Topological conditions on inhomogeneous fractals in Martin boundary theory and their algorithmic testing

Abstract

We want to consider Martin boundary theory applied to inhomogeneous fractals. This is under some conditions possible, but up to now it is not clear, how one can easily check, if a certain fractal fulfills those conditions. We want to simplify one condition and further develop a computer algorithm, which can check, if an attractor fulfills the condition.

arXiv comment24 pages, 15 figures (in total 31 plots), 2 listings