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
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 Slimane, Mourad; Ben Abid, Moez; Ben Omrane, Ines; Halouani, Borhen On wavelet and leader wavelet based large deviation multifractal formalisms for non-uniform Hölder functions. (English) Zbl 1414.42041 J. Fourier Anal. Appl. 25, No. 2, 506-522 (2019). Reviewer: George Stoica (Saint John) MSC: 42C40 26A15 26A16 26B35 26B05 46E35 46E99 PDFBibTeX XMLCite \textit{M. Ben Slimane} et al., J. Fourier Anal. Appl. 25, No. 2, 506--522 (2019; Zbl 1414.42041) Full Text: DOI
Ben Abid, Moez; Ben Slimane, Mourad; Ben Omrane, Ines; Halouani, Borhen Mixed wavelet leaders multifractal formalism in a product of critical Besov spaces. (English) Zbl 1379.28006 Mediterr. J. Math. 14, No. 4, Paper No. 176, 20 p. (2017). Reviewer: Peter Massopust (München) MSC: 28A80 26A30 28A78 42C40 54E52 PDFBibTeX XMLCite \textit{M. Ben Abid} et al., Mediterr. J. Math. 14, No. 4, Paper No. 176, 20 p. (2017; Zbl 1379.28006) Full Text: DOI
Ben Abid, Moez; Ben Slimane, Mourad; Ben Omrane, Ines Mixed wavelet leaders multifractal formalism for Baire generic functions in a product of intersections of Hölder spaces with non-continuous Besov spaces. (English) Zbl 1355.28012 Mediterr. J. Math. 13, No. 6, 5093-5118 (2016). Reviewer: Peter Massopust (München) MSC: 28A80 26A30 28A78 42C40 54E52 PDFBibTeX XMLCite \textit{M. Ben Abid} et al., Mediterr. J. Math. 13, No. 6, 5093--5118 (2016; Zbl 1355.28012) Full Text: DOI
Ben Slimane, Mourad; Halouani, Borhen Multifractal formalism of oscillating singularities for random wavelet series. (English) Zbl 1337.28009 Fractals 23, No. 2, Article ID 1550005, 10 p. (2015). MSC: 28A80 42C40 PDFBibTeX XMLCite \textit{M. Ben Slimane} and \textit{B. Halouani}, Fractals 23, No. 2, Article ID 1550005, 10 p. (2015; Zbl 1337.28009) Full Text: DOI
Ben Slimane, Mourad Baire generic histograms of wavelet coefficients and large deviation formalism in Besov and Sobolev spaces. (English) Zbl 1165.42008 J. Math. Anal. Appl. 349, No. 2, 403-412 (2009). Reviewer: Stefan Balint (Timişoara) MSC: 42C40 46E35 60B11 60F10 PDFBibTeX XMLCite \textit{M. Ben Slimane}, J. Math. Anal. Appl. 349, No. 2, 403--412 (2009; Zbl 1165.42008) Full Text: DOI
Slimane, Mourad Ben Multifractal formalism for selfsimilar functions associated to the \(n\)-scale dilation family. (English) Zbl 1048.28006 Math. Proc. Camb. Philos. Soc. 136, No. 1, 195-212 (2004). Reviewer: Yimin Xiao (East Lansing) MSC: 28A80 42C40 37C45 PDFBibTeX XMLCite \textit{M. B. Slimane}, Math. Proc. Camb. Philos. Soc. 136, No. 1, 195--212 (2004; Zbl 1048.28006) Full Text: DOI
Ben Slimane, Mourad Multifractal formalism for selfsimilar functions expanded in singular basis. (English) Zbl 0997.28006 Appl. Comput. Harmon. Anal. 11, No. 3, 387-419 (2001). Reviewer: Yimin Xiao (Berkeley) MSC: 28A80 42C40 PDFBibTeX XMLCite \textit{M. Ben Slimane}, Appl. Comput. Harmon. Anal. 11, No. 3, 387--419 (2001; Zbl 0997.28006) Full Text: DOI
Ben Slimane, M. Multifractal formalism for self-similar functions under the action of nonlinear dynamical systems. (English) Zbl 0928.28002 Constructive Approximation 15, No. 2, 209-240 (1999). Reviewer: Yimin Xiao (Salt Lake City) MSC: 28A80 26A30 26A18 28A78 42C40 54H20 37B30 PDFBibTeX XMLCite \textit{M. Ben Slimane}, Constr. Approx. 15, No. 2, 209--240 (1999; Zbl 0928.28002) Full Text: DOI