Lauritz Streck

collaborators

4 papers

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.NT2023

On equidistribution of polynomial sequences in quotients of $P S L_{2} (R)$

Lauritz Streck

In this paper, it is shown that for every lattice $Γ \subset P S L_{2} (R)$ there exists a $c > 0$ such that for any $0 \leq γ < c$ the sequence $p h (n^{1 + γ})$ equidistributes for a…

math.NT2023

Non-Concentration of Primes in $Γ\ P S L_{2} (R)$

Lauritz Streck

This paper generalizes the result of Sarnak and Ubis \cite{sarnak-ubis} about non-concentration of primes in horocycle orbits on $P S L_{2} (Z) \ P S L_{2} (R)$ to…

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…

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

On equidistribution of polynomial sequences in quotients of PSL2​(R)

Non-Concentration of Primes in Γ\PSL2​(R)

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

On equidistribution of polynomial sequences in quotients of $P S L_{2} (R)$

Non-Concentration of Primes in $Γ\ P S L_{2} (R)$