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The exact measure functions of the images for a class of self-similar processes

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Wuhan University Journal of Natural Sciences

Abstract

Let {ie1-1} be a self-similar Markov process on (0,∞) with non-decreasing path. The exact Hausdorff and Packing measure functions of the imageX([0,t]) are obtained.

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Authors and Affiliations

  1. College of Mathematics and Computer Science, Wuhan University, 430072, Wuhan, China

    Huang Li-hu, Li Bing-zhang & Liu Lu-qin

Authors
  1. Huang Li-hu
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  2. Li Bing-zhang
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  3. Liu Lu-qin
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Additional information

Foundation item: Supported by the National Natural Science Foundation of China

Biography: HUANG Li-hu(1972-), male, Ph. D graduate student, research interest is in stochastic processes.

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Li-hu, H., Bing-zhang, L. & Lu-qin, L. The exact measure functions of the images for a class of self-similar processes. Wuhan Univ. J. Nat. Sci. 5, 001–006 (2000). https://doi.org/10.1007/BF02828297

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  • DOI: https://doi.org/10.1007/BF02828297

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