Publications and communications of Laurent Loosveldt

Loosveldt, L. (September 2023). Multifractional Hermite processes: Definition and first properties. Stochastic Processes and Their Applications, 165 (C), 465-500. doi:10.1016/j.spa.2023.09.003

Esser, C., & Loosveldt, L. (2023). On the pointwise regularity of the Multifractional Brownian Motion and some extensions. Eprint/Working paper retrieved from https://orbi.uliege.be/2268/300090.

Loosveldt, L., & Nicolay, S. (01 July 2022). Some Prevalent Sets in Multifractal Analysis: How Smooth is Almost Every Function in $T_p^\alpha (x)$. Journal of Fourier Analysis and Applications, 28 (4). doi:10.1007/s00041-022-09951-5

Daw, L., & Loosveldt, L. (2022). Wavelet methods to study the pointwise regularity of the generalized Rosenblatt process. Electronic Journal of Probability, 27 (none). doi:10.1214/22-EJP878

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.

Loosveldt, L., & Nicolay, S. (09 August 2021). Generalized spaces of pointwise regularity: toward a general framework for the WLM. Nonlinearity, 34, 6561-6586. doi:10.1088/1361-6544/ac1724

Loosveldt, L. (2021). About some notions of regularity for functions. Unpublished doctoral thesis, ULiège - Université de Liège.
Jury: Nicolay, S. (Promotor), Schneiders, J.-P., Bastin, F., Frerick, L., Jaffard, S., Vindas, J., Wengenroth, J., ... Esser, C.

Loosveldt, L. (March 2021). Fonctions continues mais dérivables nulle part : de l’effroi au printemps de l’analyse multifractale. Bulletin de la Société Royale des Sciences de Liège, 90, 49-71. doi:10.25518/0037-9565.10071

Loosveldt, L., Wengenroth, J., & Frerick, L. (December 2020). Continuously Differentiable Functions on Compact Sets. Results in Mathematics, 75 (4). doi:10.1007/s00025-020-01303-3

Loosveldt, L. (10 November 2020). Sur les fonctions continûment dérivables sur un ensemble compact. Paper presented at Les journées du GDR Analyse multifractale, harmonique et probabilité.

Loosveldt, L., & Nicolay, S. (October 2020). Generalized T_u^p spaces: On the trail of Calderón and Zygmund. Dissertationes Mathematicae, 554. doi:10.4064/dm798-4-2020

Loosveldt, L. (31 August 2020). What are continuously differentiable functions on compact sets? Paper presented at International Conference on Generalized Functions, Ghent, Belgium.

Loosveldt, L. (18 February 2020). What are continuously differentiable functions on compact sets? Paper presented at Séminaire interne entre doctorants.

Loosveldt, L. (03 October 2019). Toward a general framework for the Wavelet leaders method. Paper presented at Journée 2019 du GdR Analyse Multifractale, Vielsalm, Belgium.

Loosveldt, L., & Nicolay, S. (October 2019). Some equivalent definitions of Besov spaces of generalized smoothness. Mathematische Nachrichten, 292 (10), 2262-2282. doi:10.1002/mana.201800111

Loosveldt, L. (14 June 2019). Sur quelques espaces fonctionnels permettant d'étudier la régularité ponctuelle. Paper presented at Séminaire Analyse Fonctionnelle Laboratoire Paul Painlevé Université de Lille, Lille, France.

Loosveldt, L. (10 May 2019). Generalized Besov spaces : from uniform characterizations to pointwise applications. Paper presented at FNRS Group - Functional Analysis May 09-10 2019, Liège, Belgium.

Loosveldt, L. (08 March 2019). Spaces of generalized smoothness. Paper presented at Séminaire Analyse Liège Trêves, Liège, Belgium.

Loosveldt, L., & Nicolay, S. (07 November 2018). Generalized regularity spaces : toward the detection of a logarithmic correction in multi fractal analysis. Paper presented at FNRS Contact Group "Wavelets and applications", Bruxelles, Belgium.

Loosveldt, L., & Nicolay, S. (19 September 2018). Generalized regularity spaces. Part II: on the trail of Calderon and Zygmund. Paper presented at Journées GdR Analyse Multifractale 2018, Domaine de Chalès, France.

Loosveldt, L., & Nicolay, S. (19 September 2018). Generalized Regularity spaces. Part I: A wavelet-based approach. Paper presented at Journées GdR Analyse Multifractale 2018, Domaine de Chalès, France.

Loosveldt, L. (20 November 2017). Un résultat d'interpolation concernant les espaces de Besov généralisés. Paper presented at Séminaire interne entre doctorants.