arXiv Analytics

Sign in

arXiv:2103.14018 [math.DS]AbstractReferencesReviewsResources

The scenery flow of self-similar measures with weak separation condition

Aleksi Pyörälä

Published 2021-03-25Version 1

We show that self-similar measures on $\mathbb{R}^d$ satisfying the weak separation condition are uniformly scaling. Our approach combines elementary ergodic theory with geometric analysis of the structure given by the weak separation condition.

Comments: 21 pages, 1 figure
Categories: math.DS
Subjects: 37A10, 28A80, 28D05
Related articles: Most relevant | Search more
arXiv:1710.02371 [math.DS] (Published 2017-10-06)
Dynamics of the scenery flow and conical density theorems
arXiv:1312.2567 [math.DS] (Published 2013-12-09, updated 2015-03-05)
Structure of distributions generated by the scenery flow
arXiv:1906.12164 [math.DS] (Published 2019-06-28)
Fourier decay for self-similar measures

Links

Toolbox