A Theoretical Framework for the Calculation of Hausdorff Measure — Self-Similar Set Satisfying OSC

A Theoretical Framework for the Calculation of Hausdorff Measure — Self-Similar Set Satisfying OSC

Year:    2011

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 387–398

Abstract

A theoretical framework for the calculation of Hausdorff measure of self-similar sets satisfying OSC has been established.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.1007/s10496-011-0387-x

Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 387–398

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Haudorff measure open set condition.

  1. A MIXED MULTIFRACTAL ANALYSIS FOR QUASI-AHLFORS VECTOR-VALUED MEASURES

    MABROUK, ANOUAR BEN | FARHAT, ADEL

    Fractals, Vol. 30 (2022), Iss. 01

    https://doi.org/10.1142/S0218348X22400011 [Citations: 5]
  2. On the mixed multifractal densities and regularities with respect to gauges

    Ben, Mabrouk | Menceur, Mohamed | Selmi, Bilel

    Filomat, Vol. 36 (2022), Iss. 12 P.4225

    https://doi.org/10.2298/FIL2212225B [Citations: 1]
  3. MIXED MULTIFRACTAL DENSITIES FOR QUASI-AHLFORS VECTOR-VALUED MEASURES

    MABROUK, ANOUAR BEN | FARHAT, ADEL

    Fractals, Vol. 30 (2022), Iss. 01

    https://doi.org/10.1142/S0218348X22400035 [Citations: 3]
  4. A joint multifractal analysis of vector valued non Gibbs measures

    Menceur, Mohamed | Mabrouk, Anouar Ben

    Chaos, Solitons & Fractals, Vol. 126 (2019), Iss. P.203

    https://doi.org/10.1016/j.chaos.2019.05.010 [Citations: 13]