Lauritz Streck

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math.CA2026

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

Pieter Allaart, Lauritz Streck

Given a self-similar set $I^$ 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 $I^$ …

math.CA2024

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 $I^½_{I^} » = law (\sum_{j \geq 0} I^¾_{j} I^»^{j})$ on $R$ , where $∣ I^»∣ < 1$ and the $I^¾_{j} \sim I^½$ are independen…