 | This article may be too technical for most readers to understand. (September 2024) |
In fractal geometry, the parabolic Hausdorff dimension is a restricted version of the genuine Hausdorff dimension.[1] Only parabolic cylinders, i. e. rectangles with a distinct non-linear scaling between time and space are permitted as covering sets. It is usefull to determine the Hausdorff dimension of self-similar stochastic processes, such as the geometric Brownian motion[2] or stable Lévy processes[3] plus Borel measurable drift function .
