登入選單
返回Google圖書搜尋
Analysis on Graphs and Its Applications
Pavel Exner
其他書名
Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, January 8-June 29, 2007
出版American Mathematical Soc.
主題Mathematics / Graphic Methods
ISBN08218685439780821868546
URLhttp://books.google.com.hk/books?id=rM6KY3XXBS4C&hl=&source=gbs_api
註釋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 wiresystems, 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.