Show simple item record

FieldValueLanguage
dc.contributor.authorCarnaffan, Sean
dc.date.accessioned2019-10-02
dc.date.available2019-10-02
dc.date.issued2019-06-30
dc.identifier.urihttp://hdl.handle.net/2123/21175
dc.description.abstractAnomalous diffusion processes are those whose variances deviate from the usual linear scaling with respect to time exhibited by regular Brownian motion. There are several physical mechanisms that can induce anomalous dynamics in a given test particle including sporadic trapping phenomena, long-range jumps and correlations between increments that can either inhibit or exacerbate their spread. Modeling such phenomena by means of stochastic processes and governing partial (integro)-differential equations has been an active field of research within the statistical physics community for many years. This thesis is a collection of four papers contributing novel research into this field, developing numerical methods for simulation and density estimation, analyzing population behaviours arising from stochastic models, examining information contained in trajectories to determine benchmarks for optimal statistical inference, and developing new models to describe anomalous diffusion and related behaviours.en_AU
dc.publisherUniversity of Sydneyen_AU
dc.publisherFaculty of Scienceen_AU
dc.publisherSchool of Mathematics and Statisticsen_AU
dc.rightsThe author retains copyright of this thesis. It may only be used for the purposes of research and study. It must not be used for any other purposes and may not be transmitted or shared with others without prior permission.en_AU
dc.subjectAnomalous Diffusionen_AU
dc.subjectStochastic Processesen_AU
dc.subjectStatistical Physicsen_AU
dc.titleAnomalous diffusion processes: Stochastic models and their propertiesen_AU
dc.typePhD Doctorateen_AU
dc.type.pubtypeDoctor of Philosophy Ph.D.en_AU
dc.description.disclaimerAccess is restricted to staff and students of the University of Sydney . UniKey credentials are required. Non university access may be obtained by visiting the University of Sydney Library.en_AU


Show simple item record

Associated file/s

Associated collections

Show simple item record

There are no previous versions of the item available.