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