Random affine code tree fractals and Falconer–Sloan condition
Random affine code tree fractals and Falconer–Sloan condition
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 Falconer and Sloan [Continuity of subadditive pressure for self-affine sets. Real Anal. Exchange 34 (2009), 413–427]. …