Dissertation > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Theory of functions > Real Analysis,Real Variable > Measure Theory

Self-similar set of Hausdorff measure and mass distribution principle and application

Author YinFengLi
Tutor HeXingGang
School Central China Normal University
Course Applied Mathematics
Keywords Hausdorff measure Self-similar set Open set condition Mass distribution principle
CLC O174.12
Type Master's thesis
Year 2011
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This paper summarizes the Open Set Condition for self-similar set of Hausdorff measure seven equivalent characterization , gives a detailed proof. Use Open Set Condition for the mass distribution of self-similar set of principles has been a method of calculating accurate Hausdorff Measure of Self-Similar Sets value method , and an example explains this method to obtain a class of exact Hausdorff measure of Cantor set value .

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