School of Mathematical and Statistical Sciences Faculty Publications and Presentations

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Let μ be a Borel probability measure generated by a hyperbolic recurrent iterated function system defined on a nonempty compact subset of Rk. We study the Hausdorff and the packing dimensions, and the quantization dimensions of μ with respect to the geometric mean error. The results establish the connections with various dimensions of the measure μ and generalize many known results about local dimensions and quantization dimensions of measures.


© 2020, Mathematica Josephina, Inc. Original published version available at

Publication Title

The Journal of Geometric Analysis



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Mathematics Commons



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