Year: 2014
Type: dissertation
Abstract: The analysis of large disordered complex networks has recently received enormous attention motivated by both academic and commercial interest.The most important results in this discipline have come from the analysis of stochastic models which mimic the growth and evolution of real networks as they change over time.The purpose of this thesis is to introduce various novel processes which dictate the development of a network on a small scale, and use techniques learned from statistical physics to derive the dynamical and structural properties of the network on the macroscopic scale.We introduce each model as a set of mechanisms determining how a network changes over a small period in time, from these rules we derive several topological properties of the network after many iterations, most notably the degree distribution.For financial support I thank both
Author: Ewan Colman
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2167471437