Random fractals and tree-indexed Markov chains
Rev. Mat. Iberoamericana, Tome 25 (2009) no. 1, p. 1089-1126 / Harvested from Project Euclid
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We 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.
Publié le : 2009-06-15
Classification:  Hausdorff dimension,  random recursive constructions of fractals,  tree-indexed Markov chains,  branching processes in varying environment,  60D05,  28A80,  60J10,  60J80 
@article{1257258102,
     author = {Durand
, 
Arnaud},
     title = {Random fractals and tree-indexed Markov chains},
     journal = {Rev. Mat. Iberoamericana},
     volume = {25},
     number = {1},
     year = {2009},
     pages = { 1089-1126},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1257258102}
}

Durand
, 
Arnaud. Random fractals and tree-indexed Markov chains. Rev. Mat. Iberoamericana, Tome 25 (2009) no. 1, pp.  1089-1126. http://gdmltest.u-ga.fr/item/1257258102/