K-distance sets, Falconer conjecture, and discrete analogs

Details K-distance sets, Falconer conjecture, and discrete analogs K-distance sets, Falconer conjecture, and discrete analogs

2003-03-18

arxiv.org/abs/math/0303227v1

Mathematics

Classical Analysis and ODEs

10 pages

Scientific paper

We prove a series of results on the size of distance sets corresponding to
sets in the Euclidean space. These distances are generated by bounded convex
sets and the results depend explicitly on the geometry of these sets. We also
use a diophantine mechanism to convert continuous results into distance set
estimates for discrete point sets.

Affiliated with

Also associated with

No associations

Rating

K-distance sets, Falconer conjecture, and discrete analogs 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 K-distance sets, Falconer conjecture, and discrete analogs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and K-distance sets, Falconer conjecture, and discrete analogs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-17603