2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138579We study the size properties of a general model of fractal sets that are based on a tree-indexed family of random compacts and a tree-indexed Markov chain. These fractals may be regarded as a generalization of those resulting from the Moran-like deterministic or random recursive constructions considered by various authors. Among other applications, we consider various extensions of Mandelbrot's fractal percolation process.30 pagesProbability60D05; 60J10; 60J80; 28A80text