4 papers
-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…
A new Multifractional Process with Random Exponent
Antoine Ayache, Céline Esser, Julien Hamonier
A first type of Multifractional Process with Random Exponent (MPRE) was constructed several years ago in (Ayache, Taqqu, 2005) by replacing in a wavelet series representation of Fr…
How far is the Borel map from being surjective in quasianalytic ultradifferentiable classes?
Céline Esser, Gerhard Schindl
The Borel map takes germs at 0 of smooth functions to the sequence of iterated partial derivatives at 0. In the literature, it is well known that the restriction of this mapping to…