• Corpus ID: 222125110

Self-similar measures associated to a homogeneous system of three maps

@article{Rapaport2020SelfsimilarMA,
  title={Self-similar measures associated to a homogeneous system of three maps},
  author={Ariel Rapaport and P'eter P'al Varj'u},
  journal={arXiv: Dynamical Systems},
  year={2020}
}
We study the dimension of self-similar measures associated to a homogeneous iterated function system of three contracting similarities on $\bf R$ and other more general IFS's. We extend some of the theory recently developed for Bernoulli convolutions to this setting. In the setting of three maps a new phenomenon occurs, which has been highlighted by recent examples of Baker, and Barany, Kaenmaki. To overcome the difficulties stemming form these, we develop novel techniques, including an… 

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