3 papers
math.CA2025
Constructing self-similar subsets within the fractal support of Lacunary Wavelet Series for their multifractal analysis
Céline Esser, Béatrice Vedel
Given a fractal whose Hausdorff dimension matches with the upper-box dimension, we propose a new method which consists in selecting inside some subsets…
math.PR2024
Regularity of Weighted Tensorized Fractional Brownian Fields and associated function spaces
Céline Esser, Laurent Loosveldt, Béatrice Vedel
We investigate a new class of self-similar fractional Brownian fields, called Weighted Tensorized Fractional Brownian Fields (WTFBS). These fields, introduced in the companion pape…
math.PR2024
Weighted tensorized fractional Brownian textures
Céline Esser, Claire Launay, Laurent Loosveldt +1
This paper presents a new model of textures, obtained as realizations of a new class of fractional Brownian fields. These fields, called weighted tensorized fractional Brownian fie…