In order to understand the characteristics common to distributions which have both fractal and non-fractal scale regions in a unified framework, we introduce the concept of a typical scale. We employ a model of 2d gravity modified by the R2 term as a tool to understand such distributions through...

We study distributions which have both fractal and non-fractal scale regions by introducing a typical scale into a scale invariant system. As one of models in which distributions follow power law in the large-scale region and deviate further from the power law in the smaller-scale region, we...