Article ID Journal Published Year Pages File Type
1888814 Chaos, Solitons & Fractals 2016 9 Pages PDF
Abstract

In this paper, we consider some classes of general Cantor sets satisfying (αk)-(αk)- regular condition and obtain necessary and sufficient conditions to characterize the fatness and thinness of the sets for doubling measures under suitable conditions. It is applied to classify some kinds of Cantor-type sets.

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Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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Fatness and thinness of some general Cantor sets for doubling measures
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