An analysis of spatial percolation structures using a network approach

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dc.contributor.advisorWitten, Gen_ZA
dc.contributor.advisorPerrier, Een_ZA
dc.contributor.authorFadul, Mohammed Altaj Mohammeden_ZA
dc.date.accessioned2014-07-31T08:07:05Z
dc.date.available2014-07-31T08:07:05Z
dc.date.issued2006en_ZA
dc.descriptionIncludes bibliographical references.
dc.description.abstractIn this thesis we analyse several spatial structures, built from percolation models, by means of an approach used so far in the field of network science. In the first chapter we summarize the major network concepts and characterizations that have been obtained as regards the statistical properties of several data sets or theoretical models, We also give a brief introduction to percolation theory and its applications, adding details in two particular cases where mathematical results are available. In the second chapter we then study one particular application of percolation theory to the modelling of distribution and species abundance at different seales. We mainly focus on the way percolation theory was used to compare two diffcrcnt spatial patterns, particularly the random and the aggrergated distribution.en_ZA
dc.identifier.apacitationFadul, M. A. M. (2006). <i>An analysis of spatial percolation structures using a network approach</i>. (Thesis). University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/4883en_ZA
dc.identifier.chicagocitationFadul, Mohammed Altaj Mohammed. <i>"An analysis of spatial percolation structures using a network approach."</i> Thesis., University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2006. http://hdl.handle.net/11427/4883en_ZA
dc.identifier.citationFadul, M. 2006. An analysis of spatial percolation structures using a network approach. University of Cape Town.en_ZA
dc.identifier.ris TY - Thesis / Dissertation AU - Fadul, Mohammed Altaj Mohammed AB - In this thesis we analyse several spatial structures, built from percolation models, by means of an approach used so far in the field of network science. In the first chapter we summarize the major network concepts and characterizations that have been obtained as regards the statistical properties of several data sets or theoretical models, We also give a brief introduction to percolation theory and its applications, adding details in two particular cases where mathematical results are available. In the second chapter we then study one particular application of percolation theory to the modelling of distribution and species abundance at different seales. We mainly focus on the way percolation theory was used to compare two diffcrcnt spatial patterns, particularly the random and the aggrergated distribution. DA - 2006 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PB - University of Cape Town PY - 2006 T1 - An analysis of spatial percolation structures using a network approach TI - An analysis of spatial percolation structures using a network approach UR - http://hdl.handle.net/11427/4883 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/4883
dc.identifier.vancouvercitationFadul MAM. An analysis of spatial percolation structures using a network approach. [Thesis]. University of Cape Town ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 2006 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/4883en_ZA
dc.language.isoengen_ZA
dc.publisher.departmentDepartment of Mathematics and Applied Mathematicsen_ZA
dc.publisher.facultyFaculty of Scienceen_ZA
dc.publisher.institutionUniversity of Cape Town
dc.subject.otherMathematics and Applied Mathematicsen_ZA
dc.titleAn analysis of spatial percolation structures using a network approachen_ZA
dc.typeMaster Thesis
dc.type.qualificationlevelMasters
dc.type.qualificationnameMScen_ZA
uct.type.filetypeText
uct.type.filetypeImage
uct.type.publicationResearchen_ZA
uct.type.resourceThesisen_ZA
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