Sets resilient to erosion

Details Sets resilient to erosion Sets resilient to erosion

2011-01-24

arxiv.org/abs/1101.4416v1

Mathematics

Metric Geometry

24 pages, 14 figures

Scientific paper

The erosion of a set in Euclidean space by a radius r>0 is the subset of X consisting of points at distance >/-r from the complement of X. A set is resilient to erosion if it is similar to its erosion by some positive radius. We give a somewhat surprising characterization of resilient sets, consisting in one part of simple geometric constraints on convex resilient sets, and, in another, a correspondence between nonconvex resilient sets and scale-invariant (e.g., 'exact fractal') sets.

Affiliated with

Also associated with

No associations

Rating

Sets resilient to erosion 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 Sets resilient to erosion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sets resilient to erosion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-635523