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math.PR2018
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…
math.FA2018
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…