Multifractal Structure of Noncompactly Supported Measures

Document Type

Presentation

Presentation Date

7-2006

Abstract or Description

Many important definitions in the theory of multifractal measures, such as the Lq-spectrum and various dimensions, cannot be applied to noncompactly supported measures. We propose definitions that not only extend the original definitions on compactly supported measures, but also allow us to recover many important results that hold for compactly supported measures.

Additional Information

Special Session on Fractals and Tilings at Georgia Southern University

Sponsorship/Conference/Institution

Summer Conference on Topology and its Applications

Location

Statesboro, GA

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