English

A construction of singular overlapping asymmetric self-similar measures

Dynamical Systems 2018-10-31 v1

Abstract

In [8] we found a class of overlapping asymmetric self-similar measures on the real line, which are generically absolutely continuous with respect to the Lebesgue measure. Here we construct exceptional measures in this class being singular.

Keywords

Cite

@article{arxiv.1810.12622,
  title  = {A construction of singular overlapping asymmetric self-similar measures},
  author = {Jörg Neunhäuserer},
  journal= {arXiv preprint arXiv:1810.12622},
  year   = {2018}
}