Random affine code tree fractals: Hausdorff and affinity dimensions and pressure

Jarvenpaa, E; Jarvenpaa, M; Wu, M; Wu, W

Wu, W (reprint author), Univ Oulu, Math, POB 3000, Oulu 90014, Finland.; Wu, W (reprint author), South China Univ Technol, Sch Math, Guangzhou 510641, Peoples R China.

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2017; 162 (2): 367

Abstract

We prove that for random affine code tree fractals the affinity dimension is almost surely equal to the unique zero of the pressure function. As a con......

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