EXISTENCE OF AN EXACT SELF-AFFINE TIME FUNCTION WITH A RANDOM-WALK SCALING PROPERTY

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dc.contributor.authorBradley, J.eng
dc.date.accessioned2008-02-27T22:59:31Z
dc.date.available2008-02-27T22:59:31Z
dc.date.computerscience1999-05-27eng
dc.date.issued1991-07-01eng
dc.description.abstractAn exact self-affine time function, unlike a fractal in two-dimensional space, replicates exactly when scaled by differing ratios in the amplitude and time axes. A statistical self-affine time function replicates only statistically when scaled by differing ratios in the amplitude and time axis, the best known example being a random walk, where the time scaling factor is the square of the amplitude scaling factor. The existence of at least four exact self-affine time functions, called Elliot or E(t) functions, that allow for infinite number of exact replications of 12345abc structures, has been demonstrated. These E(t) functions are defined algorithmically and have no derivitive anywhere. One of these E(t) functions has the unexpected property of scaling like a random walk. This leads to speculation that it might be possible to construct a statistically self-affine E(t) function that would be a random walk forgery.eng
dc.description.notesWe are currently acquiring citations for the work deposited into this collection. We recognize the distribution rights of this item may have been assigned to another entity, other than the author(s) of the work.If you can provide the citation for this work or you think you own the distribution rights to this work please contact the Institutional Repository Administrator at digitize@ucalgary.caeng
dc.identifier.department1991-443-27eng
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/30436
dc.identifier.urihttp://hdl.handle.net/1880/46298
dc.language.isoEngeng
dc.publisher.corporateUniversity of Calgaryeng
dc.publisher.facultyScienceeng
dc.subjectComputer Scienceeng
dc.titleEXISTENCE OF AN EXACT SELF-AFFINE TIME FUNCTION WITH A RANDOM-WALK SCALING PROPERTYeng
dc.typeunknown
thesis.degree.disciplineComputer Scienceeng
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