Asymptotic distribution of MLEs of the parameters for a diffusion model with catastrophes and some related inference problems

In the paper "About a sculpture of St. George" (Journal of lnterdisciplinary Mathematics, No. 1 (1998), pp. 67-92) a very special fractal is discussed. Meanwhile the sculptor A. St. George has produced a new fractal. This monument was to see in an art-exhibition in Lissabon (Portugal). It turns out that this fractal has all the qualities of a so-called "physiological" fractal.