Bayart, Frédéric; Buczolich, Zoltán; Heurteaux, Yanick Fast and slow points of Birkhoff sums. (English) Zbl 1454.37010 Ergodic Theory Dyn. Syst. 40, No. 12, 3236-3256 (2020). Reviewer: George Stoica (Saint John) MSC: 37A30 11K55 28A78 60F15 PDFBibTeX XMLCite \textit{F. Bayart} et al., Ergodic Theory Dyn. Syst. 40, No. 12, 3236--3256 (2020; Zbl 1454.37010) Full Text: DOI arXiv
Bayart, Frédéric; Heurteaux, Yanick Multifractal phenomena and packing dimension. (English) Zbl 1475.28005 Rev. Mat. Iberoam. 35, No. 3, 767-804 (2019). MSC: 28A78 28A80 42A38 PDFBibTeX XMLCite \textit{F. Bayart} and \textit{Y. Heurteaux}, Rev. Mat. Iberoam. 35, No. 3, 767--804 (2019; Zbl 1475.28005) Full Text: DOI arXiv
Bayart, Frédéric; Heurteaux, Yanick Multifractal analysis of the divergence of Fourier series: the extreme cases. (English) Zbl 1307.42003 J. Anal. Math. 124, 387-408 (2014). MSC: 42A20 28A80 28A78 PDFBibTeX XMLCite \textit{F. Bayart} and \textit{Y. Heurteaux}, J. Anal. Math. 124, 387--408 (2014; Zbl 1307.42003) Full Text: DOI arXiv
Bayart, Frédéric How do the typical \(L^q\)-dimensions of measures behave? (English) Zbl 1314.28005 Indiana Univ. Math. J. 63, No. 3, 687-726 (2014). Reviewer: Dumitrŭ Popa (Constanţa) MSC: 28A78 PDFBibTeX XMLCite \textit{F. Bayart}, Indiana Univ. Math. J. 63, No. 3, 687--726 (2014; Zbl 1314.28005) Full Text: DOI arXiv Link
Bayart, Frédéric; Heurteaux, Yanick On the Hausdorff dimension of graphs of prevalent continuous functions on compact sets. (English) Zbl 1268.28003 Barral, Julien (ed.) et al., Further developments in fractals and related fields. Mathematical foundations and connections. Outgrowth of the 2nd international conference on fractals and related fields, Porquerolles Island, France, June 2011. New York, NY: Birkhäuser/Springer (ISBN 978-0-8176-8399-3/hbk; 978-0-8176-8400-6/ebook). Trends in Mathematics, 25-34 (2013). MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{F. Bayart} and \textit{Y. Heurteaux}, in: Further developments in fractals and related fields. Mathematical foundations and connections. Outgrowth of the 2nd international conference on fractals and related fields, Porquerolles Island, France, June 2011. New York, NY: Birkhäuser/Springer. 25--34 (2013; Zbl 1268.28003) Full Text: DOI arXiv
Bayart, Frédéric Multifractal spectra of typical and prevalent measures. (English) Zbl 1276.28014 Nonlinearity 26, No. 2, 353-367 (2013). Reviewer: Lingmin Liao (Créteil) MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{F. Bayart}, Nonlinearity 26, No. 2, 353--367 (2013; Zbl 1276.28014) Full Text: DOI arXiv
Bayart, Frédéric; Heurteaux, Yanick Multifractal analysis of the divergence of Fourier series. (Analyse multifractale des points de divergence des séries de Fourier.) (English. French summary) Zbl 1278.42003 Ann. Sci. Éc. Norm. Supér. (4) 45, No. 6, 927-946 (2012). Reviewer: Zoltán Németh (Szeged) MSC: 42A20 28A80 PDFBibTeX XMLCite \textit{F. Bayart} and \textit{Y. Heurteaux}, Ann. Sci. Éc. Norm. Supér. (4) 45, No. 6, 927--946 (2012; Zbl 1278.42003) Full Text: arXiv Numdam
Bayart, Frédéric The multifractal box dimensions of typical measures. (English) Zbl 1271.28003 Fundam. Math. 219, No. 2, 145-162 (2012). Reviewer: Boris A. Kats (Kazan) MSC: 28A80 PDFBibTeX XMLCite \textit{F. Bayart}, Fundam. Math. 219, No. 2, 145--162 (2012; Zbl 1271.28003) Full Text: DOI arXiv
Bayart, F.; Matheron, É; Moreau, P. Small sets and hypercyclic vectors. (English) Zbl 1210.47022 Commentat. Math. Univ. Carol. 49, No. 1, 53-65 (2008). Reviewer: Milan Tvrdý (Praha) MSC: 47A16 28A05 47B37 PDFBibTeX XMLCite \textit{F. Bayart} et al., Commentat. Math. Univ. Carol. 49, No. 1, 53--65 (2008; Zbl 1210.47022) Full Text: EuDML EMIS
Bayart, Frédéric; Grivaux, Sophie Invariant Gaussian measures for operators on Banach spaces and linear dynamics. (English) Zbl 1115.47006 Proc. Lond. Math. Soc. (3) 94, No. 1, 181-210 (2007). Reviewer: José A. Prado-Bassas (Sevilla) MSC: 47A16 47A35 46B09 46B25 37A05 37A25 60G15 28D05 28C20 PDFBibTeX XMLCite \textit{F. Bayart} and \textit{S. Grivaux}, Proc. Lond. Math. Soc. (3) 94, No. 1, 181--210 (2007; Zbl 1115.47006) Full Text: DOI
Bayart, Frédéric Porosity and hypercyclic operators. (English) Zbl 1202.47009 Proc. Am. Math. Soc. 133, No. 11, 3309-3316 (2005). Reviewer: José Bonet (Valencia) MSC: 47A16 28A05 PDFBibTeX XMLCite \textit{F. Bayart}, Proc. Am. Math. Soc. 133, No. 11, 3309--3316 (2005; Zbl 1202.47009) Full Text: DOI