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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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