##
**Local dimensions of measures of finite type.**
*(English)*
Zbl 1396.28011

The authors studied the local dimension theory of a class of equicontractive, self-similar measures of finite type. The notation of finite type was introduced by S.-M. Ngai and Y. Wang [J. Lond. Math. Soc., II. Ser. 63, No. 3, 655–672 (2001; Zbl 1013.28008)], which is weaker than the open set condition but stronger than the weak open set condition. Many measures satisfy such a property, for example, Bernoulli convolutions with contraction factor equal to the reciprocal of a Pisot number (such as the golden ratio) and a class of Gauss-like self-similar measures.

Reviewer: Lulu Fang (Guangzhou)

### MSC:

28A80 | Fractals |

28C10 | Set functions and measures on topological groups or semigroups, Haar measures, invariant measures |

11K16 | Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. |

### Citations:

Zbl 1013.28008### References:

[1] | pp. |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.