Publications

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Submitted for publication

1. C. Esser and B. Vedel, Lacunary wavelet series on Cantor sets, arXiv:2207.03733

2. C. Esser, L. Loosveldt and B. Vedel, Regularity of Weighted Tensorized Fractional Brownian Fields and associated function spaces, https://arxiv.org/abs/2412.03366

3. C. Esser and B. Vedel, Constructing self-similar subsets within the fractal support of Lacunary Wavelet Series for their multifractal analysis, arXiv:2501.17712

Published

1. C. Esser, C. Launay, L. Loosveldt and B. Vedel, Weighted tensorized fractional Brownian textures, In Proceedings of the 30ᵉ Colloque sur le traitement du signal et des images (GRETSI), Strasbourg, pp. 881–884. https://arxiv.org/abs/2406.03313

2. C. Esser, S. Jaffard and B. Vedel, Regularity properties of random wavelet series, Theory of Probability and Mathematical Statistics, 110, 31-53, 2024.

3. C. Esser and L. Loosveldt, On the pointwise regularity of the Multifractal Brownian Motion and some extensions,  Theory of Probability and Mathematical Statistics, 110, 55-73, 2024.

4. C. Esser and L. Loosveldt, Slow, ordinary and rapid points for Gaussian Wavelets Series and application to Fractional Brownian Motions, Latin American Journal of Probability and Mathematical Statistics, 19, 1479-1495, 2022.

5. R. Ernst, C. Esser and Q. Menet, U-frequent hypercyclicity notions and weighted densities, Israel Journal of Mathematics, 241 (2), 817-848, 2021.

6. C. Esser, G. Schindl, On the construction of large algebra not contained in the image of the Borel map, Results Math., 75 (1), Paper No. 22, 37 pp, 2020.

7. A. Ayache, C. Esser and T. Kleyntssens, Different possible behaviors of wavelet leaders of the Brownian motion, Statistics and Probability Letters, 150, 54–60, 2019.

8. C. Esser and G. Schindl, How far is the Borel map from being surjective in quasianalytic ultradifferentiable classes?, Journal of Mathematical Analysis and Applications, 466, 986–1008, 2018.

9. A. Ayache, C. Esser and Q. Peng, Almost sure approximations in Hölder norms of a general stochastic process defined by a Young integral, Latin American Journal of Probability and Mathematical Statistics, 15, 775–810, 2018.

10. A. Ayache, C. Esser and J. Hamonier, A new multifractional process with random exponent, Risk and Decision Analysis, 7, 5–29, 2018.

11. C. Esser and S. Jaffard, Divergence of wavelet series: A multifractal analysis, Advances in Mathematics, 328, 928–958, 2018.

12. T. Kleyntssens, C. Esser and S. Nicolay, An algorithm for computing non-concave multifractal spectra using the Snu spaces, Communications in Nonlinear Science and Numerical Simulation, 56, 526–543, 2018.

13. A. Ayache and C. Esser, A useful result related with zeros of continuous compactly supported mother wavelets, International Journal of Wavelets, Multiresolution and Information Processing, 15 (5), 1750044, 2017.

14. C. Esser, T. Kleyntssens and S. Nicolay, A multifractal formalism for non-concave and non-increasing spectra: the leaders profile method, Applied and Computational Harmonic Analysis, 43 (2), 269-291, 2017.

15. F. Bastin, C. Esser and S. Jaffard, Large deviation spectra based on wavelet leaders, Revista Matemática Iberoamericana, 32 (3), 859-890, 2016.

16. F. Bastin, C. Esser and L. Simons, Topology on new sequence spaces defined with wavelet leaders, Journal of Mathematical Analysis and Applications, 431 (1), 317-341, 2015.

17. F. Bastin, A. Conejero, C. Esser and J.B. Seoane-Sepúlveda, Algebrability and nowhere Gevrey differentiability, Israel Journal of Mathematics, 205 (1), 127-143, 2015.

18. C. Esser, Generic results in classes of ultradifferentiable functions, Journal of Mathematical Analysis and Applications, 413 (1), 378-391, 2014.

19. F. Bastin, C. Esser, S. Nicolay, Prevalence of "nowhere analyticity", Studia Math., 210 (3), 239-246, 2012.

Thesis and memoirs

1. Regularity of functions: Genericity and multifractal analysis, Ph.D. thesis, 2014.

2. Les espaces de suites Snu : Propriétés topologiques, localement convexes et de prévalence, Master thesis, 2011.