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An analysis of spatial percolation structures using a network approach
Includes bibliographical references.
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| Main Author: | |
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613235219267584 |
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| access_status_str | Open Access |
| author | Fadul, Mohammed Altaj Mohammed |
| author2 | Witten, G |
| author_browse | Fadul, Mohammed Altaj Mohammed Witten, G |
| author_facet | Witten, G Fadul, Mohammed Altaj Mohammed |
| author_sort | Fadul, Mohammed Altaj Mohammed |
| collection | Thesis |
| description | Includes bibliographical references. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/4883 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:54.720Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/4883 An analysis of spatial percolation structures using a network approach Fadul, Mohammed Altaj Mohammed Witten, G Perrier, E Mathematics and Applied Mathematics Includes bibliographical references. 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. 2014-07-31T08:07:05Z 2014-07-31T08:07:05Z 2006 Master Thesis Masters MSc http://hdl.handle.net/11427/4883 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Fadul, Mohammed Altaj Mohammed An analysis of spatial percolation structures using a network approach |
| thesis_degree_str | Master's |
| title | An analysis of spatial percolation structures using a network approach |
| title_full | An analysis of spatial percolation structures using a network approach |
| title_fullStr | An analysis of spatial percolation structures using a network approach |
| title_full_unstemmed | An analysis of spatial percolation structures using a network approach |
| title_short | An analysis of spatial percolation structures using a network approach |
| title_sort | analysis of spatial percolation structures using a network approach |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/4883 |
| work_keys_str_mv | AT fadulmohammedaltajmohammed ananalysisofspatialpercolationstructuresusinganetworkapproach AT fadulmohammedaltajmohammed analysisofspatialpercolationstructuresusinganetworkapproach |