Analysis on Graphs and Its Applications

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  • Analysis on Graphs and Its Applications Book Detail

  • Author : Pavel Exner
  • Release Date : 2008
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 721
  • ISBN 13 : 0821844717
  • File Size : 52,52 MB

Analysis on Graphs and Its Applications by Pavel Exner PDF Summary

Book Description: 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.

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Analysis on Graphs and Its Applications

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A central object of this book is the discrete Laplace operator on finite and infinite graphs. The eigenvalues of the discrete Laplace operator have long been us

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This work addresses an interdisciplinary area emerging on the border between various areas of mathematics and other sciences. The focus here is on problems and

Graph Theory Applications

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This text offers an introduction to the theory of graphs and its application in engineering and science. The first part covers the main graph theoretic topics: