Barral, Julien; Seuret, Stéphane The Frisch-Parisi conjecture. I: Prescribed multifractal behavior, and a partial solution. (English. French summary) Zbl 07693670 J. Math. Pures Appl. (9) 175, 76-108 (2023). Reviewer: Yuang-Ling Ye (Guangzhou) MSC: 28A78 28A80 30H40 42C40 46A04 PDFBibTeX XMLCite \textit{J. Barral} and \textit{S. Seuret}, J. Math. Pures Appl. (9) 175, 76--108 (2023; Zbl 07693670) Full Text: DOI
Ben Slimane, Mourad; Ben Abid, Moez; Ben Omrane, Ines; Halouani, Borhen Multivariate multifractal formalism for simultaneous pointwise \((T_{u_i}^{p_i})_i\) regularities. (English) Zbl 1507.42028 Appl. Anal. 101, No. 16, 5824-5849 (2022). MSC: 42C40 94A12 26A16 26B35 46E35 26A21 PDFBibTeX XMLCite \textit{M. Ben Slimane} et al., Appl. Anal. 101, No. 16, 5824--5849 (2022; Zbl 1507.42028) Full Text: DOI
Loosveldt, L.; Nicolay, S. Some prevalent sets in multifractal analysis: how smooth is almost every function in \(T_p^\alpha(x)\). (English) Zbl 1493.42058 J. Fourier Anal. Appl. 28, No. 4, Paper No. 58, 22 p. (2022). MSC: 42C40 26A16 46E35 94A12 PDFBibTeX XMLCite \textit{L. Loosveldt} and \textit{S. Nicolay}, J. Fourier Anal. Appl. 28, No. 4, Paper No. 58, 22 p. (2022; Zbl 1493.42058) Full Text: DOI
Ben Abid, Moez; Ben Slimane, Mourad; Ben Omrane, Ines; Turkawi, Maamoun Multivariate wavelet leaders Rényi dimension and multifractal formalism in mixed Besov spaces. (English) Zbl 1493.42051 Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 2, Article ID 2150047, 32 p. (2022). Reviewer: K. Parthasarathy (Chennai) MSC: 42C40 26A16 26A21 26B35 46E30 PDFBibTeX XMLCite \textit{M. Ben Abid} et al., Int. J. Wavelets Multiresolut. Inf. Process. 20, No. 2, Article ID 2150047, 32 p. (2022; Zbl 1493.42051) Full Text: DOI
Ben Abid, M.; Omrane, I. Ben; Slimane, M. Ben; Turkawi, M. Dimension prints for continuous functions on the unit square. (English) Zbl 1499.26049 Acta Math. Hung. 165, No. 1, 78-99 (2021). Reviewer: Włodzimierz Ślęzak (Bydgoszcz) MSC: 26B35 28A78 28A80 46A35 65D07 PDFBibTeX XMLCite \textit{M. Ben Abid} et al., Acta Math. Hung. 165, No. 1, 78--99 (2021; Zbl 1499.26049) Full Text: DOI
Schäfer, Martin; Ullrich, Tino; Vedel, Béatrice Hyperbolic wavelet analysis of classical isotropic and anisotropic Besov-Sobolev spaces. (English) Zbl 1467.42058 J. Fourier Anal. Appl. 27, No. 3, Paper No. 51, 55 p. (2021). MSC: 42C40 46E35 42B25 41A25 65T60 PDFBibTeX XMLCite \textit{M. Schäfer} et al., J. Fourier Anal. Appl. 27, No. 3, Paper No. 51, 55 p. (2021; Zbl 1467.42058) Full Text: DOI arXiv
Seuret, Stéphane A survey on prescription of multifractal behavior. (English) Zbl 1470.11211 Freiberg, Uta (ed.) et al., Fractal geometry and stochastics VI. Selected papers of the 6th conference, Bad Herrenalb, Germany, September 30 – October 6, 2018. Cham: Birkhäuser. Prog. Probab. 76, 47-70 (2021). Reviewer: Symon Serbenyuk (Kyïv) MSC: 11K55 26A21 28A80 42C40 46E35 PDFBibTeX XMLCite \textit{S. Seuret}, Prog. Probab. 76, 47--70 (2021; Zbl 1470.11211) Full Text: DOI arXiv
Slimane, Mourad Ben; Omrane, Ines Ben; Abid, Moez Ben; Halouani, Borhen; Alshormani, Farouq Directional multifractal analysis in the \(L^p\) setting. (English) Zbl 1436.42041 J. Funct. Spaces 2019, Article ID 1691903, 12 p. (2019). MSC: 42C40 42B35 46E35 28A78 28A80 PDFBibTeX XMLCite \textit{M. B. Slimane} et al., J. Funct. Spaces 2019, Article ID 1691903, 12 p. (2019; Zbl 1436.42041) Full Text: DOI
Ben Abid, Moez; Ben Slimane, Mourad; Ben Omrane, Ines; Halouani, Borhen On the Baire generic validity of the \(t\)-multifractal formalism in Besov and Sobolev spaces. (English) Zbl 1440.46026 J. Funct. Spaces 2019, Article ID 4358261, 14 p. (2019). MSC: 46E35 PDFBibTeX XMLCite \textit{M. Ben Abid} et al., J. Funct. Spaces 2019, Article ID 4358261, 14 p. (2019; Zbl 1440.46026) Full Text: DOI
Bastin, F.; Esser, C.; Simons, L. Topology on new sequence spaces defined with wavelet leaders. (English) Zbl 1342.46023 J. Math. Anal. Appl. 431, No. 1, 317-341 (2015). Reviewer: Rüdiger W. Braun (Düsseldorf) MSC: 46E10 42C40 PDFBibTeX XMLCite \textit{F. Bastin} et al., J. Math. Anal. Appl. 431, No. 1, 317--341 (2015; Zbl 1342.46023) Full Text: DOI Link
Abry, Patrice; Clausel, Marianne; Jaffard, Stéphane; Roux, Stéphane G.; Vedel, Béatrice The hyperbolic wavelet transform: an efficient tool for multifractal analysis of anisotropic fields. (English) Zbl 1336.46028 Rev. Mat. Iberoam. 31, No. 1, 313-348 (2015). MSC: 46E35 42C40 PDFBibTeX XMLCite \textit{P. Abry} et al., Rev. Mat. Iberoam. 31, No. 1, 313--348 (2015; Zbl 1336.46028) Full Text: DOI arXiv
Pont, Oriol; Turiel, Antonio; Pérez-Vicente, Conrad J. On optimal wavelet bases for the realization of microcanonical cascade processes. (English) Zbl 1209.42027 Int. J. Wavelets Multiresolut. Inf. Process. 9, No. 1, 35-61 (2011). MSC: 42C40 28A80 60G18 82C80 46N55 PDFBibTeX XMLCite \textit{O. Pont} et al., Int. J. Wavelets Multiresolut. Inf. Process. 9, No. 1, 35--61 (2011; Zbl 1209.42027) Full Text: DOI arXiv
Fraysse, A. Regularity criteria for almost every function in Sobolev spaces. (English) Zbl 1205.26021 J. Funct. Anal. 258, No. 6, 1806-1821 (2010). Reviewer: Marcia Federson (São Paulo) MSC: 26B35 46E35 PDFBibTeX XMLCite \textit{A. Fraysse}, J. Funct. Anal. 258, No. 6, 1806--1821 (2010; Zbl 1205.26021) Full Text: DOI HAL
Guérin, Charles-Antoine Wavelet analysis and covariance structure of some classes of non-stationary processes. (English) Zbl 0958.60034 J. Fourier Anal. Appl. 6, No. 4, 403-425 (2000). MSC: 60G12 42C40 46N30 28A80 PDFBibTeX XMLCite \textit{C.-A. Guérin}, J. Fourier Anal. Appl. 6, No. 4, 403--425 (2000; Zbl 0958.60034) Full Text: DOI EuDML