Continuity of the Hausdorff Dimension for Sub - Self - Conformal Sets ( Communicated

Abstract

Self-similar sets and self-conformal sets have been studied extensively. Recently, Falconer introduced sub-self-similar sets for a generalization of self-similar sets, and obtained the Hausdorff dimension and Box dimension for these sets if the open set condition (OSC) is satisfied. Chen and Xiong proved the continuity of the Hausdorff dimension for sub… (More)

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