Self-similar measures associated to {IFS} with non-uniform contraction ratios
Ngai, Sze-Man ; Wang, Yang
Asian J. Math., Tome 9 (2005) no. 2, p. 227-244 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this paper we study the absolute continuity of self-similar measures defined by iterated function systems (IFS) whose contraction ratios are not uniform. We introduce a transversality condition for a multi-parameter family of IFS and study the absolute continuity of the corresponding self-similar measures. Our study is a natural extension of the study of Bernoulli convolutions by Solomyak, Peres, et al.
Publié le : 2005-06-14
Classification:  28A15,  26A30,  26A46,  28A78,  28A80 
@article{1144070585,
     author = {Ngai, Sze-Man and Wang, Yang},
     title = {Self-similar measures associated to {IFS} with non-uniform contraction ratios},
     journal = {Asian J. Math.},
     volume = {9},
     number = {2},
     year = {2005},
     pages = { 227-244},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1144070585}
}

Ngai, Sze-Man; Wang, Yang. Self-similar measures associated to {IFS} with non-uniform contraction ratios. Asian J. Math., Tome 9 (2005) no. 2, pp.  227-244. http://gdmltest.u-ga.fr/item/1144070585/