5 papers
Traces of functions in Besov spaces in Gibbs environment
Quentin Rible, Stéphane Seuret
This paper investigates the traces of functions belonging to the inhomogeneous Besov spaces B p,q , where is a product of capacities defined as powers of Gibbs measures.…
A non-vanishing property for tensor products of wavelets
Quentin Rible, Stéphane Seuret
We prove that, given a wavelet , it is possible to choose some multi-integers such that, for every $x=(x_1,...…
Hitting Probabilities and the Ekstr{ö}m-Persson conjecture
Esa Järvenpää, Markus Myllyoja, Stéphane Seuret
We consider the Ekst\''om-Persson conjecture concerning the value of the Hausdorff dimension of random covering sets formed by balls with radii and centres…
The multifractal nature of a parametrized family of von Koch functions
Zoltán Buczolich, Yann Demichel, Stéphane Seuret
In a famous paper published in 1904, Helge von Koch introduced the curve that still serves nowadays as an iconic representation of fractal shapes. In fact, von Koch's main goal was…
On the multivariate multifractal formalism: examples and counter-examples
Stéphane Seuret
In this article, we investigate the bivariate multifractal analysis of pairs of Borel probability measures. We prove that, contrarily to what happens in the univariate case, the na…