Abstract
The fractal dimensions of various types of intersection sets of random fractals are discussed. This helps a better understanding of issues concerning upper critical dimensionality, Flory approximations or universality of critical behaviour with respect to different excluded volume mechanisms. Diffusion on self-intersecting fractals, and on fractals with local bridges, is also considered in the light of the above discussion, and accurate results for the relative exponents, obtained from analysis of Monte-Carlo generated enumerations, are presented.
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