We compute the Hausdorff dimension of the \u201cmultiplicative golden mean shift\u201d defined as the set of all reals in [0, 1] whose binary expansion (xk) satisfies xkx2k = 0 for all k \u2265 1, and show that it is smaller than the Minkowski dimension<\/p>\n","protected":false},"excerpt":{"rendered":"
We compute the Hausdorff dimension of the \u201cmultiplicative golden mean shift\u201d defined as the set of all reals in [0, 1] whose binary expansion (xk) satisfies xkx2k = 0 for all k \u2265 1, and show that it is smaller than the Minkowski dimension<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"Elsevier","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"Comptes Rendus 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