Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Esser, Céline"'
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 fields, are obtained by a relaxation of the tensor-product structure that
Externí odkaz:
http://arxiv.org/abs/2406.03313
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 particular, we show that, at the opposite to what happens for Fourier
Externí odkaz:
http://arxiv.org/abs/2304.00811
Autor:
Esser, Céline, Loosveldt, Laurent
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 enjoy this property. We also consider various extensions of our result
Externí odkaz:
http://arxiv.org/abs/2302.06422
Autor:
Esser, Céline, Vedel, Béatrice
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 the construction of the Cantor set, we obtain random processes that dono
Externí odkaz:
http://arxiv.org/abs/2207.03733
Autor:
Esser, Céline, Loosveldt, Laurent
We study the H\"olderian regularity of Gaussian wavelets series and show that they display, almost surely, three types of points: slow, ordinary and rapid. In particular, this fact holds for the Fractional Brownian Motion. We also show that this prop
Externí odkaz:
http://arxiv.org/abs/2203.05472
We study dynamical notions lying between $\mathcal{U}$-frequent hypercyclicity and reiterative hypercyclicity by investigating weighted upper densities between the unweighted upper density and the upper Banach density. While chaos implies reiterative
Externí odkaz:
http://arxiv.org/abs/1907.05502
Autor:
Esser, Céline, Schindl, Gerhard
Publikováno v:
Res. Math. 75, no. 22, 2020
The Borel map $j^{\infty}$ takes germs at 0 of smooth functions to the sequence of iterated partial derivatives at 0. It is well known that the restriction of $j^{\infty}$ to the germs of quasianalytic ultradifferentiable classes which are strictly c
Externí odkaz:
http://arxiv.org/abs/1907.04452
Autor:
Esser, Céline, Schindl, Gerhard
Publikováno v:
Journal of Mathematical Analysis and Applications 466, no. 1, 2018, 986-1008
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 the germs of quasianalytic ultradifferentiable classes which are stri
Externí odkaz:
http://arxiv.org/abs/1803.04560
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 Fractional Brownian Motion (FBM) the Hurst parameter by a random variabl
Externí odkaz:
http://arxiv.org/abs/1803.02625
Autor:
Esser, Céline, Jaffard, Stéphane
We show the relevance of a multifractal-type analysis for pointwise convergence and divergence properties of wavelet series: Depending on the sequence space which the wavelet coefficients sequence belongs to, we obtain deterministic upper bounds for
Externí odkaz:
http://arxiv.org/abs/1701.02982