16 citations · 61 across the 26 of their papers we have counts for
4 papers · 1 filter
Quantitative recurrence properties in conformal iterated function systems
Stéphane Seuret, Baowei Wang
Let be a countable index set and be a conformal iterated function system on satisfying the open set condition. Denote by the attractor of .…
Multifractal Analysis of functions on Heisenberg and Carnot Groups
Stéphane Seuret, François Vigneron
In this article, we investigate the pointwise behaviors of functions on the Heisenberg group. We find wavelet characterizations for the global and local Hölder exponents. Then we p…
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…
Measures and functions with prescribed homogeneous multifractal spectrum
Zoltán Buczolich, Stéphane Seuret
In this paper we construct measures supported in with prescribed multifractal spectrum. Moreover, these measures are homogeneously multifractal (HM, for short), in the sens…