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

2021/03/25 by Pyörälä, Aleksi
#28D05 #Dynamical Systems (math.DS) #FOS: Mathematics #Primary 37A10 #Secondary 28A80

paper · doi:10.48550/arxiv.2103.14018

Abstract

We show that self-similar measures on 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.

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