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A Sort Of Fractals Generated From Quasi-affine Maps And The Simulation Of The Fractor Constructures In Finacial Markets

Posted on:2011-09-15Degree:MasterType:Thesis
Country:ChinaCandidate:Y C XiangFull Text:PDF
GTID:2120360305491777Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
This paper constructs a sort of fractals by using the quasi-affine maps in R2, and obtains an algorithm of the Hausdorff dimension of the boundary for the fractals by discussing its structures and the properties;On the other hand,finds out a new method to fix the vertical scaling factors of the fractal interpolation functions, and simulates the fractol structures in finacial markets by computer.
Keywords/Search Tags:fractals, fractal interpolation function, quasi-affine maps, Hausdorff dimension, vertical scaling factor
PDF Full Text Request
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