2 citations · 3 across the 7 of their papers we have counts for
8 papers
-estimation of generalized Thue-Morse trigonometric polynomials and ergodic maximization
Aihua Fan, Joerg Schmeling, Weixiao Shen
Given an integer and a real number , consider the generalized Thue-Morse sequence defined by , where $…
On the Fourier dimension and a modification
Fredrik Ekström, Tomas Persson, Jörg Schmeling
We give a sufficient condition for the Fourier dimension of a countable union of sets to equal the supremum of the Fourier dimensions of the sets in the union, and show by example…
On the asymptotics of the scenery flow
Magnus Aspenberg, Fredrik Ekström, Tomas Persson +1
Various notions of "zooming in" on measures exist in the literature and the scenery flow is one of them. It is of interest to describe the joint asymptotics of the scenery flows ge…
On measures resisting multifractal analysis
Jörg Schmeling, Stéphane Seuret
Any ergodic measure of a smooth map on a compact manifold has a multifractal spectrum with one point - the dimension of the measure itself - at the diagonal. We will construct exam…
On the dimension of iterated sumsets
Jörg Schmeling, Pablo Shmerkin
Let A be a subset of the real line. We study the fractal dimensions of the k-fold iterated sumsets kA, defined as kA = A+...+A (k times). We show that for any non-decreasing sequen…
The Hausdorff dimension of the set of dissipative points for a Cantor-like model set for singly cusped parabolic dynamics
J. Schmeling, B. O. Stratmann
In this paper we introduce and study a certain intricate Cantor-like set contained in unit interval. Our main result is to show that the set itself, as well as the set of d…