Publications and communications of Esser, Céline

Ernst, R., Esser, C., & Menet, Q. (2021). U-Frequent hypercyclicity notions and related weighted densities. Israel Journal of Mathematics, 241, 817-848. doi:10.1007/s11856-021-2115-3

Esser, C., & Schindl, G. (2020). On the construction of large Algebra not contained in the image of the Borel map. Results in Mathematics, 75 (1). doi:10.1007/s00025-019-1146-0

Esser, C. (24 October 2018). Weighted U-frequent hypercyclicity. Paper presented at Workshop ANR Front.

Esser, C. (06 March 2018). Results of genericity concerning ultradifferentiable classes. Paper presented at Séminaire de Valladolid.

Ayache, A., Esser, C., & Hamonier, J. (2018). A new multifractional process with random exponent. Risk and Decision Analysis, 7, 5–29. doi:10.3233/RDA-180135

Charlier, E., Ernst, M., Esser, C., Haine, Y., Lacroix, A., Leroy, J., Raskin, J., & Swan, Y. (Eds.). (2018). MATh.en.JEANS. MATh.en.JEANS.be.

Esser, C., & Jaffard, S. (2018). Divergence of wavelet series: A multifractal analysis. Advances in Mathematics, 328, 928-958. doi:10.1016/j.aim.2018.02.010

Kleyntssens, T., Esser, C., & Nicolay, S. (2018). An algorithm for computing non-concave multifractal spectra using the Sν spaces. Communications in Nonlinear Science and Numerical Simulation, 56, 526-543. doi:10.1016/j.cnsns.2017.08.029

Esser, C., Kleyntssens, T., & Nicolay, S. (September 2017). A multifractal formalism for non-concave and non-increasing spectra: the leaders profile method. Applied and Computational Harmonic Analysis, 43 (2), 269-291. doi:10.1016/j.acha.2015.12.006

Ayache, A., & Esser, C. (2017). A useful result related with zeros of continuous compactly supported mother wavelets. International Journal of Wavelets, Multiresolution and Information Processing, 15 (5), 1750044. doi:10.1142/S0219691317500448

Esser, C., & Jaffard, S. (2017). Lineability in multifractal analysis. Eprint/Working paper retrieved from https://orbi.uliege.be/2268/221437.

Esser, C. (October 2016). Wavelet series representations for pathwise Young integrals. Paper presented at Workshop on Complex Analysis and Operators Theory, Valencia, Spain.

Esser, C. (22 September 2016). Propriétés multifractales de la divergence de séries d’ondelettes. Paper presented at GDR Analyse multifractale.

Esser, C. (07 June 2016). Multifractal analysis of the divergence of wavelet series. Paper presented at Second joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Logroño, Spain.

Esser, C. (24 May 2016). Représentation d'intégrales stochastiques via la base de Haar. Paper presented at Journées de Probabilités 2016, Le Mans, France.

Esser, C. (13 May 2016). Analyse multifractale de la vitesse de divergence de séries d'ondelettes. Paper presented at Séminaire de Vannes du LMBA.

Bastin, F., Esser, C., & Jaffard, S. (2016). Large deviation spectra based on wavelet leaders. Revista Matemática Iberoamericana, 32 (3), 859-890. doi:10.4171/rmi/901

Esser, C. (02 December 2015). Estimation de spectres de singularités par des méthodes de grandes déviations basées sur les ondelettes. Paper presented at Séminaire de Probabilités et Statistique de Lille.

Esser, C. (26 November 2015). Estimation de spectres de singularités par des techniques de grandes déviations basées sur les ondelettes. Paper presented at 15ème Forum des Jeunes Mathématicien-ne-s.

Esser, C. (06 November 2015). Analyse multifractale de la divergence de séries d'ondelettes. Paper presented at Séminaire d'analyse fonctionnelle de Lille.

Esser, C. (16 June 2015). Denjoy-Carleman classes and lineability. Paper presented at Workshop on Functional Analysis Valencia 2015 on the occasion of the 60th birthday of José Bonet, Valencia, Spain.

Esser, C. (2015). Utilisation d'un microscope mathématique pour étudier des phénomènes irréguliers. Paper presented at Finale Nationale du concours "Ma thèse en 180 secondes".

Bastin, F., Conejero, J. A., Esser, C., & Seoane Sepúlveda, J. B. (2015). Algebrability and nowhere Gevrey differentiability. Israel Journal of Mathematics, 205, 127–143. doi:10.1007/s11856-014-1104-1

Bastin, F., Esser, C., & Simons, L. (2015). Topology on new sequence spaces defined with wavelet leaders. Journal of Mathematical Analysis and Applications, 431 (1), 317-341. doi:10.1016/j.jmaa.2015.04.074

Esser, C. (2014). Regularity of functions: Genericity and multifractal analysis. Unpublished doctoral thesis, ULiège - Université de Liège.
Jury: Bastin, F. (Promotor), Schneiders, J.-P., Bonet, J., Jaffard, S., Seoane-Sepúlveda, J. B., Wengenroth, J., & Nicolay, S.

Esser, C., Kleyntssens, T., Nicolay, S., & Bastin, F. (25 March 2014). A new multifractal formalism based on wavelet leaders : detection of non concave and non increasing spectra (Part I). Paper presented at Fractal Geometry and Stochastics V, Tabarz, Germany.

Esser, C. (2014). Generic results in classes of ultradifferentiable functions. Journal of Mathematical Analysis and Applications, 413 (1), 378–391. doi:10.1016/j.jmaa.2013.11.067

Bastin, F., Esser, C., & Nicolay, S. (2012). Prevalence of ''nowhere analyticity''. Studia Mathematica, 210 (3). doi:10.4064/sm210-3-4

Esser, C. (2011). Les espaces de suites Snu: Propriétés topologiques, localement convexes et de prévalence. Unpublished master thesis, ULiège - Université de Liège.
Jury: Bastin, F. (Promotor), Hansoul, G., Nicolay, S., & Schneiders, J.-P.