Abstract
The Dobiński set is an exceptional set for a certain infinite product identity, whose points are characterized as having exceedingly good approximations by dyadic rationals. We study the Hausdorff dimension and logarithmic measure of by means of the mass transference principle and by the construction of certain appropriate Cantor-like sets, termed willow sets, contained in .
Citation
Alberto Dayan. José L. Fernández. María J. González. "Hausdorff measures, dyadic approximations, and the Dobiński set." Illinois J. Math. 65 (2) 515 - 531, June 2021. https://doi.org/10.1215/00192082-9082098
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