arXiv Analytics

Sign in

arXiv:1801.06468 [math.DS]AbstractReferencesReviewsResources

Projections of Gibbs measures on self-conformal sets in the plane

Catherine Bruce, Xiong Jin

Published 2018-01-19Version 1

We show that for Gibbs measures on self-conformal sets in the plane satisfying certain minimal assumptions, without requiring any separation condition, the Hausdorff dimension of orthogonal projections to one-dimensional subspaces is the same and is equal to the maximum possible value in all directions.

Comments: 13 pages, 0 figures
Categories: math.DS
Subjects: 28A80, 37F35
Related articles: Most relevant | Search more
arXiv:1204.1282 [math.DS] (Published 2012-04-05)
The Hausdorff dimension of the boundary of the immediate basin of infinity of McMullen maps
arXiv:0903.2216 [math.DS] (Published 2009-03-12, updated 2009-10-21)
The Hausdorff dimension of the projections of self-affine carpets
arXiv:math/0505099 [math.DS] (Published 2005-05-05, updated 2007-08-21)
Hausdorff dimension, its properties, and its surprises

Links

Toolbox