Ren, Yan-Xia; Song, Renming; Yang, Ting Spine decomposition and \(L \log L\) criterion for superprocesses with non-local branching mechanism. (English) Zbl 07470635 ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 163-208 (2022). MSC: 60J68 60F15 60F25 PDF BibTeX XML Cite \textit{Y.-X. Ren} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 19, No. 1, 163--208 (2022; Zbl 07470635) Full Text: arXiv Link OpenURL
Fekete, Dorottya; Palau, Sandra; Pardo, Juan Carlos; Pérez, Jose Luis Backbone decomposition of multitype superprocesses. (English) Zbl 1475.60165 J. Theor. Probab. 34, No. 3, 1149-1178 (2021). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J80 60J68 60E10 PDF BibTeX XML Cite \textit{D. Fekete} et al., J. Theor. Probab. 34, No. 3, 1149--1178 (2021; Zbl 1475.60165) Full Text: DOI arXiv OpenURL
Bonnet, Céline; Méléard, Sylvie Large fluctuations in multi-scale modeling for rest hematopoiesis. (English) Zbl 1470.92038 J. Math. Biol. 82, No. 6, Paper No. 58, 29 p. (2021). MSC: 92C15 PDF BibTeX XML Cite \textit{C. Bonnet} and \textit{S. Méléard}, J. Math. Biol. 82, No. 6, Paper No. 58, 29 p. (2021; Zbl 1470.92038) Full Text: DOI arXiv OpenURL
Palau, Sandra; Yang, Ting Law of large numbers for supercritical superprocesses with non-local branching. (English) Zbl 1471.60132 Stochastic Processes Appl. 130, No. 2, 1074-1102 (2020). MSC: 60J68 60F15 60F25 PDF BibTeX XML Cite \textit{S. Palau} and \textit{T. Yang}, Stochastic Processes Appl. 130, No. 2, 1074--1102 (2020; Zbl 1471.60132) Full Text: DOI arXiv OpenURL
Ma, Rugang Branching interacting particle systems with mutation and related limit theorems. (Chinese. English summary) Zbl 07494807 Sci. Sin., Math. 49, No. 7, 991-1008 (2019). MSC: 60H20 60J80 PDF BibTeX XML Cite \textit{R. Ma}, Sci. Sin., Math. 49, No. 7, 991--1008 (2019; Zbl 07494807) Full Text: DOI OpenURL
Chen, Zhen-Qing; Ren, Yan-Xia; Song, Renming \(L \log L\) criterion for a class of multitype superdiffusions with non-local branching mechanisms. (English) Zbl 1420.60105 Sci. China, Math. 62, No. 8, 1439-1462 (2019). MSC: 60J80 60F15 60J25 PDF BibTeX XML Cite \textit{Z.-Q. Chen} et al., Sci. China, Math. 62, No. 8, 1439--1462 (2019; Zbl 1420.60105) Full Text: DOI arXiv OpenURL
Ren, Yan-Xia; Song, Renming; Zhang, Rui Williams decomposition for superprocesses. (English) Zbl 1387.60118 Electron. J. Probab. 23, Paper No. 23, 33 p. (2018). MSC: 60J25 60G55 60J80 PDF BibTeX XML Cite \textit{Y.-X. Ren} et al., Electron. J. Probab. 23, Paper No. 23, 33 p. (2018; Zbl 1387.60118) Full Text: DOI arXiv Euclid OpenURL
Kyprianou, Andreas E.; Palau, Sandra; Ren, Yan-Xia Almost sure growth of supercritical multi-type continuous-state branching process. (English) Zbl 1390.60314 ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 1, 409-428 (2018). MSC: 60J80 60J68 PDF BibTeX XML Cite \textit{A. E. Kyprianou} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 15, No. 1, 409--428 (2018; Zbl 1390.60314) Full Text: arXiv Link OpenURL
Grosjean, Nicolas; Huillet, Thierry Additional aspects of the generalized linear-fractional branching process. (English) Zbl 1384.60092 Ann. Inst. Stat. Math. 69, No. 5, 1075-1097 (2017). Reviewer: Yuehua Wu (Toronto) MSC: 60J80 60G22 PDF BibTeX XML Cite \textit{N. Grosjean} and \textit{T. Huillet}, Ann. Inst. Stat. Math. 69, No. 5, 1075--1097 (2017; Zbl 1384.60092) Full Text: DOI arXiv OpenURL
Duhalde, Xan; Duquesne, Thomas Exact packing measure of the range of \(\psi\)-super Brownian motions. (English) Zbl 1362.60070 Probab. Theory Relat. Fields 167, No. 1-2, 201-252 (2017). Reviewer: Martynas Manstavičius (Vilnius) MSC: 60J68 60J65 60G57 60J80 28A78 PDF BibTeX XML Cite \textit{X. Duhalde} and \textit{T. Duquesne}, Probab. Theory Relat. Fields 167, No. 1--2, 201--252 (2017; Zbl 1362.60070) Full Text: DOI arXiv OpenURL
Eckhoff, Maren; Kyprianou, Andreas E.; Winkel, Matthias Spines, skeletons and the strong law of large numbers for superdiffusions. (English) Zbl 1330.60052 Ann. Probab. 43, No. 5, 2545-2610 (2015). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60F15 60J68 60J60 60J80 PDF BibTeX XML Cite \textit{M. Eckhoff} et al., Ann. Probab. 43, No. 5, 2545--2610 (2015; Zbl 1330.60052) Full Text: DOI arXiv Euclid OpenURL
Aïdékon, E.; Berestycki, J.; Brunet, É.; Shi, Z. Branching Brownian motion seen from its tip. (English) Zbl 1284.60154 Probab. Theory Relat. Fields 157, No. 1-2, 405-451 (2013). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60J80 60G70 PDF BibTeX XML Cite \textit{E. Aïdékon} et al., Probab. Theory Relat. Fields 157, No. 1--2, 405--451 (2013; Zbl 1284.60154) Full Text: DOI arXiv OpenURL
He, Xin Lebesgue approximation of \((2,\beta )\)-superprocesses. (English) Zbl 1263.60075 Stochastic Processes Appl. 123, No. 5, 1802-1819 (2013). MSC: 60J68 PDF BibTeX XML Cite \textit{X. He}, Stochastic Processes Appl. 123, No. 5, 1802--1819 (2013; Zbl 1263.60075) Full Text: DOI arXiv OpenURL
Chen, Zhen-Qing; Wang, Hao; Xiong, Jie Interacting superprocesses with discontinuous spatial motion. (English) Zbl 1255.60149 Forum Math. 24, No. 6, 1183-1223 (2012). MSC: 60J68 60K37 60G52 60J80 PDF BibTeX XML Cite \textit{Z.-Q. Chen} et al., Forum Math. 24, No. 6, 1183--1223 (2012; Zbl 1255.60149) Full Text: DOI OpenURL
Zoia, Andrea; Dumonteil, Eric; Mazzolo, Alain; Mohamed, Sameh Branching exponential flights: travelled lengths and collision statistics. (English) Zbl 1253.82043 J. Phys. A, Math. Theor. 45, No. 42, Article ID 425002, 19 p. (2012). MSC: 82B41 82D75 60H15 82C31 35Q82 60J80 PDF BibTeX XML Cite \textit{A. Zoia} et al., J. Phys. A, Math. Theor. 45, No. 42, Article ID 425002, 19 p. (2012; Zbl 1253.82043) Full Text: DOI arXiv OpenURL
Kyprianou, A. E.; Liu, R.-L.; Murillo-Salas, A.; Ren, Y.-X. Supercritical super-Brownian motion with a general branching mechanism and travelling waves. (English. French summary) Zbl 1267.60094 Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 3, 661-687 (2012). Reviewer: Isamu Dôku (Saitama) MSC: 60J68 60J80 60E10 PDF BibTeX XML Cite \textit{A. E. Kyprianou} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 48, No. 3, 661--687 (2012; Zbl 1267.60094) Full Text: DOI arXiv Euclid OpenURL
He, Hui; Luan, Nana A martingale transformation for superprocesses. (English) Zbl 1251.60063 Stat. Probab. Lett. 82, No. 6, 1082-1087 (2012). Reviewer: Stavros Vakeroudis (Paris) MSC: 60J68 60G44 60J80 60G57 PDF BibTeX XML Cite \textit{H. He} and \textit{N. Luan}, Stat. Probab. Lett. 82, No. 6, 1082--1087 (2012; Zbl 1251.60063) Full Text: DOI OpenURL
Bertoin, Jean; Fontbona, Joaquin; Martínez, Servet On prolific individuals in a supercritical continuous-state branching process. (English) Zbl 1154.60066 J. Appl. Probab. 45, No. 3, 714-726 (2008). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J80 60E10 PDF BibTeX XML Cite \textit{J. Bertoin} et al., J. Appl. Probab. 45, No. 3, 714--726 (2008; Zbl 1154.60066) Full Text: DOI OpenURL
Ispány, M.; Pap, G.; van Zuijlen, M. C. A. Critical branching mechanisms with immigration and Ornstein-Uhlenbeck type diffusions. (English) Zbl 1120.60308 Acta Sci. Math. 71, No. 3-4, 821-850 (2005). MSC: 60J80 60J60 PDF BibTeX XML Cite \textit{M. Ispány} et al., Acta Sci. Math. 71, No. 3--4, 821--850 (2005; Zbl 1120.60308) OpenURL
Leandre, Remi Galton-Watson tree and branching loops. (English) Zbl 1078.60067 Mladenov, Ivaïlo M.(ed.) et al., Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 3–10, 2004. Sofia: Bulgarian Academy of Sciences (ISBN 954-84952-9-5/pbk). 276-283 (2005). Reviewer: Aleksander Iksanov (Kiev) MSC: 60J80 PDF BibTeX XML Cite \textit{R. Leandre}, in: Proceedings of the 6th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 3--10, 2004. Sofia: Bulgarian Academy of Sciences. 276--283 (2005; Zbl 1078.60067) OpenURL
Yan, Guojun; Ma, Jianguo Asymptotic behavior of super Brownian motion. (English) Zbl 1006.60085 Chin. Q. J. Math. 17, No. 3, 9-17 (2002). MSC: 60J80 PDF BibTeX XML Cite \textit{G. Yan} and \textit{J. Ma}, Chin. Q. J. Math. 17, No. 3, 9--17 (2002; Zbl 1006.60085) OpenURL
Fan, Xiaoming Two limit theorems fo D-W superprocesses. (Chinese. English summary) Zbl 0997.60094 Acta Math. Sci., Ser. A, Chin. Ed. 22, No. 1, 107-114 (2002). MSC: 60J80 PDF BibTeX XML Cite \textit{X. Fan}, Acta Math. Sci., Ser. A, Chin. Ed. 22, No. 1, 107--114 (2002; Zbl 0997.60094) OpenURL
Noble, John M.; Thönnes, Elke Competition systems in a random environment: A convergence result. (English) Zbl 1003.60093 Stochastic Anal. Appl. 19, No. 6, 945-982 (2001). Reviewer: Anatoliy V.Swishchuk (Toronto) MSC: 60K37 60H15 60J80 60J85 PDF BibTeX XML Cite \textit{J. M. Noble} and \textit{E. Thönnes}, Stochastic Anal. Appl. 19, No. 6, 945--982 (2001; Zbl 1003.60093) Full Text: DOI OpenURL
Bose, A.; Kaj, I. A scaling limit process for the age-reproduction structure in a Markov population. (English) Zbl 0966.60070 Markov Process. Relat. Fields 6, No. 3, 397-428 (2000). Reviewer: Charles J.Mode (Philadelphia) MSC: 60J25 60J80 60G57 PDF BibTeX XML Cite \textit{A. Bose} and \textit{I. Kaj}, Markov Process. Relat. Fields 6, No. 3, 397--428 (2000; Zbl 0966.60070) OpenURL
Guo, Junyi; Wu, Rong The behavior of super-Brownian motion near extinction. (Chinese. English summary) Zbl 1007.60093 Acta Math. Sin. 41, No. 3, 467-470 (1998). MSC: 60J80 60G17 60J65 PDF BibTeX XML Cite \textit{J. Guo} and \textit{R. Wu}, Acta Math. Sin. 41, No. 3, 467--470 (1998; Zbl 1007.60093) OpenURL
Le Gall, Jean-François; Le Jan, Yves Branching processes in Lévy processes: Laplace functionals of snakes and superprocesses. (English) Zbl 0945.60090 Ann. Probab. 26, No. 4, 1407-1432 (1998). Reviewer: L.G.Gorostiza (Mexico City) MSC: 60J80 60G57 PDF BibTeX XML Cite \textit{J.-F. Le Gall} and \textit{Y. Le Jan}, Ann. Probab. 26, No. 4, 1407--1432 (1998; Zbl 0945.60090) Full Text: DOI OpenURL
Guo, Junyi; Wu, Rong The behavior of super-Brownian motion near extinction. (English) Zbl 0915.60078 Acta Math. Sin., New Ser. 14, No. 3, 315-320 (1998). MSC: 60J80 60J65 60G17 PDF BibTeX XML Cite \textit{J. Guo} and \textit{R. Wu}, Acta Math. Sin., New Ser. 14, No. 3, 315--320 (1998; Zbl 0915.60078) Full Text: DOI OpenURL
Watanabe, Shinzo Branching diffusions (superdiffusions) and random snakes. (English) Zbl 1010.60073 Kono, N. (ed.) et al., Trends in probability and related analysis. Proceedings of SAP ’96, National Taiwan Univ., Taipei, Taiwan, November 18-23, 1996. Singapore: World Scientific. 289-304 (1997). Reviewer: Messoud Efendiev (Berlin) MSC: 60J60 60G57 60J80 PDF BibTeX XML Cite \textit{S. Watanabe}, in: Trends in probability and related analysis. Proceedings of SAP '96, National Taiwan Univ., Taipei, Taiwan, November 18--23, 1996. Singapore: World Scientific. 289--304 (1997; Zbl 1010.60073) OpenURL
Sheu, Yuan-Chung Lifetime and compactness of range super-Brownian motion with a general branching mechanism. (English) Zbl 0911.60060 Stochastic Processes Appl. 70, No. 1, 129-141 (1997). MSC: 60J60 60J80 60J25 31C45 35J60 35J65 PDF BibTeX XML Cite \textit{Y.-C. Sheu}, Stochastic Processes Appl. 70, No. 1, 129--141 (1997; Zbl 0911.60060) Full Text: DOI OpenURL
Guo, Junyi Path properties of super-Brownian motion with more general branching mechanism. (Chinese) Zbl 0920.60011 Chin. Ann. Math., Ser. A 18, No. 6, 673-686 (1997). Reviewer: Renming Song (Urbana) MSC: 60F15 60G17 60J80 35G10 35K25 PDF BibTeX XML Cite \textit{J. Guo}, Chin. Ann. Math., Ser. A 18, No. 6, 673--686 (1997; Zbl 0920.60011) OpenURL
Šikić, Hrvoje Measures on rays. (English) Zbl 0879.60082 Grazer Math. Ber. 328, 77-96 (1996). MSC: 60J80 60G57 PDF BibTeX XML Cite \textit{H. Šikić}, Grazer Math. Ber. 328, 77--96 (1996; Zbl 0879.60082) OpenURL
Dynkin, Eugene B. An introduction to branching measure-valued processes. (English) Zbl 0824.60001 CRM Monograph Series. 6. Providence, RI: American Mathematical Society (AMS). x, 134 p. (1994). Reviewer: K.Fleischmann (Berlin) MSC: 60-02 60J80 60J25 60G57 PDF BibTeX XML Cite \textit{E. B. Dynkin}, An introduction to branching measure-valued processes. Providence, RI: American Mathematical Society (1994; Zbl 0824.60001) OpenURL
Gani, J. A note on a stochastic model for the incubation of transfusion-associated AIDS. (English) Zbl 0739.92007 Discrete Math. 92, No. 1-3, 89-94 (1991). MSC: 92C60 62P10 60J85 PDF BibTeX XML Cite \textit{J. Gani}, Discrete Math. 92, No. 1--3, 89--94 (1991; Zbl 0739.92007) Full Text: DOI OpenURL
Le Gall, Jean-François Brownian excursions, trees and measure-valued branching processes. (English) Zbl 0753.60078 Ann. Probab. 19, No. 4, 1399-1439 (1991). Reviewer: D.A.Dawson (Ottawa) MSC: 60J80 60J65 60J60 60G57 60G17 60J55 PDF BibTeX XML Cite \textit{J.-F. Le Gall}, Ann. Probab. 19, No. 4, 1399--1439 (1991; Zbl 0753.60078) Full Text: DOI OpenURL
Edelstein-Keshet, Leah; Ermentrout, Bard Models for branching networks in two dimensions. (English) Zbl 0685.92001 SIAM J. Appl. Math. 49, No. 4, 1136-1157 (1989). Reviewer: T.V.Kostova-Vassilevska MSC: 92B05 92Cxx PDF BibTeX XML Cite \textit{L. Edelstein-Keshet} and \textit{B. Ermentrout}, SIAM J. Appl. Math. 49, No. 4, 1136--1157 (1989; Zbl 0685.92001) Full Text: DOI OpenURL
Griffith, William S.; Kryscio, Richard J.; Purdue, Peter A stochastic model of particle shattering. (English) Zbl 0528.60084 Adv. Appl. Probab. 16, 70-87 (1984). MSC: 60J85 PDF BibTeX XML Cite \textit{W. S. Griffith} et al., Adv. Appl. Probab. 16, 70--87 (1984; Zbl 0528.60084) Full Text: DOI OpenURL
Bojko, R. V. Limit theorems for a certain branching process with variable regime with immigration. (Russian) Zbl 0504.60081 Ukr. Mat. Zh. 34, 488-492 (1982). MSC: 60J80 60F05 PDF BibTeX XML Cite \textit{R. V. Bojko}, Ukr. Mat. Zh. 34, 488--492 (1982; Zbl 0504.60081) OpenURL