4 citations · 6 across the 7 of their papers we have counts for
9 papers
Regularity properties of random wavelet series
Céline Esser, Stéphane Jaffard, Béatrice Vedel
We study the regularity properties of random wavelet series constructed by multiplying the coefficients of a deterministic wavelet series with unbounded I.I.D. random variables. In…
On the pointwise regularity of the Multifractional Brownian Motion and some extensions
Céline Esser, Laurent Loosveldt
We study the pointwise regularity of the Multifractional Brownian Motion and in particular, we get the existence of slow points. It shows that a non self-similar process can still…
Lacunary wavelet series on Cantor sets
Céline Esser, Béatrice Vedel
We provide a multifractal analysis of lacunary wavelet series on Cantor sets. Byintroducing a desynchronization between the scales of the wavelets and the scales of the steps of th…
Slow, ordinary and rapid points for Gaussian Wavelets Series and application to Fractional Brownian Motions
Céline Esser, Laurent Loosveldt
We study the Hölderian regularity of Gaussian wavelets series and show that they display, almost surely, three types of points: slow, ordinary and rapid. In particular, this fact h…
-Frequent hypercyclicity notions and related weighted densities
Romuald Ernst, Céline Esser, Quentin Menet
We study dynamical notions lying between -frequent hypercyclicity and reiterative hypercyclicity by investigating weighted upper densities between the unweighted upper…
On the construction of large Algebras not contained in the image of the Borel map
Céline Esser, Gerhard Schindl
The Borel map takes germs at 0 of smooth functions to the sequence of iterated partial derivatives at 0. It is well known that the restriction of to the g…