arXiv Analytics

Sign in

arXiv:1911.12992 [math.DS]AbstractReferencesReviewsResources

Estimating the Hausdorff measure by recurrence

Ł. Pawelec

Published 2019-11-29Version 1

We show a new method of estimating the Hausdorff measure (of the proper dimension) of a fractal set from below. The method requires computing the subsequent closest return times of a point to itself.

Related articles: Most relevant | Search more
arXiv:0803.0724 [math.DS] (Published 2008-03-05)
Recurrence of the twisted planar random walk
arXiv:1701.04345 [math.DS] (Published 2017-01-16)
Over Recurrence for Mixing Transformations
arXiv:1502.05007 [math.DS] (Published 2015-02-17)
Resonant sets, diophantine conditions, and Hausdorff measures for translation surfaces