Hausdorff dimension of the set of extreme points of a self-similar set

Details Hausdorff dimension of the set of extreme points of a self-similar set Hausdorff dimension of the set of extreme points of a self-similar set

2002-02-21

arxiv.org/abs/math/0202215v1

Mathematics

Metric Geometry

10 pages, 3 figures, Latex2e

Scientific paper

If the system S of contracting similitudes on $ R^2$ satisfies open convex set condition, then the set F of extreme points of the convex hull $\tilde{K}$ of it's invariant self-similar set K has Hausdorff dimension 0 . If, additionally, all the rotation angles of the similitudes are commensurable with $\pi$, then the set F is finite and the convex hull $\tilde{K}$ is a convex polygon.

Affiliated with

Also associated with

No associations

Rating

Hausdorff dimension of the set of extreme points of a self-similar set does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hausdorff dimension of the set of extreme points of a self-similar set, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hausdorff dimension of the set of extreme points of a self-similar set will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-103387