Now showing items 1-4 of 4

    • Exceptions to the Multifractal Formalism for Discontinuous Measures 

      Riedi, Rudolf H.; Mandelbrot, Benoit (1998-01-15)
      In an earlier paper the authors introduced the <i>inverse measure</i> <i>µ</i><sup>â  </sup>(<i>dt</i>) of a given measure <i>µ</i>(<i>dt</i>) on [0,1] and presented the 'inversion formula' <i>f</i><sup>â  </sup>(<i>a</i>) ...
    • Inverse Measures, the Inversion formula, and Discontinuous Multifractals 

      Mandelbrot, Benoit; Riedi, Rudolf H. (1997-01-20)
      The present paper is part I of a series of three closely related papers in which the inverse measure m' of a given measure m on [0,1] is introduced. In the first case discussed in detail, both these measures are multifractal ...
    • Inversion Formula for Continuous Multifractals 

      Riedi, Rudolf H.; Mandelbrot, Benoit (1997-01-20)
      In a previous paper the authors introduced the inverse measure <i>µ</i><sup>â  </sup> of a probability measure <i>µ</i> on [0,1]. It was argued that the respective multifractal spectra are linked by the 'inversion formula' ...
    • Multifractal Formalism for Infinite Multinomial Measures 

      Riedi, Rudolf H.; Mandelbrot, Benoit (1995-01-20)
      There are strong reasons to believe that the multifractal spectrum of DLA shows anomalies which have been termed left sided. In order to show that this is compatible with strictly multiplicative structures Mandelbrot et ...