4 papers
Algebraic structures featuring graph dimensions, Hölder regularity, and fractional differentiability
Céline Esser, Saeid Maghsoudi, Daniel L. RodrÃguez-Vidanes +1
We investigate the algebraic genericity of various families of continuous functions exhibiting extreme irregularity, focusing on fractal dimensions, Hölder regularity, and fractio…
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…
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…
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…