Yuan, Zhihui Multifractal formalism for the inverse of random weak Gibbs measures. (English) Zbl 1454.37034 Stoch. Dyn. 20, No. 4, Article ID 2050024, 45 p. (2020). MSC: 37D35 37C45 28A78 PDFBibTeX XMLCite \textit{Z. Yuan}, Stoch. Dyn. 20, No. 4, Article ID 2050024, 45 p. (2020; Zbl 1454.37034) Full Text: DOI arXiv
Atnip, Jason; Urbański, Mariusz Critically finite random maps of an interval. (English) Zbl 1455.37036 Discrete Contin. Dyn. Syst. 40, No. 8, 4839-4906 (2020). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37H12 37D35 PDFBibTeX XMLCite \textit{J. Atnip} and \textit{M. Urbański}, Discrete Contin. Dyn. Syst. 40, No. 8, 4839--4906 (2020; Zbl 1455.37036) Full Text: DOI arXiv
Yuan, Zhihui Multifractal analysis of random weak Gibbs measures. (English) Zbl 1378.37050 Discrete Contin. Dyn. Syst. 37, No. 10, 5367-5405 (2017). MSC: 37C45 37D35 28A78 PDFBibTeX XMLCite \textit{Z. Yuan}, Discrete Contin. Dyn. Syst. 37, No. 10, 5367--5405 (2017; Zbl 1378.37050) Full Text: DOI arXiv
Freiberg, Uta Renata Some remarks on the Hausdorff and spectral dimension of \(V\)-variable nested fractals. (English) Zbl 1223.28006 Barral, Julien (ed.) et al., Recent developments in fractals and related fields. Based on the international conference on fractals and related fields, Monastir, Tunisia, September 2007 held in honor of Jacques Peyrière. Boston, MA: Birkhäuser (ISBN 978-0-8176-4887-9/hbk; 978-0-8176-4888-6/ebook). Applied and Numerical Harmonic Analysis, 267-282 (2010). Reviewer: Enrico Zoli (Firenze) MSC: 28A78 28A80 PDFBibTeX XMLCite \textit{U. R. Freiberg}, in: Recent developments in fractals and related fields. Based on the international conference on fractals and related fields, Monastir, Tunisia, September 2007 held in honor of Jacques Peyrière. Boston, MA: Birkhäuser. 267--282 (2010; Zbl 1223.28006) Full Text: DOI
Shu, Lin The multifractal analysis of Birkhoff averages for conformal repellers under random perturbations. (English) Zbl 1185.28010 Monatsh. Math. 159, No. 1-2, 81-113 (2010). Reviewer: Hua Su (Beijing) MSC: 28A78 28D20 60G57 PDFBibTeX XMLCite \textit{L. Shu}, Monatsh. Math. 159, No. 1--2, 81--113 (2010; Zbl 1185.28010) Full Text: DOI
Durand, Arnaud Random fractals and tree-indexed Markov chains. (English) Zbl 1189.60030 Rev. Mat. Iberoam. 25, No. 3, 1089-1126 (2009). Reviewer: Ilya S. Molchanov (Bern) MSC: 60D05 28A80 60J10 60J80 PDFBibTeX XMLCite \textit{A. Durand}, Rev. Mat. Iberoam. 25, No. 3, 1089--1126 (2009; Zbl 1189.60030) Full Text: DOI arXiv Euclid
Barnsley, Michael F.; Hutchinson, John E.; Stenflo, Örjan \(V\)-variable fractals: Fractals with partial self similarity. (English) Zbl 1169.28006 Adv. Math. 218, No. 6, 2051-2088 (2008). Reviewer: Tomasz Kubiak (Poznań) MSC: 28A80 60G57 PDFBibTeX XMLCite \textit{M. F. Barnsley} et al., Adv. Math. 218, No. 6, 2051--2088 (2008; Zbl 1169.28006) Full Text: DOI arXiv
Barral, Julien; Seuret, Stéphane The singularity spectrum of Lévy processes in multifractal time. (English) Zbl 1131.60039 Adv. Math. 214, No. 1, 437-468 (2007). Reviewer: Peter Mörters (Bath) MSC: 60G51 60G17 28A78 28A80 28C15 PDFBibTeX XMLCite \textit{J. Barral} and \textit{S. Seuret}, Adv. Math. 214, No. 1, 437--468 (2007; Zbl 1131.60039) Full Text: DOI
Barral, Julien; Seuret, Stéphane Renewal of singularity sets of random self-similar measures. (English) Zbl 1112.60040 Adv. Appl. Probab. 39, No. 1, 162-188 (2007). MSC: 60G57 60F10 28A78 28A80 PDFBibTeX XMLCite \textit{J. Barral} and \textit{S. Seuret}, Adv. Appl. Probab. 39, No. 1, 162--188 (2007; Zbl 1112.60040) Full Text: DOI arXiv
Barnsley, Michael; Hutchinson, John; Stenflo, Örjan A fractal valued random iteration algorithm and fractal hierarchy. (English) Zbl 1304.28004 Fractals 13, No. 2, 111-146 (2005). MSC: 28A80 37C80 37C45 PDFBibTeX XMLCite \textit{M. Barnsley} et al., Fractals 13, No. 2, 111--146 (2005; Zbl 1304.28004) Full Text: DOI arXiv
Barral, Julien; Seuret, Stéphane Inside singularity sets of random Gibbs measures. (English) Zbl 1098.82015 J. Stat. Phys. 120, No. 5-6, 1101-1124 (2005). Reviewer: Nasir N. Ganikhodjaev (Kuala Lumpur) MSC: 82B44 28A80 37F35 PDFBibTeX XMLCite \textit{J. Barral} and \textit{S. Seuret}, J. Stat. Phys. 120, No. 5--6, 1101--1124 (2005; Zbl 1098.82015) Full Text: DOI arXiv
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, J.; Coppens, M.-O.; Mandelbrot, B. B. Multiperiodic multifractal martingale measures. (English) Zbl 1047.28003 J. Math. Pures Appl., IX. Sér. 82, No. 12, 1555-1589 (2003). Reviewer: Yuri Kifer (Jerusalem) MSC: 28A80 37H99 60G42 60G57 PDFBibTeX XMLCite \textit{J. Barral} et al., J. Math. Pures Appl. (9) 82, No. 12, 1555--1589 (2003; Zbl 1047.28003) Full Text: DOI
Stenflo, Örjan Markov chains in random environments and random iterated function systems. (English) Zbl 0976.60095 Trans. Am. Math. Soc. 353, No. 9, 3547-3562 (2001). Reviewer: Yuri Kifer (Jerusalem) MSC: 60K37 37H99 28A80 PDFBibTeX XMLCite \textit{Ö. Stenflo}, Trans. Am. Math. Soc. 353, No. 9, 3547--3562 (2001; Zbl 0976.60095) Full Text: DOI
Kifer, Yuri Perron-Frobenius theorem, large deviations, and random perturbations in random environments. (English) Zbl 0863.60062 Math. Z. 222, No. 4, 677-698 (1996). Reviewer: Y.Kifer MSC: 60J05 47B80 37-XX 60F10 PDFBibTeX XMLCite \textit{Y. Kifer}, Math. Z. 222, No. 4, 677--698 (1996; Zbl 0863.60062) Full Text: DOI EuDML