Negative dimensions: Theory, computation, and experiment

摘要: Negative dimensions in probabilistic fractal measures are analyzed using the concept of level-independent multiplier distributions. By suitably manipulating these distributions we compute positive and negative parts f(\ensuremath{\alpha}) function. It is demonstrated that method extracts function with exponentially less work, it more accurate than conventional box-counting methods. The utility this by applying to a binary cascade triangular distribution dissipation field fully developed turbulence.