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Average symmetry, stability and ergodicity of multidimensional Cantor sets

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Il Nuovo Cimento B (1971-1996)

Summary

A theorem is presented connecting phase space stability and the average Hausdorff dimension of a backbone Cantor set at a critical state related to mixing and ergodicity.

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Author notes

  1. M. S. El Naschie

    Present address: Department of Applied Mathematics and Theoretical Physics, Cambridge, UK

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    1. M. S. El Naschie
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    El Naschie, M.S. Average symmetry, stability and ergodicity of multidimensional Cantor sets. Nuov Cim B 109, 149–157 (1994). https://doi.org/10.1007/BF02727425

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    • DOI: https://doi.org/10.1007/BF02727425

    PACS 02.30

    PACS 47.58

    PACS 47.52

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