Introduction

Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 2039)

Abstract

The first aim of this monograph is to introduce into the asymptotic analysis of graphlike spaces (also called graph-like manifolds, tubular branched manifolds, graph neighbourhoods, fat graphs, network-shaped domains, inflated or d-dimensional graphs) in the 0-thickness limit and the convergence of associated operators and related objects. The second aim is to provide necessary tools from functional analysis and operator theory to treat such convergence problems, where operators act in different spaces, and where spaces are coupled according to a graph.

Keywords

Heat Kernel Essential Spectrum Quantum Graph Vertex Neighbourhood Complex Dilation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Mathematical Sciences Science LaboratoriesDurham UniversityDurhamUK

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