Lauritz Streck

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math.CA2025

The dimension of random subsets of self-similar sets generated by branching random walk

Pieter Allaart, Lauritz Streck

Given a self-similar set $Λ$ that is the attractor of an iterated function system (IFS) ${f_{1}, \dots, f_{N}}$ , consider the following method for constructing a random subset of $Λ$ :…

math.CA2023

On absolute continuity and maximal Garsia entropy for self-similar measures with algebraic contraction ratio

Lauritz Streck

In this paper, we consider the self-similar measure $ν_{λ} = law (\sum_{j \geq 0} ξ_{j} λ^{j})$ on $R$ , where $∣ λ ∣ < 1$ and the $ξ_{j} \sim ν$ are independent, iden…