Thumbnail
Access Restriction
Open

Author Shmerkin, Pablo
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2008-07-23
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Dynamical Systems ♦ Mathematics - Classical Analysis and ODEs ♦ 37C45 ♦ 28A80 ♦ math
Abstract We present a complete proof of a theorem of C.G. Moreira. Under mild checkable conditions, the theorem asserts that the Hausdorff dimension of the arithmetic sum of two dynamically defined Cantor subsets of the real line, equals either the sum of the dimensions or 1, whichever is smaller.
Educational Use Research
Learning Resource Type Article
Page Count 15


Open content in new tab

   Open content in new tab