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Analysis on Graphs and Its Applications

Jonathan P Keating author Pavel Exner editor Toshikazu Sunada editor Peter A Kuchment editor Alexander Teplyaev editor

Format:Hardback

Publisher:American Mathematical Society

Published:1st Sep '08

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Analysis on Graphs and Its Applications cover

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.

ISBN: 9780821844717

Dimensions: unknown

Weight: 1426g

689 pages