Publications and communications of Céline Esser

Esser, C., Jaffard, S., & Vedel, B. (In press). Regularity properties of random wavelet series. Theory of Probability and Mathematical Statistics.

Esser, C., & Loosveldt, L. (In press). On the pointwise regularity of the Multifractional Brownian Motion and some extensions. Theory of Probability and Mathematical Statistics.

Esser, C., Launay, C., Loosveldt, L., & Vedel, B. (2024). Weighted tensorized fractional Brownian textures. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/314309.

Esser, C., & Loosveldt, L. (2022). Slow, ordinary and rapid points for Gaussian Wavelets Series and application to Fractional Brownian Motions. ALEA: Latin American Journal of Probability and Mathematical Statistics, 19, 1471–1495.

Esser, C., & Vedel, B. (2022). Counter-examples to multifractal formalisms. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/293191.

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. (26 April 2019). L’image de l’application de Borel dans les classes quasianalytiques [Paper presentation]. Séminaire d'Analyse Fonctionnelle de Lille.

Ayache, A., Esser, C., & Kleyntssens, T. (2019). Different possible behaviors of wavelet leaders of the Brownian motion. Statistics and Probability Letters, 150, 54-60. doi:10.1016/j.spl.2019.02.003

Esser, C. (24 October 2018). Weighted U-frequent hypercyclicity [Paper presentation]. Workshop ANR Front.

Esser, C. (06 March 2018). Results of genericity concerning ultradifferentiable classes [Paper presentation]. 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

Ayache, A., Esser, C., & Qidi, P. (2018). Almost sure approximations in Hölder norms of a general stochastic process defined by a Young integral. ALEA: Latin American Journal of Probability and Mathematical Statistics. doi:10.30757/ALEA.v15-29

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

Esser, C., & Schindl, G. (2018). How far is the Borel map from being surjective in quasianalytic ultradifferentiable classes? Journal of Mathematical Analysis and Applications. doi:10.1016/j.jmaa.2018.06.037

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. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/221437.

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

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

Esser, C. (07 June 2016). Multifractal analysis of the divergence of wavelet series [Paper presentation]. 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 presentation]. Journées de Probabilités 2016, Le Mans, France.

Esser, C. (13 May 2016). Analyse multifractale de la vitesse de divergence de séries d'ondelettes [Paper presentation]. 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 presentation]. 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 presentation]. 15ème Forum des Jeunes Mathématicien-ne-s.

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

Esser, C. (16 June 2015). Denjoy-Carleman classes and lineability [Paper presentation]. 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 presentation]. 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 [Doctoral thesis, ULiège - Université de Liège]. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/174112

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 presentation]. 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 [Master’s dissertation, ULiège - Université de Liège]. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/112050