@inproceedings{c794273cf00340e2a1af7d3bed20a358,
title = "The multiplicative golden mean shift has infinite Hausdorff measure",
abstract = "In an earlier work, joint with R. Kenyon, we computed the Hausdorff dimension of the {"}multiplicative golden mean shift{"} defined as the set of all reals in [0,1] whose binary expansion (xκ) satisfies xκx2κ = 0 for all κ ≥ 1. Here we show that this set has infinite Hausdorff measure in its dimension. A more precise result in terms of gauges in which the Hausdorff measure is infinite is also obtained.",
author = "Yuval Peres and Boris Solomyak",
note = "Publisher Copyright: {\textcopyright} Springer Science+Business Media New York 2013.; International Conference on Fractals and Related Fields, 2011 ; Conference date: 01-06-2011",
year = "2013",
doi = "10.1007/978-0-8176-8400-6_10",
language = "الإنجليزيّة",
isbn = "9780817683993",
series = "Trends in Mathematics",
pages = "193--212",
editor = "Julien Barral and St{\'e}phane Seuret",
booktitle = "Further Developments in Fractals and Related Fields",
}