| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1892539 | Chaos, Solitons & Fractals | 2006 | 17 Pages |
Abstract
In this paper, we mainly research a multifractal formalism in a probability space.The first objective of this paper is to define a multifractal generalisation of the Hausdorff measure and the packing measure. We explore the properties of the multifractal Hausdorff measure and the multifractal packing measure in a probability space, and invesigate the relative results of multifractal spectra functions in a probability space. We also describe a sufficient condion and a necessary one of validity for the multifractal formalism in a probability space.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Yueling Li, Chaoshou Dai,