Box-counting algorithm for 2-dimensional fractal stochastic processes

DARÍO G. PÉREZ; LUCIANO ZUNINO; MARIO GARAVAGLIA

San Carlos de Bariloche, Argentina

Workshop; IX Latin American Workshop on Nonlinear Phenomena (LAWNP’05); 2005

We analyze the fractal (box-counting) dimension of synthetic stochastic fractal processes, i.e., fractional Brownian processes. We determine the box-counting dimension by means of two independent algorithms. The first method calculates the Hurst exponent of each axis, within the fractional Brownian model, and then the fractal dimension is determined applying a theoretical result. For the second one a new algorithm is proposed to estimate it directly. These results are compared.