20
Order Code: PSPUM/77
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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.

Readership

Graduate students and research mathematicians interested in various areas of analysis, dynamical systems, groups and their actions on graphs, mathematical physics.

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