Publications and communications of Laurent Loosveldt

Esser, C., & Loosveldt, L. (May 2024). On the pointwise regularity of the Multifractional Brownian Motion and some extensions. Theory of Probability and Mathematical Statistics, 110, 55-73.

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.

Loosveldt, L., & Tudor, C. A. (2024). Modified wavelet variation for the Hermite processes. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/314132.

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

Ayache, A., Hamonier, J., & Loosveldt, L. (2023). Wavelet-Type Expansion of Generalized Hermite Processes with rate of convergence. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/314168.

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 [Doctoral thesis, ULiège - Université de Liège]. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/256518

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 presentation]. 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 presentation]. International Conference on Generalized Functions, Ghent, Belgium.

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

Loosveldt, L. (03 October 2019). Toward a general framework for the Wavelet leaders method [Paper presentation]. 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 presentation]. 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 presentation]. FNRS Group - Functional Analysis May 09-10 2019, Liège, Belgium.

Loosveldt, L. (08 March 2019). Spaces of generalized smoothness [Paper presentation]. 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 presentation]. 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 presentation]. 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 presentation]. 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 presentation]. Séminaire interne entre doctorants.