Vatutin, Vladimir A.; Dyakonova, Elena E. Critical branching processes evolving in a unfavorable random environment. (English. Russian original) Zbl 07908437 Discrete Math. Appl. 34, No. 3, 175-186 (2024); translation from Diskretn. Mat. 34, No. 3, 20-33 (2022). MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Discrete Math. Appl. 34, No. 3, 175--186 (2024; Zbl 07908437); translation from Diskretn. Mat. 34, No. 3, 20--33 (2022) Full Text: DOI arXiv
Vatutin, Vladimir; Dyakonova, Elena On the prospective minimum of the random walk conditioned to stay non-negative. arXiv:2409.02215 Preprint, arXiv:2409.02215 [math.PR] (2024). MSC: 60G50 60F17 60E07 BibTeX Cite \textit{V. Vatutin} and \textit{E. Dyakonova}, ``On the prospective minimum of the random walk conditioned to stay non-negative'', Preprint, arXiv:2409.02215 [math.PR] (2024) Full Text: arXiv OA License
Vatutin, Vladimir A.; Dong, Congzao; Dyakonova, Elena E. Random walks conditioned to stay nonnegative and branching processes in nonfavorable random environment. (English. Russian original) Zbl 1535.60078 Sb. Math. 214, No. 11, 1501-1533 (2023); translation from Mat. Sb. 214, No. 11, 3-36 (2023). MSC: 60G50 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin} et al., Sb. Math. 214, No. 11, 1501--1533 (2023; Zbl 1535.60078); translation from Mat. Sb. 214, No. 11, 3--36 (2023) Full Text: DOI arXiv MNR
Vatutin, V. A.; Dyakonova, E. E. Population size of a critical branching process evolving in an unfavorable environment. (English. Russian original) Zbl 1527.60069 Theory Probab. Appl. 68, No. 3, 411-430 (2023); translation from Teor. Veroyatn. Primen. 68, No. 3, 509-531 (2023). MSC: 60J80 60F17 60G50 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Theory Probab. Appl. 68, No. 3, 411--430 (2023; Zbl 1527.60069); translation from Teor. Veroyatn. Primen. 68, No. 3, 509--531 (2023) Full Text: DOI
Vatutin, V. A. On the closeness of distribution of some random variable to the equiprobable one. (Russian. English summary) Zbl 1519.60025 Mat. Vopr. Kriptografii 14, No. 1, 5-14 (2023). MSC: 60E05 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Mat. Vopr. Kriptografii 14, No. 1, 5--14 (2023; Zbl 1519.60025) Full Text: DOI MNR
Chebotarev, V. I.; Borisov, I. S.; Topchii, V. A.; Vatutin, V. A.; Alimov, A. R. Sergey Viktorovich Nagaev (on his 90th birthday). (English. Russian original) Zbl 1516.01026 Theory Probab. Appl. 68, No. 2, 305-307 (2023); translation from Teor. Veroyatn. Primen. 68, No. 2, 368-370 (2023). MSC: 01A70 PDFBibTeX XMLCite \textit{V. I. Chebotarev} et al., Theory Probab. Appl. 68, No. 2, 305--307 (2023; Zbl 1516.01026); translation from Teor. Veroyatn. Primen. 68, No. 2, 368--370 (2023) Full Text: DOI
Vatutin, V. A.; D’yakonova, E. E. Atypical population size in a two-type decomposable branching process. (English. Russian original) Zbl 1507.60112 Theory Probab. Appl. 67, No. 4, 516-534 (2023); translation from Teor. Veroyatn. Primen. 67, No. 4, 516-534 (2022). MSC: 60J80 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. D'yakonova}, Theory Probab. Appl. 67, No. 4, 516--534 (2023; Zbl 1507.60112); translation from Teor. Veroyatn. Primen. 67, No. 4, 516--534 (2022) Full Text: DOI
Smadi, Charline; Vatutin, Vladimir Reduced processes evolving in a mixed environment. (English) Zbl 1507.60111 Stoch. Models 39, No. 1, 5-20 (2023). MSC: 60J80 92D15 92D25 PDFBibTeX XMLCite \textit{C. Smadi} and \textit{V. Vatutin}, Stoch. Models 39, No. 1, 5--20 (2023; Zbl 1507.60111) Full Text: DOI
Dong, Congzao; Dyakonova, Elena; Vatutin, Vladimir Some functionals for random walks and critical branching processes in extreme random environment. arXiv:2311.10445 Preprint, arXiv:2311.10445 [math.PR] (2023). MSC: 60G50 60J80 60K37 BibTeX Cite \textit{C. Dong} et al., ``Some functionals for random walks and critical branching processes in extreme random environment'', Preprint, arXiv:2311.10445 [math.PR] (2023) Full Text: arXiv OA License
Vatutin, V. A.; Smadi, C. Critical branching processes in a random environment with immigration: the size of the only surviving family. (English. Russian original) Zbl 1506.60098 Proc. Steklov Inst. Math. 316, 336-355 (2022); translation from Tr. Mat. Inst. Steklova 316, 355-375 (2022). Reviewer: Bastien Mallein (Paris) MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{C. Smadi}, Proc. Steklov Inst. Math. 316, 336--355 (2022; Zbl 1506.60098); translation from Tr. Mat. Inst. Steklova 316, 355--375 (2022) Full Text: DOI arXiv
Vatutin, Vladimir A.; Dyakonova, Elena E. Multitype branching processes in random environment. (English. Russian original) Zbl 1487.60159 Russ. Math. Surv. 76, No. 6, 1019-1063 (2021); translation from Usp. Mat. Nauk 76, No. 6, 71-118 (2021). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 60J80 60G50 60F17 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Russ. Math. Surv. 76, No. 6, 1019--1063 (2021; Zbl 1487.60159); translation from Usp. Mat. Nauk 76, No. 6, 71--118 (2021) Full Text: DOI
Vatutin, Vladimir A.; Dyakonova, Elena E. Properties of multitype subcritical branching processes in random environment. (English. Russian original) Zbl 1490.60233 Discrete Math. Appl. 31, No. 5, 367-382 (2021); translation from Diskretn. Mat. 32, No. 3, 3-23 (2020). MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Discrete Math. Appl. 31, No. 5, 367--382 (2021; Zbl 1490.60233); translation from Diskretn. Mat. 32, No. 3, 3--23 (2020) Full Text: DOI arXiv
Smadi, Charline; Vatutin, Vladimir Critical branching processes in random environment with immigration: survival of a single family. (English) Zbl 1473.60125 Extremes 24, No. 3, 433-460 (2021). MSC: 60J80 60G50 PDFBibTeX XMLCite \textit{C. Smadi} and \textit{V. Vatutin}, Extremes 24, No. 3, 433--460 (2021; Zbl 1473.60125) Full Text: DOI arXiv
Vatutin, Vladimir A.; Dyakonova, Elena E. Multitype weakly subcritical branching processes in random environment. (English. Russian original) Zbl 1468.60103 Discrete Math. Appl. 31, No. 3, 207-222 (2021); translation from Diskretn. Mat. 31, No. 3, 26-46 (2019). MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Discrete Math. Appl. 31, No. 3, 207--222 (2021; Zbl 1468.60103); translation from Diskretn. Mat. 31, No. 3, 26--46 (2019) Full Text: DOI
Li, Doudou; Vatutin, Vladimir; Zhang, Mei Subcritical branching processes in random environment with immigration stopped at zero. (English) Zbl 1483.60128 J. Theor. Probab. 34, No. 2, 874-896 (2021). MSC: 60J80 60F99 PDFBibTeX XMLCite \textit{D. Li} et al., J. Theor. Probab. 34, No. 2, 874--896 (2021; Zbl 1483.60128) Full Text: DOI arXiv
Vatutin, V. A.; Dyakonova, E. E.; Topchii, V. A. Critical Galton-Watson branching processes with a countable set of types and infinite second moments. (English. Russian original) Zbl 1470.60236 Sb. Math. 212, No. 1, 1-24 (2021); translation from Mat. Sb. 212, No. 1, 3-27 (2021). MSC: 60J80 60B12 60J10 PDFBibTeX XMLCite \textit{V. A. Vatutin} et al., Sb. Math. 212, No. 1, 1--24 (2021; Zbl 1470.60236); translation from Mat. Sb. 212, No. 1, 3--27 (2021) Full Text: DOI arXiv
Vatutin, V. A.; Dyakonova, E. E. Subcritical branching processes in random environment with immigration: survival of a single family. (English. Russian original) Zbl 1456.60228 Theory Probab. Appl. 65, No. 4, 527-544 (2021); translation from Teor. Veroyatn. Primen. 65, No. 4, 671-692 (2020). MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Theory Probab. Appl. 65, No. 4, 527--544 (2021; Zbl 1456.60228); translation from Teor. Veroyatn. Primen. 65, No. 4, 671--692 (2020) Full Text: DOI arXiv
Vatutin, V. A. Asymptotic properties of the number of inversions in a random forest. (Russian. English summary) Zbl 1473.05276 Mat. Vopr. Kriptografii 11, No. 4, 7-22 (2020). MSC: 05C78 94A60 05C05 60F05 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Mat. Vopr. Kriptografii 11, No. 4, 7--22 (2020; Zbl 1473.05276) Full Text: DOI MNR
Dong, C.; Smadi, C.; Vatutin, V. A. Critical branching processes in random environment and Cauchy domain of attraction. (English) Zbl 1469.60270 ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 2, 877-900 (2020). MSC: 60J80 60G50 PDFBibTeX XMLCite \textit{C. Dong} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 17, No. 2, 877--900 (2020; Zbl 1469.60270) Full Text: arXiv Link
Vatutin, V. A.; D’yakonova, E. E. The survival probability for a class of multitype subcritical branching processes in random environment. (English. Russian original) Zbl 1461.60070 Math. Notes 107, No. 2, 189-200 (2020); translation from Mat. Zametki 107, No. 2, 163-177 (2020). Reviewer: Hans Daduna (Hamburg) MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. D'yakonova}, Math. Notes 107, No. 2, 189--200 (2020; Zbl 1461.60070); translation from Mat. Zametki 107, No. 2, 163--177 (2020) Full Text: DOI arXiv
Dyakonova, Elena; Li, Doudou; Vatutin, Vladimir; Zhang, Mei Branching processes in a random environment with immigration stopped at zero. (English) Zbl 1434.60240 J. Appl. Probab. 57, No. 1, 237-249 (2020). MSC: 60J80 PDFBibTeX XMLCite \textit{E. Dyakonova} et al., J. Appl. Probab. 57, No. 1, 237--249 (2020; Zbl 1434.60240) Full Text: DOI arXiv
Vatutin, V. A.; Dyakonova, E. E. The initial evolution stage of a weakly subcritical branching process in a random environment. (English. Russian original) Zbl 1432.60097 Theory Probab. Appl. 64, No. 4, 535-552 (2020); translation from Teor. Veroyatn. Primen. 64, No. 4, 671-691 (2019). MSC: 60K37 60F17 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Theory Probab. Appl. 64, No. 4, 535--552 (2020; Zbl 1432.60097); translation from Teor. Veroyatn. Primen. 64, No. 4, 671--691 (2019) Full Text: DOI
Vatutin, V. A. Asymptotic properties of the inversion number in colored trees. (Russian. English summary) Zbl 1473.05056 Mat. Vopr. Kriptografii 10, No. 4, 9-24 (2019). MSC: 05C05 05C15 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Mat. Vopr. Kriptografii 10, No. 4, 9--24 (2019; Zbl 1473.05056) Full Text: DOI MNR
Hong, Wenming; Liu, Minzhi; Vatutin, Vladimir Limit theorems for supercritical MBPRE with linear fractional offspring distributions. (English) Zbl 1423.60129 Markov Process. Relat. Fields 25, No. 1, 1-31 (2019). MSC: 60J80 60G50 PDFBibTeX XMLCite \textit{W. Hong} et al., Markov Process. Relat. Fields 25, No. 1, 1--31 (2019; Zbl 1423.60129) Full Text: arXiv
Liu, M.; Vatutin, V. Reduced critical branching processes for small populations. (English. Russian original) Zbl 1442.60087 Theory Probab. Appl. 63, No. 4, 648-656 (2019); translation from Teor. Veroyatn. Primen. 63, No. 4, 795-807 (2018). MSC: 60J80 60J90 60F05 PDFBibTeX XMLCite \textit{M. Liu} and \textit{V. Vatutin}, Theory Probab. Appl. 63, No. 4, 648--656 (2019; Zbl 1442.60087); translation from Teor. Veroyatn. Primen. 63, No. 4, 795--807 (2018) Full Text: DOI arXiv
Vatutin, V. A. Conditional limit theorem for the near critical branching processes with final type of particles. (Russian. English summary) Zbl 1475.60170 Mat. Vopr. Kriptografii 9, No. 4, 53-72 (2018). MSC: 60J80 94A60 68P25 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Mat. Vopr. Kriptografii 9, No. 4, 53--72 (2018; Zbl 1475.60170) Full Text: DOI MNR
Vatutin, Vladimir; Wachtel, Vitali Multi-type subcritical branching processes in a random environment. (English) Zbl 1431.60103 Adv. Appl. Probab. 50, No. A, 281-289 (2018). MSC: 60J80 60F99 PDFBibTeX XMLCite \textit{V. Vatutin} and \textit{V. Wachtel}, Adv. Appl. Probab. 50, No. A, 281--289 (2018; Zbl 1431.60103) Full Text: DOI arXiv
Asmussen, Søren (ed.); Klebaner, Fima (ed.); Nerman, Olle (ed.); Vatutin, Vladimir (ed.) Preface. (English) Zbl 1431.01031 Adv. Appl. Probab. 50, No. A, vii-xiv (2018). MSC: 01A70 PDFBibTeX XMLCite \textit{S. Asmussen} (ed.) et al., Adv. Appl. Probab. 50, No. A, vii-xiv (2018; Zbl 1431.01031) Full Text: DOI
Vatutin, Vladimir A.; Hong, Wenming; Ji, Yao Reduced critical Bellman-Harris branching processes for small populations. (English. Russian original) Zbl 1420.60112 Discrete Math. Appl. 28, No. 5, 319-330 (2018); translation from Diskretn. Mat. 30, No. 3, 25-39 (2018). MSC: 60J80 60J85 PDFBibTeX XMLCite \textit{V. A. Vatutin} et al., Discrete Math. Appl. 28, No. 5, 319--330 (2018; Zbl 1420.60112); translation from Diskretn. Mat. 30, No. 3, 25--39 (2018) Full Text: DOI arXiv
Vatutin, V. A.; Dyakonova, E. E. Multitype branching processes in random environment: probability of survival for the critical case. (English. Russian original) Zbl 1405.60131 Theory Probab. Appl. 62, No. 4, 506-521 (2018); translation from Teor. Veroyatn. Primen. 62, No. 4, 634-653 (2017). MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Theory Probab. Appl. 62, No. 4, 506--521 (2018; Zbl 1405.60131); translation from Teor. Veroyatn. Primen. 62, No. 4, 634--653 (2017) Full Text: DOI arXiv
Vatutin, Vladimir A.; Dyakonova, Elena E. Decomposable branching processes with two types of particles. (English. Russian original) Zbl 1397.60115 Discrete Math. Appl. 28, No. 2, 119-130 (2018); translation from Diskretn. Mat. 30, No. 1, 3-18 (2018). MSC: 60J80 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Discrete Math. Appl. 28, No. 2, 119--130 (2018; Zbl 1397.60115); translation from Diskretn. Mat. 30, No. 1, 3--18 (2018) Full Text: DOI
Vatutin, V. A.; Dyakonova, E. E. Branching processes in random environment with sibling dependence. arXiv:1812.10304 Preprint, arXiv:1812.10304 [math.PR] (2018). MSC: 60J80 60F25 60K37 BibTeX Cite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, ``Branching processes in random environment with sibling dependence'', Preprint, arXiv:1812.10304 [math.PR] (2018) Full Text: arXiv OA License
Vatutin, Vladimir; Dyakonova, Elena Path to survival for the critical branching processes in a random environment. (English) Zbl 1400.60111 J. Appl. Probab. 54, No. 2, 588-602 (2017). MSC: 60J80 60K37 60G50 60F17 PDFBibTeX XMLCite \textit{V. Vatutin} and \textit{E. Dyakonova}, J. Appl. Probab. 54, No. 2, 588--602 (2017; Zbl 1400.60111) Full Text: DOI arXiv
Vatutin, Vladimir Alekseevich; Topchiĭ, Valentin Alekseevich Moments of multitype critical Bellman-Harris processes in which tails of life-length distributions of particles have different orders. (Russian. English summary) Zbl 1391.60216 Sib. Èlektron. Mat. Izv. 14, 1248-1264 (2017). MSC: 60J80 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{V. A. Topchiĭ}, Sib. Èlektron. Mat. Izv. 14, 1248--1264 (2017; Zbl 1391.60216) Full Text: DOI
Vatutin, V. A.; Dyakonova, E. E. How many families survive for a long time? (English. Russian original) Zbl 1377.60093 Theory Probab. Appl. 61, No. 4, 692-711 (2017); translation from Teor. Veroyatn. Primen. 61, No. 4, 709-732 (2016). MSC: 60K37 60J80 60K35 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Theory Probab. Appl. 61, No. 4, 692--711 (2017; Zbl 1377.60093); translation from Teor. Veroyatn. Primen. 61, No. 4, 709--732 (2016) Full Text: DOI arXiv
Kersting, Götz; Vatutin, Vladimir Discrete time branching processes in random environment. (English) Zbl 1406.60005 Mathematics and Statistics Series. Branching Processes, Branching Random Walks and Branching Particle Fields Set 1. Hoboken, NJ: John Wiley & Sons; London: ISTE (ISBN 978-1-78630-252-6/hbk; 978-1-119-45289-8/ebook). xiv, 286 p. (2017). Link to issue. MSC: 60-02 60J80 60J85 PDFBibTeX XMLCite \textit{G. Kersting} and \textit{V. Vatutin}, Discrete time branching processes in random environment. Hoboken, NJ: John Wiley \& Sons; London: ISTE (2017; Zbl 1406.60005) Full Text: DOI
Vatutin, V. A. A conditional functional limit theorem for decomposable branching processes with two types of particles. (English. Russian original) Zbl 1372.60126 Math. Notes 101, No. 5, 778-789 (2017); translation from Mat. Zametki 101, No. 5, 669-683 (2017). MSC: 60J80 60F17 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Math. Notes 101, No. 5, 778--789 (2017; Zbl 1372.60126); translation from Mat. Zametki 101, No. 5, 669--683 (2017) Full Text: DOI
Bansaye, Vincent; Vatutin, Vladimir On the survival probability for a class of subcritical branching processes in random environment. (English) Zbl 1362.60074 Bernoulli 23, No. 1, 58-88 (2017). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60J80 60K37 60G50 PDFBibTeX XMLCite \textit{V. Bansaye} and \textit{V. Vatutin}, Bernoulli 23, No. 1, 58--88 (2017; Zbl 1362.60074) Full Text: DOI arXiv Euclid
Smadi, C.; Vatutin, V. A. Reduced two-type decomposable critical branching processes with possibly infinite variance. (English) Zbl 1357.92053 Markov Process. Relat. Fields 22, No. 2, 311-358 (2016). MSC: 92D10 92D25 60J80 60F17 60J85 PDFBibTeX XMLCite \textit{C. Smadi} and \textit{V. A. Vatutin}, Markov Process. Relat. Fields 22, No. 2, 311--358 (2016; Zbl 1357.92053) Full Text: arXiv
Vatutin, Vladimir Subcritical branching processes in random environment. (English) Zbl 1354.60103 del Puerto, Inés M. (ed.) et al., Branching processes and their applications. Proceedings of the workshop, WBPA, Badajoz, Spain, April 7–10, 2015. Cham: Springer (ISBN 978-3-319-31639-0/pbk; 978-3-319-31641-3/ebook). Lecture Notes in Statistics 219, 97-115 (2016). MSC: 60J80 60K37 60F17 PDFBibTeX XMLCite \textit{V. Vatutin}, Lect. Notes Stat. 219, 97--115 (2016; Zbl 1354.60103) Full Text: DOI
Vatutin, Vladimir A.; Dyakonova, Elena E. Extinction of decomposable branching processes. (English. Russian original) Zbl 1375.60130 Discrete Math. Appl. 26, No. 3, 183-192 (2016); translation from Diskretn. Mat. 27, No. 4, 26-37 (2015). MSC: 60J80 60K35 60F05 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Discrete Math. Appl. 26, No. 3, 183--192 (2016; Zbl 1375.60130); translation from Diskretn. Mat. 27, No. 4, 26--37 (2015) Full Text: DOI arXiv
Vatutin, V. A.; Zubkov, A. M. In memory of B. A. Sevast’yanov (29.09.1923–30.08.2013). (English. Russian original) Zbl 1332.01061 Theory Probab. Appl. 60, No. 1, 162-171 (2016); translation from Teor. Veroyatn. Primen. 60, No. 1, 151-162 (2015). MSC: 01A70 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{A. M. Zubkov}, Theory Probab. Appl. 60, No. 1, 162--171 (2016; Zbl 1332.01061); translation from Teor. Veroyatn. Primen. 60, No. 1, 151--162 (2015) Full Text: DOI
Vatutin, V. A. The structure of decomposable reduced branching processes. II: Functional limit theorems. (English. Russian original) Zbl 1337.60217 Theory Probab. Appl. 60, No. 1, 103-119 (2016); translation from Teor. Veroyatn. Primen. 60, No. 1, 25-44 (2015). MSC: 60J80 60F17 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Theory Probab. Appl. 60, No. 1, 103--119 (2016; Zbl 1337.60217); translation from Teor. Veroyatn. Primen. 60, No. 1, 25--44 (2015) Full Text: DOI
Topchii, V. A.; Vatutin, V. A.; Iksanov, A. M. Evolution of a two-type Bellman-Harris process generated by a large number of particles. (English) Zbl 1399.60137 PLISKA, Stud. Math. 24, 89-98 (2015). Reviewer: Kosto V. Mitov MSC: 60J80 60E10 60J85 60K05 PDFBibTeX XMLCite \textit{V. A. Topchii} et al., PLISKA, Stud. Math. 24, 89--98 (2015; Zbl 1399.60137) Full Text: Link
Vatutin, V. Scientific and personal life of B. A. Sevastyanov. (English) Zbl 1399.01012 PLISKA, Stud. Math. 24, 5-12 (2015). MSC: 01A70 62-03 PDFBibTeX XMLCite \textit{V. Vatutin}, PLISKA, Stud. Math. 24, 5--12 (2015; Zbl 1399.01012) Full Text: Link
Vatutin, V. A.; Dyakonova, E. E. Decomposable branching processes with a fixed extinction moment. (English. Russian original) Zbl 1330.60107 Proc. Steklov Inst. Math. 290, 103-124 (2015); translation from Tr. Mat. Inst. Steklova 290, 114-135 (2015). MSC: 60J80 60F05 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Proc. Steklov Inst. Math. 290, 103--124 (2015; Zbl 1330.60107); translation from Tr. Mat. Inst. Steklova 290, 114--135 (2015) Full Text: DOI arXiv
Vatutin, V. A. The structure of the decomposable reduced branching processes. I: Finite-dimensional distributions. (English. Russian original) Zbl 1337.60216 Theory Probab. Appl. 59, No. 4, 641-662 (2015); translation from Teor. Veroyatn. Primen. 59, No. 4, 667-692 (2014). MSC: 60J80 60F17 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Theory Probab. Appl. 59, No. 4, 641--662 (2015; Zbl 1337.60216); translation from Teor. Veroyatn. Primen. 59, No. 4, 667--692 (2014) Full Text: DOI
Vatutin, Vladimir; Liu, Quansheng Limit theorems for decomposable branching processes in a random environment. (English) Zbl 1326.60144 J. Appl. Probab. 52, No. 3, 877-893 (2015). MSC: 60K37 60J80 60F17 60J85 PDFBibTeX XMLCite \textit{V. Vatutin} and \textit{Q. Liu}, J. Appl. Probab. 52, No. 3, 877--893 (2015; Zbl 1326.60144) Full Text: DOI arXiv Euclid
Vatutin, Vladimir; Iksanov, Alexander; Topchii, Valentin A two-type Bellman-Harris process initiated by a large number of particles. (English) Zbl 1321.60180 Acta Appl. Math. 138, No. 1, 279-312 (2015). MSC: 60J80 60K05 PDFBibTeX XMLCite \textit{V. Vatutin} et al., Acta Appl. Math. 138, No. 1, 279--312 (2015; Zbl 1321.60180) Full Text: DOI arXiv
Iksanov, A. M.; Marynych, A. V.; Vatutin, V. A. Weak convergence of finite-dimensional distributions of the number of empty boxes in the Bernoulli sieve. (English. Russian original) Zbl 1350.60015 Theory Probab. Appl. 59, No. 1, 87-113 (2015); translation from Teor. Veroyatn. Primen. 59, No. 1, 28-60 (2014). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 60E99 60G50 60K37 60F17 PDFBibTeX XMLCite \textit{A. M. Iksanov} et al., Theory Probab. Appl. 59, No. 1, 87--113 (2015; Zbl 1350.60015); translation from Teor. Veroyatn. Primen. 59, No. 1, 28--60 (2014) Full Text: DOI arXiv
Bansaye, V.; Vatutin, V. Random walk with heavy tail and negative drift conditioned by its minimum and final values. (English) Zbl 1320.60106 Markov Process. Relat. Fields 20, No. 4, 633-652 (2014). MSC: 60G50 60F05 60F17 PDFBibTeX XMLCite \textit{V. Bansaye} and \textit{V. Vatutin}, Markov Process. Relat. Fields 20, No. 4, 633--652 (2014; Zbl 1320.60106) Full Text: arXiv
Denisov, Denis; Vatutin, Vladimir; Wachtel, Vitali Local probabilities for random walks with negative drift conditioned to stay nonnegative. (English) Zbl 1307.60050 Electron. J. Probab. 19, Paper No. 88, 17 p. (2014). MSC: 60G50 60F10 PDFBibTeX XMLCite \textit{D. Denisov} et al., Electron. J. Probab. 19, Paper No. 88, 17 p. (2014; Zbl 1307.60050) Full Text: DOI
Vatutin, V.; Topchii, V. A key renewal theorem for heavy tail distributions with \({\beta\in(0,0.5]}\). (English) Zbl 1316.60134 Theory Probab. Appl. 58, No. 2, 333-342 (2014); translation from Teor. Veroyatn. Primen. 58, No. 2, 387-396 (2013). MSC: 60K05 PDFBibTeX XMLCite \textit{V. Vatutin} and \textit{V. Topchii}, Theory Probab. Appl. 58, No. 2, 333--342 (2014; Zbl 1316.60134); translation from Teor. Veroyatn. Primen. 58, No. 2, 387--396 (2013) Full Text: DOI
Afanasyev, V. I.; Böinghoff, Ch.; Kersting, G.; Vatutin, V. A. Conditional limit theorems for intermediately subcritical branching processes in random environment. (English. French summary) Zbl 1290.60083 Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 2, 602-627 (2014). MSC: 60J80 60K37 60G50 60F17 PDFBibTeX XMLCite \textit{V. I. Afanasyev} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 2, 602--627 (2014; Zbl 1290.60083) Full Text: DOI arXiv Euclid
Vatutin, Vladimir Macroscopic and microscopic structures of the family tree for decomposable critical branching processes. arXiv:1402.6819 Preprint, arXiv:1402.6819 [math.PR] (2014). MSC: 60J80 60F17 60J85 BibTeX Cite \textit{V. Vatutin}, ``Macroscopic and microscopic structures of the family tree for decomposable critical branching processes'', Preprint, arXiv:1402.6819 [math.PR] (2014) Full Text: arXiv OA License
Vatutin, V. A.; Topchii, V. A. Critical Bellman-Harris branching processes with long-living particles. (English. Russian original) Zbl 1296.60237 Proc. Steklov Inst. Math. 282, 243-272 (2013); translation from Tr. Mat. Inst. Steklova 282, 257-287 (2013). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J80 60F99 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{V. A. Topchii}, Proc. Steklov Inst. Math. 282, 243--272 (2013; Zbl 1296.60237); translation from Tr. Mat. Inst. Steklova 282, 257--287 (2013) Full Text: DOI
Vatutin, V. A.; Dyakonova, E. E.; Sagitov, S. Evolution of branching processes in a random environment. (English. Russian original) Zbl 1290.60086 Proc. Steklov Inst. Math. 282, 220-242 (2013); translation from Tr. Mat. Inst. Steklova 282, 231-256 (2013). Reviewer: P. R. Parthasarathy (Chennai) MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin} et al., Proc. Steklov Inst. Math. 282, 220--242 (2013; Zbl 1290.60086); translation from Tr. Mat. Inst. Steklova 282, 231--256 (2013) Full Text: DOI arXiv
Afanasyev, V. I.; Chibisov, D. M.; Chistyakov, V. P.; Dyakonova, E. E.; Kolchin, V. F.; Mikhailov, V. G.; Shiryaev, A. N.; Vatutin, V. A.; Zubkov, A. M. In memory of Boris Aleksandrovich Sevastyanov. (English. Russian original) Zbl 1284.01045 Proc. Steklov Inst. Math. 282, 1-3 (2013); translation from Tr. Mat. Inst. Steklova 282, 7-9 (2013). MSC: 01A70 60-03 PDFBibTeX XMLCite \textit{V. I. Afanasyev} et al., Proc. Steklov Inst. Math. 282, 1--3 (2013; Zbl 1284.01045); translation from Tr. Mat. Inst. Steklova 282, 7--9 (2013) Full Text: DOI
Afanasyev, V. I. [Vatutin, V. I.] About time of reaching a high level by a random walk in a random environment. (English. Russian original) Zbl 1284.60087 Theory Probab. Appl. 57, No. 4, 547-567 (2013); translation from Teor. Veroyatn. Primen. 57, No. 4, 625-648 (2012). MSC: 60G50 60K37 60F17 60J80 PDFBibTeX XMLCite \textit{V. I. Afanasyev}, Theory Probab. Appl. 57, No. 4, 547--567 (2013; Zbl 1284.60087); translation from Teor. Veroyatn. Primen. 57, No. 4, 625--648 (2012) Full Text: DOI
Sagitov, S.; Mehlig, B.; Jagers, P.; Vatutin, V. Evolutionary branching in a stochastic population model with discrete mutational steps. (English) Zbl 1275.92080 Theor. Popul. Biol. 83, 145-154 (2013). MSC: 92D15 60J80 PDFBibTeX XMLCite \textit{S. Sagitov} et al., Theor. Popul. Biol. 83, 145--154 (2013; Zbl 1275.92080) Full Text: DOI arXiv
Vatutin, V. A.; Liu, Q. Critical branching process with two types of particles evolving in asynchronous random environments. (English. Russian original) Zbl 1286.60103 Theory Probab. Appl. 57, No. 2, 279-305 (2013); translation from Teor. Veroyatn. Primen. 57, No. 2, 225-256 (2012). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 60K37 60J80 60G50 60F05 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{Q. Liu}, Theory Probab. Appl. 57, No. 2, 279--305 (2013; Zbl 1286.60103); translation from Teor. Veroyatn. Primen. 57, No. 2, 225--256 (2012) Full Text: DOI
Vatutin, V. A. Total population size in critical branching processes in a random environment. (English. Russian original) Zbl 1288.60130 Math. Notes 91, No. 1, 12-21 (2012); translation from Mat. Zametki 91, No. 1, 12-23 (2012). MSC: 60K37 60J80 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Math. Notes 91, No. 1, 12--21 (2012; Zbl 1288.60130); translation from Mat. Zametki 91, No. 1, 12--23 (2012) Full Text: DOI
Hu, Y.; Topchii, V. A.; Vatutin, V. A. Branching random walk in \(\mathbb{Z}^{4}\) with branching at the origin only. (English. Russian original) Zbl 1272.60061 Theory Probab. Appl. 56, No. 2, 193-212 (2012); translation from Teor. Veroyatn. Primen. 56, No. 2, 224-247 (2011). Reviewer: Alexander I. Zejfman (Vologda) MSC: 60J80 60G50 PDFBibTeX XMLCite \textit{Y. Hu} et al., Theory Probab. Appl. 56, No. 2, 193--212 (2012; Zbl 1272.60061); translation from Teor. Veroyatn. Primen. 56, No. 2, 224--247 (2011) Full Text: DOI arXiv
Vatutin, Vladimir; Dyakonova, Elena; Jagers, Peter; Sagitov, Serik A decomposable branching process in a Markovian environment. (English) Zbl 1411.60126 Int. J. Stoch. Anal. 2012, Article ID 694285, 24 p. (2012). MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. Vatutin} et al., Int. J. Stoch. Anal. 2012, Article ID 694285, 24 p. (2012; Zbl 1411.60126) Full Text: DOI arXiv
Vatutin, Vladimir; Zheng, Xinghua Subcritical branching processes in a random environment without the Cramer condition. (English) Zbl 1251.60066 Stochastic Processes Appl. 122, No. 7, 2594-2609 (2012). Reviewer: Aleksander Iksanov (Kiev) MSC: 60J80 60K37 60G50 60F17 PDFBibTeX XMLCite \textit{V. Vatutin} and \textit{X. Zheng}, Stochastic Processes Appl. 122, No. 7, 2594--2609 (2012; Zbl 1251.60066) Full Text: DOI arXiv
Klebaner, Fima C.; Sagitov, Serik; Vatutin, Vladimir A.; Haccou, Patsy; Jagers, Peter Stochasticity in the adaptive dynamics of evolution: the bare bones. (English) Zbl 1403.92180 J. Biol. Dyn. 5, No. 2, 147-162 (2011). MSC: 92D15 92D25 60J85 PDFBibTeX XMLCite \textit{F. C. Klebaner} et al., J. Biol. Dyn. 5, No. 2, 147--162 (2011; Zbl 1403.92180) Full Text: DOI
Vatutin, V. A. Multitype branching processes with immigration in random environment, and polling systems. (English) Zbl 1335.60161 Sib. Adv. Math. 21, No. 1, 42-72 (2011). MSC: 60J80 60K37 60F10 60K25 90B22 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Sib. Adv. Math. 21, No. 1, 42--72 (2011; Zbl 1335.60161) Full Text: DOI
Vatutin, V. A.; Topchii, V. A. Catalytic branching random walks in \(\mathbb Z^d\) with branching at the origin. (Russian, English) Zbl 1340.60134 Mat. Tr. 14, No. 2, 28-72 (2011); translation in Sib. Adv. Math. 23, No. 2, 103-153 (2013). MSC: 60J80 60G50 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{V. A. Topchii}, Mat. Tr. 14, No. 2, 28--72 (2011; Zbl 1340.60134); translation in Sib. Adv. Math. 23, No. 2, 103--153 (2013) Full Text: DOI
Vatutin, V. A. News of scientific life. (English. Russian original) Zbl 1243.60003 Theory Probab. Appl. 55, No. 4, 730-734 (2011); translation from Teor. Veroyatn. Primen. 55, No. 4 (2010). MSC: 60-03 01A65 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Theory Probab. Appl. 55, No. 4, 730--734 (2011; Zbl 1243.60003); translation from Teor. Veroyatn. Primen. 55, No. 4 (2010) Full Text: DOI
Vatutin, V. A. Polling systems and multitype branching processes in random environment with final product. (English. Russian original) Zbl 1244.60089 Theory Probab. Appl. 55, No. 4, 631-660 (2011); translation from Teor. Veroyatn. Primen. 55, No. 4, 644-679 (2010). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Theory Probab. Appl. 55, No. 4, 631--660 (2011; Zbl 1244.60089); translation from Teor. Veroyatn. Primen. 55, No. 4, 644--679 (2010) Full Text: DOI arXiv
Vatutin, V. A. Multitype branching processes with immigration in random environment, and polling systems. (Russian, English) Zbl 1249.60182 Mat. Tr. 14, No. 1, 3-49 (2011); translation in Sib. Adv. Math. 21, No. 1, 42-72 (2011). MSC: 60J80 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Mat. Tr. 14, No. 1, 3--49 (2011; Zbl 1249.60182); translation in Sib. Adv. Math. 21, No. 1, 42--72 (2011) Full Text: DOI arXiv
Vatutin, V. On the 80th birthday of Yu. V. Prokhorov. (English. Russian original) Zbl 1215.60003 Theory Probab. Appl. 55, No. 1, 1 (2011); translation from Teor. Veroyatn. Primen. 55, No. 1, 2 (2010). MSC: 60-03 01A70 PDFBibTeX XMLCite \textit{V. Vatutin}, Theory Probab. Appl. 55, No. 1, 1 (2011; Zbl 1215.60003); translation from Teor. Veroyatn. Primen. 55, No. 1, 2 (2010) Full Text: DOI
Sagitov, S.; Jagers, P.; Vatutin, V. Coalescent approximation for structured populations in a stationary random environment. (English) Zbl 1403.92153 Theor. Popul. Biol. 78, No. 3, 192-199 (2010). MSC: 92D10 92D15 92D25 PDFBibTeX XMLCite \textit{S. Sagitov} et al., Theor. Popul. Biol. 78, No. 3, 192--199 (2010; Zbl 1403.92153) Full Text: DOI arXiv
Vatutin, V. A.; Dyakonova, E. E. Asymptotic properties of multitype critical branching processes evolving in a random environment. (English. Russian original) Zbl 1205.60152 Discrete Math. Appl. 20, No. 2, 157-177 (2010); translation from Diskretn. Mat. 22, No. 2, 22-40 (2010). MSC: 60J80 60K37 60F17 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Discrete Math. Appl. 20, No. 2, 157--177 (2010; Zbl 1205.60152); translation from Diskretn. Mat. 22, No. 2, 22--40 (2010) Full Text: DOI
Böinghoff, C.; Dyakonova, E. E.; Kersting, G.; Vatutin, V. A. Branching processes in random environment which extinct at a given moment. (English) Zbl 1204.60086 Markov Process. Relat. Fields 16, No. 2, 329-350 (2010). Reviewer: Valentin Topchii (Omsk) MSC: 60K37 60J80 60G50 60F17 PDFBibTeX XMLCite \textit{C. Böinghoff} et al., Markov Process. Relat. Fields 16, No. 2, 329--350 (2010; Zbl 1204.60086) Full Text: arXiv
Vatutin, V. A. Branching Bellman-Harris processes. (Ветвящиеся процессы Беллмана-Харриса.) (Russian) Zbl 1304.60007 Lektsionnye Kursy NOTs 12. Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (ISBN 5-98419-031-1/pbk). 111 p. (2009). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 60-01 60J80 60J05 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Ветвящиеся процессы Беллмана-Харриса (Russian). Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (2009; Zbl 1304.60007) Full Text: DOI
Vatutin, V. A.; Wachtel, V. Sudden extinction of a critical branching process in a random environment. (English. Russian original) Zbl 1205.60153 Theory Probab. Appl. 54, No. 3, 466-484 (2010); translation from Teor. Veroyatn. Primen. 54, No. 3, 417-438 (2009). MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{V. Wachtel}, Theory Probab. Appl. 54, No. 3, 466--484 (2009; Zbl 1205.60153); translation from Teor. Veroyatn. Primen. 54, No. 3, 417--438 (2009) Full Text: DOI arXiv
Vatutin, V. A.; Dyakonova, E. E. Waves in reduced branching processes in a random environment. (English. Russian original) Zbl 1191.60125 Theory Probab. Appl. 53, No. 4, 679-695 (2009); translation from Teor. Veroyatn. Primen. 53, No. 4, 665-683 (2008). MSC: 60K37 60J80 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Theory Probab. Appl. 53, No. 4, 679--695 (2009; Zbl 1191.60125); translation from Teor. Veroyatn. Primen. 53, No. 4, 665--683 (2008) Full Text: DOI
Vatutin, Vladimir A.; Wachtel, Vitali Local probabilities for random walks conditioned to stay positive. (English) Zbl 1158.60014 Probab. Theory Relat. Fields 143, No. 1-2, 177-217 (2009). Reviewer: Rudolf Gorenflo (Berlin) MSC: 60G50 60G52 60E07 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{V. Wachtel}, Probab. Theory Relat. Fields 143, No. 1--2, 177--217 (2009; Zbl 1158.60014) Full Text: DOI arXiv
Vatutin, Vladimir A.; Kyprianou, Andreas E. Branching processes in random environment die slowly. (English) Zbl 1357.60094 Fifth colloquium on mathematics and computer science. Lectures from the colloquium, Blaubeuren, Germany, September 22–26, 2008. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science Proceedings AI, 375-396 (2008). MSC: 60J80 60K37 60F05 60G50 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{A. E. Kyprianou}, in: Fifth colloquium on mathematics and computer science. Lectures from the colloquium, Blaubeuren, Germany, September 22--26, 2008. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 375--396 (2008; Zbl 1357.60094) Full Text: arXiv Link
Vatutin, V. A. Branching process and their application. (Ветвящиеся процессы и их применения.) (Russian) Zbl 1304.60006 Lektsionnye Kursy NOTs 8. Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (ISBN 5-98419-024-9/pbk). 107 p. (2008). Reviewer: N. G. Gamkrelidze (Moskva) MSC: 60-01 60J80 60K25 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Ветвящиеся процессы и их применения (Russian). Moskva: Matematicheskiĭ Institut im. V. A. Steklova, RAN (2008; Zbl 1304.60006) Full Text: DOI Link
Vatutin, V. A.; Wachtel, V.; Fleischmann, K. Critical Galton-Watson processes: the maximum of total progenies within a large window. (English. Russian original) Zbl 1206.60078 Theory Probab. Appl. 52, No. 3, 470-492 (2008); translation from Teor. Veroyatn. Primen. 52, No. 3, 419-445 (2007). Reviewer: Alexander Schied (Ithaca, NY) MSC: 60J80 PDFBibTeX XMLCite \textit{V. A. Vatutin} et al., Theory Probab. Appl. 52, No. 3, 470--492 (2008; Zbl 1206.60078); translation from Teor. Veroyatn. Primen. 52, No. 3, 419--445 (2007) Full Text: DOI arXiv
Vatutin, V. A.; Dyakonova, E. E. Limit theorems for reduced branching processes in a random environment. (English. Russian original) Zbl 1154.60079 Theory Probab. Appl. 52, No. 2, 277-302 (2008); translation from Teor. Veroyatn. Primen. 52, No. 2, 271-300 (2007). Reviewer: Heinrich Hering (Rockenberg) MSC: 60K37 60J80 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Theory Probab. Appl. 52, No. 2, 277--302 (2008; Zbl 1154.60079); translation from Teor. Veroyatn. Primen. 52, No. 2, 271--300 (2007) Full Text: DOI
Vatutin, Vladimir; Xiong, Jie Some limit theorems for a particle system of single point catalytic branching random walks. (English) Zbl 1129.60079 Acta Math. Sin., Engl. Ser. 23, No. 6, 997-1012 (2007). Reviewer: Valentin Topchii (Omsk) MSC: 60J80 60K25 PDFBibTeX XMLCite \textit{V. Vatutin} and \textit{J. Xiong}, Acta Math. Sin., Engl. Ser. 23, No. 6, 997--1012 (2007; Zbl 1129.60079) Full Text: DOI
Vatutin, V. A.; Dyakonova, E. E. Branching processes in a random environment and bottlenecks in the evolution of populations. (English. Russian original) Zbl 1114.60085 Theory Probab. Appl. 51, No. 1, 189-210 (2007); translation from Teor. Veroyatn. Primen. 51, No. 1, 22-46 (2006). MSC: 60K37 60J80 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Theory Probab. Appl. 51, No. 1, 189--210 (2007; Zbl 1114.60085); translation from Teor. Veroyatn. Primen. 51, No. 1, 22--46 (2006) Full Text: DOI
Vatutin, Vladimir; Wachtel, Vitali Local limit theorems for ladder epochs. arXiv:math/0701914 Preprint, arXiv:math/0701914 [math.PR] (2007). MSC: 60G50 BibTeX Cite \textit{V. Vatutin} and \textit{V. Wachtel}, ``Local limit theorems for ladder epochs'', Preprint, arXiv:math/0701914 [math.PR] (2007) Full Text: arXiv
Borovkov, Konstantin; Vatutin, Vladimir Trees with product-form random weights. (English) Zbl 1190.05095 Fourth colloquium on mathematics and computer science IV. Algorithms, trees, combinatorics and probabilities. Papers based on the presentations at the colloquium, Nancy, France, September 18–22, 2006. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 423-426, electronic only (2006). MSC: 05C80 05C05 05C22 68R10 PDFBibTeX XMLCite \textit{K. Borovkov} and \textit{V. Vatutin}, in: Fourth colloquium on mathematics and computer science IV. Algorithms, trees, combinatorics and probabilities. Papers based on the presentations at the colloquium, Nancy, France, September 18--22, 2006. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 423--426 (2006; Zbl 1190.05095) Full Text: Link
Borovkov, K. A.; Vatutin, V. A. On the asymptotic behaviour of random recursive trees in random environments. (English) Zbl 1107.05082 Adv. Appl. Probab. 38, No. 4, 1047-1070 (2006). MSC: 05C80 05C05 60G50 60F99 PDFBibTeX XMLCite \textit{K. A. Borovkov} and \textit{V. A. Vatutin}, Adv. Appl. Probab. 38, No. 4, 1047--1070 (2006; Zbl 1107.05082) Full Text: DOI arXiv
Haccou, Patsy; Jagers, Peter; Vatutin, Vladimir A. Branching processes. Variation, growth, and extinction of populations. (English) Zbl 1118.92001 Cambridge Studies in Adaptive Dynamics 5. Cambridge: Cambridge University Press (ISBN 978-0-521-83220-5). xii, 316 p. (2005). MSC: 92B05 60J85 92-06 PDFBibTeX XMLCite \textit{P. Haccou} et al., Branching processes. Variation, growth, and extinction of populations. Cambridge: Cambridge University Press (2005; Zbl 1118.92001) Full Text: DOI
Fleischmann, Klaus; Vatutin, Vladimir A. Multi-scale clustering for a non-Markovian spatial branching process. (English) Zbl 1085.60061 J. Theor. Probab. 18, No. 4, 719-755 (2005). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J80 PDFBibTeX XMLCite \textit{K. Fleischmann} and \textit{V. A. Vatutin}, J. Theor. Probab. 18, No. 4, 719--755 (2005; Zbl 1085.60061) Full Text: DOI
Vatutin, V. A.; Topchii, V. A. Limit theorem for critical catalytic branching random walks. (English. Russian original) Zbl 1093.60062 Theory Probab. Appl. 49, No. 3, 498-518 (2005); translation from Teor. Veroyatn. Primen. 49, No. 3, 461-484 (2004). Reviewer: Valentin Topchii (Omsk) MSC: 60J80 60G50 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{V. A. Topchii}, Theory Probab. Appl. 49, No. 3, 498--518 (2005; Zbl 1093.60062); translation from Teor. Veroyatn. Primen. 49, No. 3, 461--484 (2004) Full Text: DOI
Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A. Functional limit theorems for strongly subcritical branching processes in random environment. (English) Zbl 1080.60079 Stochastic Processes Appl. 115, No. 10, 1658-1676 (2005). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J80 60G50 60F17 PDFBibTeX XMLCite \textit{V. I. Afanasyev} et al., Stochastic Processes Appl. 115, No. 10, 1658--1676 (2005; Zbl 1080.60079) Full Text: DOI
Afanasyev, V. I.; Geiger, J.; Kersting, G.; Vatutin, V. A. Criticality for branching processes in random environment. (English) Zbl 1075.60107 Ann. Probab. 33, No. 2, 645-673 (2005). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J80 60G50 60F17 60K37 PDFBibTeX XMLCite \textit{V. I. Afanasyev} et al., Ann. Probab. 33, No. 2, 645--673 (2005; Zbl 1075.60107) Full Text: DOI arXiv
Vatutin, V. A.; Dyakonova, E. E. Galton–Watson branching processes in a random environment. II: Finite-dimensional distributions. (English. Russian original) Zbl 1091.60037 Theory Probab. Appl. 49, No. 2, 275-308 (2005); translation from Teor. Veroyatn. Primen. 49, No. 2, 231-268 (2004). MSC: 60K37 60J80 PDFBibTeX XMLCite \textit{V. A. Vatutin} and \textit{E. E. Dyakonova}, Theory Probab. Appl. 49, No. 2, 275--308 (2004; Zbl 1091.60037); translation from Teor. Veroyatn. Primen. 49, No. 2, 231--268 (2004) Full Text: DOI
Topchii, Valentin; Vatutin, Vladimir Two-dimensional limit theorem for a critical catalytic branching random walk. (English) Zbl 1062.60091 Drmota, Michael (ed.) et al., Mathematics and computer science III. Algorithms, trees, combinatorics and probabilities. Proceedings of the international colloquium of mathematics and computer sciences, Vienna, September 13–17, 2004. Basel: Birkhäuser (ISBN 3-7643-7128-5/hbk). Trends in Mathematics, 387-395 (2004). Reviewer: Valentin Topchii (Omsk) MSC: 60J80 60J27 60G50 82B41 PDFBibTeX XMLCite \textit{V. Topchii} and \textit{V. Vatutin}, in: Mathematics and computer science III. Algorithms, trees, combinatorics and probabilities. Proceedings of the international colloquium of mathematics and computer sciences, Vienna, September 13--17, 2004. Basel: Birkhäuser. 387--395 (2004; Zbl 1062.60091)
Vatutin, Vladimir; Dyakonova, Elena Yaglom type limit theorem for branching processes in random environment. (English) Zbl 1063.60150 Drmota, Michael (ed.) et al., Mathematics and computer science III. Algorithms, trees, combinatorics and probabilities. Proceedings of the international colloquium of mathematics and computer sciences, Vienna, September 13–17, 2004. Basel: Birkhäuser (ISBN 3-7643-7128-5/hbk). Trends in Mathematics, 375-385 (2004). Reviewer: Valentin Topchii (Omsk) MSC: 60K37 60F05 60G50 60J80 PDFBibTeX XMLCite \textit{V. Vatutin} and \textit{E. Dyakonova}, in: Mathematics and computer science III. Algorithms, trees, combinatorics and probabilities. Proceedings of the international colloquium of mathematics and computer sciences, Vienna, September 13--17, 2004. Basel: Birkhäuser. 375--385 (2004; Zbl 1063.60150)
Dyakonova, E. E.; Geiger, J.; Vatutin, V. A. On the survival probability and a functional limit theorem for branching processes in random environment. (English) Zbl 1078.60065 Markov Process. Relat. Fields 10, No. 2, 289-306 (2004). Reviewer: Klaus Fleischmann (Berlin) MSC: 60J80 60K37 60F17 60G50 PDFBibTeX XMLCite \textit{E. E. Dyakonova} et al., Markov Process. Relat. Fields 10, No. 2, 289--306 (2004; Zbl 1078.60065)
Haccou, Patsy; Vatutin, Vladimir Establishment success and extinction risk in autocorrelated environments. (English) Zbl 1102.92052 Theor. Popul. Biol. 64, No. 3, 303-314 (2003). MSC: 92D40 60J85 65C20 PDFBibTeX XMLCite \textit{P. Haccou} and \textit{V. Vatutin}, Theor. Popul. Biol. 64, No. 3, 303--314 (2003; Zbl 1102.92052) Full Text: DOI
Vatutin, V. A.; Topchij, V. A.; Yarovaya, E. B. Catalytic branching random walk and queuing systems with random number of independent servers. (Russian, English) Zbl 1097.60068 Teor. Jmovirn. Mat. Stat. 69, 1-15 (2004); translation in Theory Probab. Math. Stat. 69, 1-15 (2004). MSC: 60J80 60G50 60K25 60K05 PDFBibTeX XMLCite \textit{V. A. Vatutin} et al., Teor. Ĭmovirn. Mat. Stat. 69, 1--15 (2003; Zbl 1097.60068); translation in Theory Probab. Math. Stat. 69, 1--15 (2004) Full Text: Link
Vatutin, V. A. Limit theorem for an intermediate subcritical branching process in a random environment. (English. Russian original) Zbl 1068.60096 Theory Probab. Appl. 48, No. 3, 481-492 (2003); translation from Teor. Veroyatn. Primen. 48, No. 3, 453-465 (2003). Reviewer: Mihai Gradinaru (Nancy) MSC: 60J80 60K37 PDFBibTeX XMLCite \textit{V. A. Vatutin}, Theory Probab. Appl. 48, No. 3, 481--492 (2003; Zbl 1068.60096); translation from Teor. Veroyatn. Primen. 48, No. 3, 453--465 (2003) Full Text: DOI