Barral, Julien; Seuret, Stéphane Combining multifractal additive and multiplicative chaos. (English) Zbl 1077.28003 Commun. Math. Phys. 257, No. 2, 473-497 (2005). MSC: 28A80 28A12 37C45 PDFBibTeX XMLCite \textit{J. Barral} and \textit{S. Seuret}, Commun. Math. Phys. 257, No. 2, 473--497 (2005; Zbl 1077.28003) Full Text: DOI
Barral, Julien; Fan, Ai-Hua Covering numbers of different points in Dvoretzky covering. (English) Zbl 1068.28005 Bull. Sci. Math. 129, No. 4, 275-317 (2005). MSC: 28A80 28A78 60G44 60G57 PDFBibTeX XMLCite \textit{J. Barral} and \textit{A.-H. Fan}, Bull. Sci. Math. 129, No. 4, 275--317 (2005; Zbl 1068.28005) Full Text: DOI
Barral, Julien Random multiplicative multifractal measures. III: Techniques for the study of infinite products of independent random functions. (English) Zbl 1117.28006 Lapidus, Michel L. (ed.) et al., Fractal geometry and applications: A jubilee of Benoît Mandelbrot. Multifractals, probability and statistical mechanics, applications. In part the proceedings of a special session held during the annual meeting of the American Mathematical Society, San Diego, CA, USA, January 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3638-2/v.2; 0-8218-3292-1/set). Proceedings of Symposia in Pure Mathematics 72, Pt. 2, 53-90 (2004). Reviewer: Yimin Xiao (East Lansing) MSC: 28A80 60G18 60G44 60G55 60G57 PDFBibTeX XMLCite \textit{J. Barral}, Proc. Symp. Pure Math. 72, 53--90 (2004; Zbl 1117.28006)
Barral, Julien; Mandelbrot, Benoît B. Random multiplicative multifractal measures. II: Non-degeneracy, moments, dimension, and multifractal analysis for random multiplicative measures. (English) Zbl 1117.28007 Lapidus, Michel L. (ed.) et al., Fractal geometry and applications: A jubilee of Benoît Mandelbrot. Multifractals, probability and statistical mechanics, applications. In part the proceedings of a special session held during the annual meeting of the American Mathematical Society, San Diego, CA, USA, January 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3638-2/v.2; 0-8218-3292-1/set). Proceedings of Symposia in Pure Mathematics 72, Pt. 2, 17-52 (2004). Reviewer: Yimin Xiao (East Lansing) MSC: 28A80 60G18 60G44 60G55 60G57 PDFBibTeX XMLCite \textit{J. Barral} and \textit{B. B. Mandelbrot}, Proc. Symp. Pure Math. 72, 17--52 (2004; Zbl 1117.28007)
Barral, Julien; Mandelbrot, Benoît B. Random multiplicative multifractal measures. I: Introduction to infinite products of independent random functions. (English) Zbl 1088.28004 Lapidus, Michel L. (ed.) et al., Fractal geometry and applications: A jubilee of Benoît Mandelbrot. Multifractals, probability and statistical mechanics, applications. In part the proceedings of a special session held during the annual meeting of the American Mathematical Society, San Diego, CA, USA, January 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3638-2/v.2; 0-8218-3292-1/set). Proceedings of Symposia in Pure Mathematics 72, Pt. 2, 3-16 (2004). Reviewer: Yimin Xiao (East Lansing) MSC: 28A80 60G18 60G44 60G55 60G57 PDFBibTeX XMLCite \textit{J. Barral} and \textit{B. B. Mandelbrot}, Proc. Symp. Pure Math. 72, 3--16 (2004; Zbl 1088.28004)
Barral, Julien Poissonian products of random weights: uniform convergence and related measures. (English) Zbl 1056.60032 Rev. Mat. Iberoam. 19, No. 3, 813-856 (2003). Reviewer: Pavel Gapeev (Moskva) MSC: 60G18 60G44 60G55 60G57 28A33 28A80 PDFBibTeX XMLCite \textit{J. Barral}, Rev. Mat. Iberoam. 19, No. 3, 813--856 (2003; Zbl 1056.60032) Full Text: DOI EuDML
Barral, Julien; Mandelbrot, Benoît B. Multifractal products of cylindrical pulses. (English) Zbl 1014.60042 Probab. Theory Relat. Fields 124, No. 3, 409-430 (2002). Reviewer: Ilya S.Molchanov (Glasgow) MSC: 60G18 60G44 60G55 60G57 28A80 PDFBibTeX XMLCite \textit{J. Barral} and \textit{B. B. Mandelbrot}, Probab. Theory Relat. Fields 124, No. 3, 409--430 (2002; Zbl 1014.60042) Full Text: DOI