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- W2023013467 abstract "We calculate the almost sure dimension for a general class of random affine code tree fractals in $mathbb R^d$. The result is based on a probabilistic version of the Falconer-Sloan condition $C(s)$ introduced in cite{FS}. We verify that, in general, systems having a small number of maps do not satisfy condition $C(s)$. However, there exists a natural number $n$ such that for typical systems the family of all iterates up to level $n$ satisfies condition $C(s)$." @default.
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- W2023013467 date "2014-04-09" @default.
- W2023013467 modified "2023-09-27" @default.
- W2023013467 title "Random affine code tree fractals and Falconer-Sloan condition" @default.
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