Bertoin, Jean A model for an epidemic with contact tracing and cluster isolation, and a detection paradox. (English) Zbl 1520.92047 J. Appl. Probab. 60, No. 3, 1079-1095 (2023). MSC: 92D25 60J85 PDFBibTeX XMLCite \textit{J. Bertoin}, J. Appl. Probab. 60, No. 3, 1079--1095 (2023; Zbl 1520.92047) Full Text: DOI arXiv
Bertoin, Jean; Yang, Hairuo Scaling limits of branching random walks and branching-stable processes. (English) Zbl 1501.60053 J. Appl. Probab. 59, No. 4, 1009-1025 (2022). MSC: 60J80 60F17 60G50 PDFBibTeX XMLCite \textit{J. Bertoin} and \textit{H. Yang}, J. Appl. Probab. 59, No. 4, 1009--1025 (2022; Zbl 1501.60053) Full Text: DOI arXiv
Baur, Erich; Bertoin, Jean On a two-parameter Yule-Simon distribution. (English) Zbl 1496.60105 Chaumont, Loïc (ed.) et al., A lifetime of excursions through random walks and Lévy processes. A volume in honour of Ron Doney’s 80th birthday. Cham: Birkhäuser. Prog. Probab. 78, 59-82 (2021). MSC: 60J80 60J85 PDFBibTeX XMLCite \textit{E. Baur} and \textit{J. Bertoin}, Prog. Probab. 78, 59--82 (2021; Zbl 1496.60105) Full Text: DOI arXiv
Bertoin, Jean; Curien, Nicolas; Kortchemski, Igor On conditioning a self-similar growth-fragmentation by its intrinsic area. (English. French summary) Zbl 1484.60045 Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 2, 1136-1156 (2021). Reviewer: Matthias Meiners (Gießen) MSC: 60G18 60J80 PDFBibTeX XMLCite \textit{J. Bertoin} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 57, No. 2, 1136--1156 (2021; Zbl 1484.60045) Full Text: DOI arXiv
Bertoin, Jean Scaling exponents of step-reinforced random walks. (English) Zbl 1483.60065 Probab. Theory Relat. Fields 179, No. 1-2, 295-315 (2021). Reviewer: Alexander Iksanov (Kiev) MSC: 60G50 60G51 60K35 PDFBibTeX XMLCite \textit{J. Bertoin}, Probab. Theory Relat. Fields 179, No. 1--2, 295--315 (2021; Zbl 1483.60065) Full Text: DOI
Bertoin, Jean; Watson, Alexander R. The strong Malthusian behavior of growth-fragmentation processes. (Comportement Malthusien fort des processus de croissance-fragmentation.) (English. French summary) Zbl 1451.35229 Ann. Henri Lebesgue 3, 795-823 (2020). MSC: 35Q92 92C37 37A30 47D06 60G46 60J80 PDFBibTeX XMLCite \textit{J. Bertoin} and \textit{A. R. Watson}, Ann. Henri Lebesgue 3, 795--823 (2020; Zbl 1451.35229) Full Text: DOI arXiv
Bertoin, Jean On a Feynman-Kac approach to growth-fragmentation semigroups and their asymptotic behaviors. (English) Zbl 1433.35414 J. Funct. Anal. 277, No. 11, Article ID 108270, 29 p. (2019). Reviewer: Zhen Chao (Milwaukee) MSC: 35Q92 37A30 47D06 60G46 60J25 92D25 35R09 35B40 PDFBibTeX XMLCite \textit{J. Bertoin}, J. Funct. Anal. 277, No. 11, Article ID 108270, 29 p. (2019; Zbl 1433.35414) Full Text: DOI arXiv Link
Bertoin, Jean; Cortines, Aser; Mallein, Bastien Branching-stable point measures and processes. (English) Zbl 1458.60095 Adv. Appl. Probab. 50, No. 4, 1294-1314 (2018). Reviewer: Hans Daduna (Hamburg) MSC: 60J80 60G52 60G57 PDFBibTeX XMLCite \textit{J. Bertoin} et al., Adv. Appl. Probab. 50, No. 4, 1294--1314 (2018; Zbl 1458.60095) Full Text: DOI arXiv Link
Bertoin, Jean; Budd, Timothy; Curien, Nicolas; Kortchemski, Igor Martingales in self-similar growth-fragmentations and their connections with random planar maps. (English) Zbl 1451.60047 Probab. Theory Relat. Fields 172, No. 3-4, 663-724 (2018). Reviewer: Chuanxi Zhu (Nanchang) MSC: 60G51 60J80 05C80 60F17 60C05 PDFBibTeX XMLCite \textit{J. Bertoin} et al., Probab. Theory Relat. Fields 172, No. 3--4, 663--724 (2018; Zbl 1451.60047) Full Text: DOI arXiv Link
Bertoin, Jean; Mallein, Bastien Biggins’ martingale convergence for branching Lévy processes. (English) Zbl 1402.60051 Electron. Commun. Probab. 23, Paper No. 83, 12 p. (2018). MSC: 60G44 60G51 60J80 PDFBibTeX XMLCite \textit{J. Bertoin} and \textit{B. Mallein}, Electron. Commun. Probab. 23, Paper No. 83, 12 p. (2018; Zbl 1402.60051) Full Text: DOI arXiv Euclid
Bertoin, Jean; Watson, Alexander R. A probabilistic approach to spectral analysis of growth-fragmentation equations. (English) Zbl 1384.35132 J. Funct. Anal. 274, No. 8, 2163-2204 (2018). MSC: 35Q92 47D06 45K05 47G20 60G51 35B40 35R60 92C37 PDFBibTeX XMLCite \textit{J. Bertoin} and \textit{A. R. Watson}, J. Funct. Anal. 274, No. 8, 2163--2204 (2018; Zbl 1384.35132) Full Text: DOI arXiv Link
Bertoin, Jean The cut-tree of large recursive trees. (English. French summary) Zbl 1351.60010 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 2, 478-488 (2015). Reviewer: Ping Sun (Shenyang) MSC: 60C05 05D40 60D05 60F15 05C05 PDFBibTeX XMLCite \textit{J. Bertoin}, Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 2, 478--488 (2015; Zbl 1351.60010) Full Text: DOI Euclid
Baur, Erich; Bertoin, Jean Cutting edges at random in large recursive trees. (English) Zbl 1390.60043 Crisan, Dan (ed.) et al., Stochastic analysis and applications 2014. In honour of Terry Lyons. Selected articles based on the presentations at the conference, Oxford, UK, September 23–27, 2013. Cham: Springer (ISBN 978-3-319-11291-6/hbk; 978-3-319-11292-3/ebook). Springer Proceedings in Mathematics & Statistics 100, 51-76 (2014). MSC: 60C05 05C80 05C50 60K35 PDFBibTeX XMLCite \textit{E. Baur} and \textit{J. Bertoin}, Springer Proc. Math. Stat. 100, 51--76 (2014; Zbl 1390.60043) Full Text: DOI arXiv
Bertoin, Jean Sizes of the largest clusters for supercritical percolation on random recursive trees. (English) Zbl 1280.05117 Random Struct. Algorithms 44, No. 1, 29-44 (2014). MSC: 05C80 05C05 PDFBibTeX XMLCite \textit{J. Bertoin}, Random Struct. Algorithms 44, No. 1, 29--44 (2014; Zbl 1280.05117) Full Text: DOI HAL
Bertoin, Jean; Dufresne, Daniel; Yor, Marc Some two-dimensional extensions of Bougerol’s identity in law for the exponential functional of linear Brownian motion. (English) Zbl 1303.60073 Rev. Mat. Iberoam. 29, No. 4, 1307-1324 (2013). Reviewer: Dominique Lepingle (Orléans) MSC: 60J65 60J60 60J55 PDFBibTeX XMLCite \textit{J. Bertoin} et al., Rev. Mat. Iberoam. 29, No. 4, 1307--1324 (2013; Zbl 1303.60073) Full Text: DOI arXiv
Bertoin, Jean Asymptotic regimes for the partition into colonies of a branching process with emigration. (English) Zbl 1215.60049 Ann. Appl. Probab. 20, No. 6, 1967-1988 (2010). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J80 60J05 PDFBibTeX XMLCite \textit{J. Bertoin}, Ann. Appl. Probab. 20, No. 6, 1967--1988 (2010; Zbl 1215.60049) Full Text: DOI arXiv
Bertoin, Jean Two solvable systems of coagulation equations with limited aggregations. (English) Zbl 1179.82180 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2073-2089 (2009). MSC: 82D60 34A34 82C23 PDFBibTeX XMLCite \textit{J. Bertoin}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 26, No. 6, 2073--2089 (2009; Zbl 1179.82180) Full Text: DOI arXiv EuDML
Bertoin, Jean The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations. (English) Zbl 1180.92063 Ann. Probab. 37, No. 4, 1502-1523 (2009). Reviewer: Heinrich Hering (Rockenberg) MSC: 92D15 92D10 60J80 60J85 60J20 PDFBibTeX XMLCite \textit{J. Bertoin}, Ann. Probab. 37, No. 4, 1502--1523 (2009; Zbl 1180.92063) Full Text: DOI arXiv
Bertoin, Jean Different aspects of a random fragmentation model. (English) Zbl 1102.60070 Stochastic Processes Appl. 116, No. 3, 345-369 (2006). Reviewer: Annette Kopp-Schneider (Heidelberg) MSC: 60J80 60G18 PDFBibTeX XMLCite \textit{J. Bertoin}, Stochastic Processes Appl. 116, No. 3, 345--369 (2006; Zbl 1102.60070) Full Text: DOI arXiv
Bertoin, Jean Darling-Erdős theorems for normalized sums of i. i. d. variables close to a stable law. (English) Zbl 0943.60041 Ann. Probab. 26, No. 2, 832-852 (1998). Reviewer: A.Gut (Uppsala) MSC: 60G50 60F05 60G10 PDFBibTeX XMLCite \textit{J. Bertoin}, Ann. Probab. 26, No. 2, 832--852 (1998; Zbl 0943.60041) Full Text: DOI
Bertoin, Jean; Yor, Marc Some independence results related to the arc-sine law. (English) Zbl 0876.60060 J. Theor. Probab. 9, No. 2, 447-458 (1996). Reviewer: D.Lepingle (Orléans) MSC: 60J55 PDFBibTeX XMLCite \textit{J. Bertoin} and \textit{M. Yor}, J. Theor. Probab. 9, No. 2, 447--458 (1996; Zbl 0876.60060) Full Text: DOI
Bertoin, Jean On the local rate of growth of Lévy processes with no positive jumps. (English) Zbl 0816.60072 Stochastic Processes Appl. 55, No. 1, 91-100 (1995). Reviewer: Qian Minping (Beijing) MSC: 60J99 60G17 PDFBibTeX XMLCite \textit{J. Bertoin}, Stochastic Processes Appl. 55, No. 1, 91--100 (1995; Zbl 0816.60072) Full Text: DOI
Bertoin, J.; Doney, R. A. Cramér’s estimate for Lévy processes. (English) Zbl 0809.60085 Stat. Probab. Lett. 21, No. 5, 363-365 (1994). Reviewer: Z.Rychlik (Lublin) MSC: 60J99 PDFBibTeX XMLCite \textit{J. Bertoin} and \textit{R. A. Doney}, Stat. Probab. Lett. 21, No. 5, 363--365 (1994; Zbl 0809.60085) Full Text: DOI
Bertoin, Jean Increase of stable processes. (English) Zbl 0809.60050 J. Theor. Probab. 7, No. 3, 551-563 (1994). Reviewer: F.Papangelou (Manchester) MSC: 60G17 60J99 PDFBibTeX XMLCite \textit{J. Bertoin}, J. Theor. Probab. 7, No. 3, 551--563 (1994; Zbl 0809.60050) Full Text: DOI
Bertoin, Jean Lévy processes with no positive jumps at an increase time. (English) Zbl 0794.60075 Probab. Theory Relat. Fields 96, No. 1, 123-135 (1993). Reviewer: J.Bertoin (Paris) MSC: 60J99 60G17 PDFBibTeX XMLCite \textit{J. Bertoin}, Probab. Theory Relat. Fields 96, No. 1, 123--135 (1993; Zbl 0794.60075) Full Text: DOI
Bertoin, Jean Splitting at the infimum and excursions in half-lines for random walks and Lévy processes. (English) Zbl 0786.60101 Stochastic Processes Appl. 47, No. 1, 17-35 (1993). Reviewer: J.-P.Lepeltier (Le Mans) MSC: 60J99 60G50 PDFBibTeX XMLCite \textit{J. Bertoin}, Stochastic Processes Appl. 47, No. 1, 17--35 (1993; Zbl 0786.60101) Full Text: DOI
Bertoin, Jean Conditioning a reflected one-dimensional diffusion via its canonical decomposition. (English) Zbl 0773.60074 J. Theor. Probab. 6, No. 2, 303-321 (1993). Reviewer: M.Chaleyat-Maurel (Paris) MSC: 60J60 60J65 60J50 PDFBibTeX XMLCite \textit{J. Bertoin}, J. Theor. Probab. 6, No. 2, 303--321 (1993; Zbl 0773.60074) Full Text: DOI
Bertoin, Jean Factorizing Laplace exponents in a spectrally positive Lévy process. (English) Zbl 0757.60067 Stochastic Processes Appl. 42, No. 2, 307-313 (1992). Reviewer: W.-Z.Yang (Taipei) MSC: 60J99 60E07 PDFBibTeX XMLCite \textit{J. Bertoin}, Stochastic Processes Appl. 42, No. 2, 307--313 (1992; Zbl 0757.60067) Full Text: DOI