Lauritz Streck

collaborators

3 papers

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 $I^$ …

cs.LG2024

Low-degree learning and the metric entropy of polynomials

Alexandros Eskenazis, Paata Ivanisvili, Lauritz Streck

Let $F_{n, d}$ be the class of all functions $f : {- 1, 1}^{n} \to [- 1, 1]$ on the $n$ -dimensional discrete hypercube of degree at most $d$ . In the first part of this paper, we p…

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…