Georgiou, Nicholas; Wade, Andrew R. Deposition, diffusion, and nucleation on an interval. (English) Zbl 1504.60127 Ann. Appl. Probab. 32, No. 6, 4849-4892 (2022). MSC: 60J25 60J65 60J70 60K35 82C22 82D80 PDF BibTeX XML Cite \textit{N. Georgiou} and \textit{A. R. Wade}, Ann. Appl. Probab. 32, No. 6, 4849--4892 (2022; Zbl 1504.60127) Full Text: DOI arXiv
Smilansky, Yotam Statistics and gap distributions in random Kakutani partitions and multiscale substitution tilings. (English) Zbl 07584838 J. Math. Anal. Appl. 516, No. 2, Article ID 126535, 14 p. (2022). MSC: 62-XX 52C23 05C22 11K36 37B52 PDF BibTeX XML Cite \textit{Y. Smilansky}, J. Math. Anal. Appl. 516, No. 2, Article ID 126535, 14 p. (2022; Zbl 07584838) Full Text: DOI arXiv
Dyszewski, Piotr; Gantert, Nina; Johnston, Samuel G. G.; Prochno, Joscha; Schmid, Dominik Sharp concentration for the largest and smallest fragment in a \(k\)-regular self-similar fragmentation. (English) Zbl 1498.60315 Ann. Probab. 50, No. 3, 1173-1203 (2022). MSC: 60J27 60G55 60J80 PDF BibTeX XML Cite \textit{P. Dyszewski} et al., Ann. Probab. 50, No. 3, 1173--1203 (2022; Zbl 1498.60315) Full Text: DOI arXiv
Aistleitner, Christoph; Hofer, Markus Uniform distribution of generalized Kakutani’s sequences of partitions. (English) Zbl 1284.11104 Ann. Mat. Pura Appl. (4) 192, No. 4, 529-538 (2013). Reviewer: Michael Drmota (Wien) MSC: 11K06 11K45 60B10 PDF BibTeX XML Cite \textit{C. Aistleitner} and \textit{M. Hofer}, Ann. Mat. Pura Appl. (4) 192, No. 4, 529--538 (2013; Zbl 1284.11104) Full Text: DOI
Curien, Nicolas; Le Gall, Jean-François Random recursive triangulations of the disk via fragmentation theory. (English) Zbl 1252.60016 Ann. Probab. 39, No. 6, 2224-2270 (2011). Reviewer: Isamu Dôku (Saitama) MSC: 60D05 60J80 05C80 PDF BibTeX XML Cite \textit{N. Curien} and \textit{J.-F. Le Gall}, Ann. Probab. 39, No. 6, 2224--2270 (2011; Zbl 1252.60016) Full Text: DOI arXiv
Volčič, Aljoša A generalization of Kakutani’s splitting procedure. (English) Zbl 1219.11113 Ann. Mat. Pura Appl. (4) 190, No. 1, 45-54 (2011). Reviewer: Robert F. Tichy (Graz) MSC: 11K06 11K45 28D05 PDF BibTeX XML Cite \textit{A. Volčič}, Ann. Mat. Pura Appl. (4) 190, No. 1, 45--54 (2011; Zbl 1219.11113) Full Text: DOI arXiv
Krell, Nathalie Self-similar branching Markov chains. (English) Zbl 1193.60101 Donati-Martin, Catherine (ed.) et al., Séminaire de probabilités XLII. Berlin: Springer (ISBN 978-3-642-01762-9/pbk; 978-3-642-01763-6/ebook). Lecture Notes in Mathematics 1979, 261-280 (2009). Reviewer: Victor V. Goryainov (Volzhsky) MSC: 60J80 60G18 60F25 60J27 PDF BibTeX XML Cite \textit{N. Krell}, Lect. Notes Math. 1979, 261--280 (2009; Zbl 1193.60101) Full Text: DOI arXiv
Janson, Svante; Neininger, Ralph The size of random fragmentation trees. (English) Zbl 1158.60044 Probab. Theory Relat. Fields 142, No. 3-4, 399-442 (2008). Reviewer: Hsien-Kuei Hwang (Taipei) MSC: 60K35 60F05 60J80 60C05 68P05 PDF BibTeX XML Cite \textit{S. Janson} and \textit{R. Neininger}, Probab. Theory Relat. Fields 142, No. 3--4, 399--442 (2008; Zbl 1158.60044) Full Text: DOI arXiv
Ghorbel, M.; Huillet, T. Additional aspects of the non-conservative Kolmogorov-Filippov fragmentation model. (English) Zbl 1131.60091 Chaos Solitons Fractals 33, No. 5, 1569-1583 (2007). MSC: 60K40 82B05 PDF BibTeX XML Cite \textit{M. Ghorbel} and \textit{T. Huillet}, Chaos Solitons Fractals 33, No. 5, 1569--1583 (2007; Zbl 1131.60091) Full Text: DOI
Haas, Bénédicte Equilibrium for fragmentation with immigration. (English) Zbl 1093.60050 Ann. Appl. Probab. 15, No. 3, 1958-1996 (2005). Reviewer: Chengxun Wu (Shanghai) MSC: 60J25 60J55 60B10 82C21 PDF BibTeX XML Cite \textit{B. Haas}, Ann. Appl. Probab. 15, No. 3, 1958--1996 (2005; Zbl 1093.60050) Full Text: DOI arXiv
Berestycki, Julien Ranked fragmentations. (English) Zbl 1001.60078 ESAIM, Probab. Stat. 6, 157-175 (2002). MSC: 60J25 60G09 PDF BibTeX XML Cite \textit{J. Berestycki}, ESAIM, Probab. Stat. 6, 157--175 (2002; Zbl 1001.60078) Full Text: DOI arXiv Numdam EuDML
Baryshnikov, Yuliy; Gnedin, Alexander Counting intervals in the packing process. (English) Zbl 1021.60005 Ann. Appl. Probab. 11, No. 3, 863-877 (2001). Reviewer: V.Schmidt (Ulm) MSC: 60D05 60F05 PDF BibTeX XML Cite \textit{Y. Baryshnikov} and \textit{A. Gnedin}, Ann. Appl. Probab. 11, No. 3, 863--877 (2001; Zbl 1021.60005) Full Text: DOI
Lloyd, C. J.; Williams, E. J. Recursive splitting of an interval when the proportions are identical and independent random variables. (English) Zbl 0712.60013 Stochastic Processes Appl. 28, No. 1, 111-122 (1988). MSC: 60D05 60E05 62G99 PDF BibTeX XML Cite \textit{C. J. Lloyd} and \textit{E. J. Williams}, Stochastic Processes Appl. 28, No. 1, 111--122 (1988; Zbl 0712.60013) Full Text: DOI
Aldous, David; Shields, Paul A diffusion limit for a class of randomly-growing binary trees. (English) Zbl 0641.60026 Probab. Theory Relat. Fields 79, No. 4, 509-542 (1988). MSC: 60F05 60J60 60C05 PDF BibTeX XML Cite \textit{D. Aldous} and \textit{P. Shields}, Probab. Theory Relat. Fields 79, No. 4, 509--542 (1988; Zbl 0641.60026) Full Text: DOI
Brennan, Michael D.; Durrett, Richard Splitting intervals. II: Limit laws for lengths. (English) Zbl 0607.60010 Probab. Theory Relat. Fields 75, 109-127 (1987). MSC: 60D05 60F05 60J80 60K05 PDF BibTeX XML Cite \textit{M. D. Brennan} and \textit{R. Durrett}, Probab. Theory Relat. Fields 75, 109--127 (1987; Zbl 0607.60010) Full Text: DOI
Brennan, Michael D. Length laws for random subdivision of longest intervals. (English) Zbl 0603.60010 Stochastic Processes Appl. 22, 17-26 (1986). Reviewer: J.S.Müller MSC: 60D05 60K05 60F99 PDF BibTeX XML Cite \textit{M. D. Brennan}, Stochastic Processes Appl. 22, 17--26 (1986; Zbl 0603.60010) Full Text: DOI