Pieter Allaart

most citedThe

I^^{2}

-transformation with a hole at

0

: the general case

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2026

Equality of HÃ¶lder exponents for distribution functions of Gibbs measures

Pieter Allaart, Johannes Jaerisch

Pointwise HÃ¶lder exponents describe the degree of regularity of a function near a point. For a function $f : R \to R$ , a number $I^\pm > 0$ and a point $t_{0} \in R$ …

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.DS2026★ 1 cited

The $I^^{2}$ -transformation with a hole at $0$ : the general case

Pieter Allaart, Derong Kong

Given $I^^{2} > 1$ , let $T_{I^}^{2}$ be the $I^^{2}$ -transformation on the unit circle $[0, 1)$ , defined by $T_{I^}^{2} (x) = I^^{2} x - ⌊ I^^{2} x ⌋$ . For each $t \in [0, 1)$ let $K_{I^}^{2} (t)$ be the survivor set…

Equality of HÃ¶lder exponents for distribution functions of Gibbs measures

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

The I^2-transformation with a hole at 0: the general case

The $I^^{2}$ -transformation with a hole at $0$ : the general case