Université de Fribourg

Exact computation and approximation of stochastic and analytic parameters of generalized Sierpinski gaskets

Freiberg, Uta ; Thäle, Christoph

In: Methodology and Computing in Applied Probability, 2011, vol. 15, no. 3, p. 485-509

The interplay of fractal geometry, analysis and stochastics on the oneparameter sequence of self-similar generalized Sierpinski gaskets is studied. An improved algorithm for the exact computation of mean crossing times through the generating graphs SG(m) of generalized Sierpinski gaskets sg(m) for m up to 37 is presented and numerical approximations up to m = 100 are shown. Moreover, an...