{"id":{"repo_id":"cape-town","oai_identifier":"oai:open.uct.ac.za:11427/10320"},"canonical_url":"https://search.dev.ndltd.org/etd/cape-town/oai:open.uct.ac.za:11427/10320","repository":{"repo_id":"cape-town","name":"University of Cape Town","base_url":"https://open.uct.ac.za/oai/request"},"display":{"title":"Probabilistic methods applied to fluctuating systems","abstract":"In this work the hierarchical structure of three diverse stochastic systems is studied by investigating the probability densities of their scale-dependent measures across various scales. In the first system studied, velocity increments are used to investigate the order of complexity and disorder of wind turbulence. The second system investigates the disorders of skeletal muscles and the nervous system by considering the fluctuation of electric potentials of skeletal muscles. The last system studied is a non-physical system where price increments are used to classify the financial markets in terms of predictability of price changes and market efficiency. In all three stochastic systems a Fokker-Planck equation is used to describe how the scale-dependent measure is correlated across nested scales.","abstract_html":"In this work the hierarchical structure of three diverse stochastic systems is studied by investigating the probability densities of their scale-dependent measures across various scales. In the first system studied, velocity increments are used to investigate the order of complexity and disorder of wind turbulence. The second system investigates the disorders of skeletal muscles and the nervous system by considering the fluctuation of electric potentials of skeletal muscles. The last system studied is a non-physical system where price increments are used to classify the financial markets in terms of predictability of price changes and market efficiency. In all three stochastic systems a Fokker-Planck equation is used to describe how the scale-dependent measure is correlated across nested scales.","abstract_has_math":false,"creators":["Corker, Lloyd A"],"institution":"Department of Physics","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Britton, David T","Härting, Margit"],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012","date_published":"2012","updated_at":"2026-07-22T22:23:14Z","subjects":[],"languages":["eng"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/11427/10320","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Britton, David T","Härting, Margit"]},{"key":"dc:creator","label":"Author","values":["Corker, Lloyd A"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2014-12-27T19:55:19Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2014-12-27T19:55:19Z"]},{"key":"dc:date.issued","label":"Date","values":["2012"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Department of Physics"]},{"key":"dc:publisher.institution","label":"Dc Publisher Institution","values":["University of Cape Town"]},{"key":"dc:type","label":"Dc Type","values":["Doctoral Thesis"]},{"key":"dc:type.qualificationlevel","label":"Dc Type Qualificationlevel","values":["Doctoral"]},{"key":"dc:type.qualificationname","label":"Dc Type Qualificationname","values":["PhD"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["eng"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/11427/10320"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["In this work the hierarchical structure of three diverse stochastic systems is studied by investigating the probability densities of their scale-dependent measures across various scales. In the first system studied, velocity increments are used to investigate the order of complexity and disorder of wind turbulence. The second system investigates the disorders of skeletal muscles and the nervous system by considering the fluctuation of electric potentials of skeletal muscles. The last system studied is a non-physical system where price increments are used to classify the financial markets in terms of predictability of price changes and market efficiency. In all three stochastic systems a Fokker-Planck equation is used to describe how the scale-dependent measure is correlated across nested scales."]},{"key":"dc:title","label":"Title","values":["Probabilistic methods applied to fluctuating systems"]}]}],"canonical_facts":{"dc:contributor.advisor":["Britton, David T","Härting, Margit"],"dc:creator":["Corker, Lloyd A"],"dc:date.accessioned":["2014-12-27T19:55:19Z"],"dc:date.available":["2014-12-27T19:55:19Z"],"dc:date.issued":["2012"],"dc:description.abstract":["In this work the hierarchical structure of three diverse stochastic systems is studied by investigating the probability densities of their scale-dependent measures across various scales. In the first system studied, velocity increments are used to investigate the order of complexity and disorder of wind turbulence. The second system investigates the disorders of skeletal muscles and the nervous system by considering the fluctuation of electric potentials of skeletal muscles. The last system studied is a non-physical system where price increments are used to classify the financial markets in terms of predictability of price changes and market efficiency. In all three stochastic systems a Fokker-Planck equation is used to describe how the scale-dependent measure is correlated across nested scales."],"dc:identifier.uri":["http://hdl.handle.net/11427/10320"],"dc:language.iso":["eng"],"dc:publisher.department":["Department of Physics"],"dc:publisher.institution":["University of Cape Town"],"dc:title":["Probabilistic methods applied to fluctuating systems"],"dc:type":["Doctoral Thesis"],"dc:type.qualificationlevel":["Doctoral"],"dc:type.qualificationname":["PhD"]},"updated_at":"2026-07-22T22:23:14Z"}