Iksanov, Alexander; Wachtel, Vitali Precise tail behaviour of some Dirichlet series. (English) Zbl 07900862 J. Theor. Probab. 37, No. 3, 2704-2737 (2024). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60G50 60E99 60F05 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{V. Wachtel}, J. Theor. Probab. 37, No. 3, 2704--2737 (2024; Zbl 07900862) Full Text: DOI arXiv OA License
Iksanov, Alexander; Kolesko, Konrad; Meiners, Matthias Asymptotic fluctuations in supercritical Crump-Mode-Jagers processes. (English) Zbl 07889243 Ann. Probab. 52, No. 4, 1538-1606 (2024). MSC: 60J80 60F05 60G44 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Ann. Probab. 52, No. 4, 1538--1606 (2024; Zbl 07889243) Full Text: DOI arXiv Link
Iksanov, Alexander; Kotelnikova, Valeriya A law of the iterated logarithm for small counts in Karlin’s occupancy scheme. (English) Zbl 07860174 Mod. Stoch., Theory Appl. 11, No. 2, 217-245 (2024). MSC: 60F15 60G50 60C05 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{V. Kotelnikova}, Mod. Stoch., Theory Appl. 11, No. 2, 217--245 (2024; Zbl 07860174) Full Text: DOI arXiv
Buraczewski, Dariusz; Dong, Congzao; Iksanov, Alexander; Marynych, Alexander Critical branching processes in a sparse random environment. (English) Zbl 1534.60118 Mod. Stoch., Theory Appl. 10, No. 4, 397-411 (2023). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J80 60F05 PDFBibTeX XMLCite \textit{D. Buraczewski} et al., Mod. Stoch., Theory Appl. 10, No. 4, 397--411 (2023; Zbl 1534.60118) Full Text: DOI arXiv
Buraczewski, Dariusz; Dong, Congzao; Iksanov, Alexander; Marynych, Alexander Limit theorems for random Dirichlet series. (English) Zbl 07757097 Stochastic Processes Appl. 165, 246-274 (2023). MSC: 60F15 60F17 30B50 60G50 30C15 PDFBibTeX XMLCite \textit{D. Buraczewski} et al., Stochastic Processes Appl. 165, 246--274 (2023; Zbl 07757097) Full Text: DOI arXiv
Alsmeyer, Gerold; Iksanov, Alexander Recurrence and transience of random difference equations in the critical case. (English) Zbl 1516.60041 Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 2, 606-620 (2023). MSC: 60J10 60F15 PDFBibTeX XMLCite \textit{G. Alsmeyer} and \textit{A. Iksanov}, Ann. Inst. Henri Poincaré, Probab. Stat. 59, No. 2, 606--620 (2023; Zbl 1516.60041) Full Text: DOI arXiv
Iksanov, Alexander; Pilipenko, Andrey; Povar, Ben Functional limit theorems for random walks perturbed by positive alpha-stable jumps. (English) Zbl 1534.60041 Bernoulli 29, No. 2, 1638-1662 (2023). Reviewer: Peter Kern (Düsseldorf) MSC: 60F17 60G50 60G52 60G53 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Bernoulli 29, No. 2, 1638--1662 (2023; Zbl 1534.60041) Full Text: DOI arXiv Link
Iksanov, Alexander; Rashytov, Bohdan; Samoilenko, Igor Renewal theory for iterated perturbed random walks on a general branching process tree: early generations. (English) Zbl 1520.60054 J. Appl. Probab. 60, No. 1, 45-67 (2023). Reviewer: Edward Omey (Brussel) MSC: 60J80 60K05 60F17 PDFBibTeX XMLCite \textit{A. Iksanov} et al., J. Appl. Probab. 60, No. 1, 45--67 (2023; Zbl 1520.60054) Full Text: DOI arXiv
Iksanov, Alexander; Marynych, Alexander; Nikitin, Anatolii Limit theorems for discounted convergent perpetuities. II. (English) Zbl 1508.60040 Electron. J. Probab. 28, Paper No. 15, 22 p. (2023). MSC: 60F15 60F17 60G50 60G55 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Electron. J. Probab. 28, Paper No. 15, 22 p. (2023; Zbl 1508.60040) Full Text: DOI arXiv Link
Iksanov, Alexander; Pilipenko, Andrey On a skew stable Lévy process. (English) Zbl 1504.60055 Stochastic Processes Appl. 156, 44-68 (2023). MSC: 60F17 60G51 60J65 60J35 60J50 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{A. Pilipenko}, Stochastic Processes Appl. 156, 44--68 (2023; Zbl 1504.60055) Full Text: DOI arXiv OA License
Dong, Congzao; Iksanov, Oleksandr; Pilipenko, Andrey On a discrete approximation of a skew stable Lévy process. arXiv:2302.07298 Preprint, arXiv:2302.07298 [math.PR] (2023). BibTeX Cite \textit{C. Dong} et al., ``On a discrete approximation of a skew stable Lévy process'', Preprint, arXiv:2302.07298 [math.PR] (2023) Full Text: arXiv OA License
Iksanov, Alexander; Marynych, Alexander; Rashytov, Bohdan Stable fluctuations of iterated perturbed random walks in intermediate generations of a general branching process tree. (English) Zbl 1511.60124 Lith. Math. J. 62, No. 4, 447-466 (2022). Reviewer: Bastien Mallein (Paris) MSC: 60J80 60G50 60F05 60K05 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Lith. Math. J. 62, No. 4, 447--466 (2022; Zbl 1511.60124) Full Text: DOI arXiv
Iksanov, Alexander; Marynych, Alexander; Samoilenko, Igor On intermediate levels of a nested occupancy scheme in a random environment generated by stick-breaking. II. (English) Zbl 1503.60027 Stochastics 94, No. 7, 1077-1101 (2022). MSC: 60F05 60J80 60C05 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Stochastics 94, No. 7, 1077--1101 (2022; Zbl 1503.60027) Full Text: DOI arXiv
Iksanov, Alexander; Kotelnikova, Valeriya Small counts in nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions. (English) Zbl 1498.60132 Stochastic Processes Appl. 153, 283-320 (2022). MSC: 60F17 60J80 60G15 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{V. Kotelnikova}, Stochastic Processes Appl. 153, 283--320 (2022; Zbl 1498.60132) Full Text: DOI arXiv OA License
Iksanov, Alexander; Marynych, Alexander; Raschel, Kilian Asymptotics of arithmetic functions of GCD and LCM of random integers in hyperbolic regions. (English) Zbl 1503.11128 Result. Math. 77, No. 4, Paper No. 165, 22 p. (2022). Reviewer: Mehdi Hassani (Zanjan) MSC: 11N37 11A05 60F05 11A25 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Result. Math. 77, No. 4, Paper No. 165, 22 p. (2022; Zbl 1503.11128) Full Text: DOI arXiv
Bohun, Vladyslav; Iksanov, Alexander; Marynych, Alexander; Rashytov, Bohdan Renewal theory for iterated perturbed random walks on a general branching process tree: intermediate generations. (English) Zbl 1496.60107 J. Appl. Probab. 59, No. 2, 421-446 (2022). MSC: 60K05 60J80 60G05 PDFBibTeX XMLCite \textit{V. Bohun} et al., J. Appl. Probab. 59, No. 2, 421--446 (2022; Zbl 1496.60107) Full Text: DOI arXiv
Iksanov, Alexander; Mallein, Bastien Late levels of nested occupancy scheme in random environment. (English) Zbl 1494.60031 Stoch. Models 38, No. 1, 130-166 (2022). Reviewer: Jean-Jil Duchamps (Besançon) MSC: 60F15 60J85 60K37 60C05 60F05 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{B. Mallein}, Stoch. Models 38, No. 1, 130--166 (2022; Zbl 1494.60031) Full Text: DOI arXiv HAL
Buraczewski, Dariusz; Iksanov, Alexander; Marynych, Alexander Central limit theorem for the least common multiple of a uniformly sampled \(m\)-tuple of integers. (English) Zbl 1483.11166 J. Number Theory 233, 301-336 (2022). MSC: 11K65 60F05 11A05 PDFBibTeX XMLCite \textit{D. Buraczewski} et al., J. Number Theory 233, 301--336 (2022; Zbl 1483.11166) Full Text: DOI arXiv
Iksanov, Alexander; Kabluchko, Zakhar; Kotelnikova, Valeriya A functional limit theorem for nested Karlin’s occupancy scheme generated by discrete Weibull-like distributions. (English) Zbl 1479.60028 J. Math. Anal. Appl. 507, No. 2, Article ID 125798, 24 p. (2022). MSC: 60E05 60F17 60G15 60J80 60B12 PDFBibTeX XMLCite \textit{A. Iksanov} et al., J. Math. Anal. Appl. 507, No. 2, Article ID 125798, 24 p. (2022; Zbl 1479.60028) Full Text: DOI arXiv
Iksanov, Alexander; Nikitin, Anatolii; Samoilenko, Igor Limit theorems for discounted convergent perpetuities. (English) Zbl 1483.60049 Electron. J. Probab. 26, Paper No. 131, 25 p. (2021). MSC: 60F15 60F17 60G50 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Electron. J. Probab. 26, Paper No. 131, 25 p. (2021; Zbl 1483.60049) Full Text: DOI arXiv
Iksanov, Alexander; Kolesko, Konrad; Meiners, Matthias Gaussian fluctuations and a law of the iterated logarithm for Nerman’s martingale in the supercritical general branching process. (English) Zbl 1483.60127 Electron. J. Probab. 26, Paper No. 160, 22 p. (2021). MSC: 60J80 60F05 60F17 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Electron. J. Probab. 26, Paper No. 160, 22 p. (2021; Zbl 1483.60127) Full Text: DOI arXiv
Iksanov, Alexander; Kondratenko, Oleh Functional limit theorems for discounted exponential functional of random walk and discounted convergent perpetuity. (English) Zbl 1476.60066 Stat. Probab. Lett. 176, Article ID 109148, 9 p. (2021). MSC: 60F17 60G50 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{O. Kondratenko}, Stat. Probab. Lett. 176, Article ID 109148, 9 p. (2021; Zbl 1476.60066) Full Text: DOI
Iksanov, A.; Rashytov, B. Functional limit theorem without centering for general shot-noise processes. (English. Ukrainian original) Zbl 1492.60077 Ukr. Math. J. 73, No. 2, 181-202 (2021); translation from Ukr. Mat. Zh. 73, No. 2, 160-178 (2021). Reviewer: Fraser Daly (Edinburgh) MSC: 60F17 60F05 60G50 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{B. Rashytov}, Ukr. Math. J. 73, No. 2, 181--202 (2021; Zbl 1492.60077); translation from Ukr. Mat. Zh. 73, No. 2, 160--178 (2021) Full Text: DOI
Buraczewski, Dariusz; Iksanov, Alexander; Mallein, Bastien On the derivative martingale in a branching random walk. (English) Zbl 1504.60073 Ann. Probab. 49, No. 3, 1164-1204 (2021). Reviewer: Heinrich Hering (Rockenberg) MSC: 60G50 60J80 60F05 60G42 PDFBibTeX XMLCite \textit{D. Buraczewski} et al., Ann. Probab. 49, No. 3, 1164--1204 (2021; Zbl 1504.60073) Full Text: DOI arXiv
Iksanov, Alexander; Kolesko, Konrad; Meiners, Matthias Fluctuations of Biggins’ martingales at complex parameters. (English. French summary) Zbl 1479.60177 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 4, 2445-2479 (2020). Reviewer: Zakhar Kabluchko (Münster) MSC: 60J80 60F15 60G55 60G52 60G51 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 4, 2445--2479 (2020; Zbl 1479.60177) Full Text: DOI arXiv Euclid
Buraczewski, Dariusz; Dovgay, Bohdan; Iksanov, Alexander On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking I. (English) Zbl 1469.60040 Electron. J. Probab. 25, Paper No. 123, 24 p. (2020). MSC: 60C05 60F05 60G09 60K37 PDFBibTeX XMLCite \textit{D. Buraczewski} et al., Electron. J. Probab. 25, Paper No. 123, 24 p. (2020; Zbl 1469.60040) Full Text: DOI arXiv Euclid
Gnedin, Alexander; Iksanov, Alexander On nested infinite occupancy scheme in random environment. (English) Zbl 1457.60013 Probab. Theory Relat. Fields 177, No. 3-4, 855-890 (2020). MSC: 60C05 60F17 60J80 PDFBibTeX XMLCite \textit{A. Gnedin} and \textit{A. Iksanov}, Probab. Theory Relat. Fields 177, No. 3--4, 855--890 (2020; Zbl 1457.60013) Full Text: DOI arXiv OA License
Buraczewski, Dariusz; Dyszewski, Piotr; Iksanov, Alexander; Marynych, Alexander Random walks in a strongly sparse random environment. (English) Zbl 1434.60306 Stochastic Processes Appl. 130, No. 7, 3990-4027 (2020). MSC: 60K37 60F05 60F15 60J80 PDFBibTeX XMLCite \textit{D. Buraczewski} et al., Stochastic Processes Appl. 130, No. 7, 3990--4027 (2020; Zbl 1434.60306) Full Text: DOI arXiv
Iksanov, Alexander; Rashytov, Bohdan A functional limit theorem for general shot noise processes. (English) Zbl 1434.60106 J. Appl. Probab. 57, No. 1, 280-294 (2020). MSC: 60F17 60G55 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{B. Rashytov}, J. Appl. Probab. 57, No. 1, 280--294 (2020; Zbl 1434.60106) Full Text: DOI arXiv
Dong, Congzao; Iksanov, Alexander Weak convergence of random processes with immigration at random times. (English) Zbl 1434.60068 J. Appl. Probab. 57, No. 1, 250-265 (2020). MSC: 60F05 60G55 PDFBibTeX XMLCite \textit{C. Dong} and \textit{A. Iksanov}, J. Appl. Probab. 57, No. 1, 250--265 (2020; Zbl 1434.60068) Full Text: DOI arXiv
Iksanov, Alexander; Kolesko, Konrad; Meiners, Matthias Stable-like fluctuations of Biggins’ martingales. (English) Zbl 1448.60172 Stochastic Processes Appl. 129, No. 11, 4480-4499 (2019). MSC: 60J80 60F05 60G42 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Stochastic Processes Appl. 129, No. 11, 4480--4499 (2019; Zbl 1448.60172) Full Text: DOI arXiv
Iksanov, Alexander; Liang, Xingang; Liu, Quansheng On \(L^p\)-convergence of the Biggins martingale with complex parameter. (English) Zbl 1440.60078 J. Math. Anal. Appl. 479, No. 2, 1653-1669 (2019). Reviewer: Matthias Meiners (Innsbruck) MSC: 60J80 60F25 60G42 PDFBibTeX XMLCite \textit{A. Iksanov} et al., J. Math. Anal. Appl. 479, No. 2, 1653--1669 (2019; Zbl 1440.60078) Full Text: DOI arXiv
Buraczewski, Dariusz; Dyszewski, Piotr; Iksanov, Alexander; Marynych, Alexander; Roitershtein, Alexander Random walks in a moderately sparse random environment. (English) Zbl 1467.60085 Electron. J. Probab. 24, Paper No. 69, 44 p. (2019). MSC: 60K37 60F05 60F15 60J80 PDFBibTeX XMLCite \textit{D. Buraczewski} et al., Electron. J. Probab. 24, Paper No. 69, 44 p. (2019; Zbl 1467.60085) Full Text: DOI Euclid
Iksanov, Alexander; Mallein, Bastien A result on power moments of Lévy-type perpetuities and its application to the \(L_p\)-convergence of Biggins’ martingales in branching Lévy processes. (English) Zbl 1406.60063 ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 315-331 (2019). MSC: 60G44 60J80 60G51 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{B. Mallein}, ALEA, Lat. Am. J. Probab. Math. Stat. 16, No. 1, 315--331 (2019; Zbl 1406.60063) Full Text: arXiv Link
Iksanov, Alexander; Kabluchko, Zakhar A functional limit theorem for the profile of random recursive trees. (English) Zbl 1406.60051 Electron. Commun. Probab. 23, Paper No. 87, 13 p. (2018). MSC: 60F17 60J80 60G50 60C05 60F05 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{Z. Kabluchko}, Electron. Commun. Probab. 23, Paper No. 87, 13 p. (2018; Zbl 1406.60051) Full Text: DOI arXiv Euclid
Iksanov, Alexander; Kabluchko, Zakhar Weak convergence of the number of vertices at intermediate levels of random recursive trees. (English) Zbl 1405.60031 J. Appl. Probab. 55, No. 4, 1131-1142 (2018). MSC: 60F05 60J80 60G50 60C05 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{Z. Kabluchko}, J. Appl. Probab. 55, No. 4, 1131--1142 (2018; Zbl 1405.60031) Full Text: DOI arXiv
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin The collision spectrum of \(\Lambda\)-coalescents. (English) Zbl 1404.60104 Ann. Appl. Probab. 28, No. 6, 3857-3883 (2018). MSC: 60J25 60F17 60C05 60G09 PDFBibTeX XMLCite \textit{A. Gnedin} et al., Ann. Appl. Probab. 28, No. 6, 3857--3883 (2018; Zbl 1404.60104) Full Text: DOI arXiv Euclid
Buraczewski, Dariusz; Dyszewski, Piotr; Iksanov, Alexander; Marynych, Alexander On perpetuities with gamma-like tails. (English) Zbl 1401.60127 J. Appl. Probab. 55, No. 2, 368-389 (2018). MSC: 60H25 60G50 60E07 PDFBibTeX XMLCite \textit{D. Buraczewski} et al., J. Appl. Probab. 55, No. 2, 368--389 (2018; Zbl 1401.60127) Full Text: DOI arXiv
Iksanov, Alexander; Jedidi, Wissem; Bouzeffour, Fethi Functional limit theorems for the number of busy servers in a \(\mathrm{G}/\mathrm{G}/\infty\) queue. (English) Zbl 1396.60035 J. Appl. Probab. 55, No. 1, 15-29 (2018). MSC: 60F17 60K25 90B22 PDFBibTeX XMLCite \textit{A. Iksanov} et al., J. Appl. Probab. 55, No. 1, 15--29 (2018; Zbl 1396.60035) Full Text: DOI arXiv
Iksanov, Alexander; Kabluchko, Zakhar Functional limit theorems for Galton-Watson processes with very active immigration. (English) Zbl 1375.60075 Stochastic Processes Appl. 128, No. 1, 291-305 (2018). MSC: 60F17 60J80 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{Z. Kabluchko}, Stochastic Processes Appl. 128, No. 1, 291--305 (2018; Zbl 1375.60075) Full Text: DOI arXiv
Alsmeyer, Gerold; Buraczewski, Dariusz; Iksanov, Alexander Null recurrence and transience of random difference equations in the contractive case. (English) Zbl 1400.60093 J. Appl. Probab. 54, No. 4, 1089-1110 (2017). MSC: 60J10 60F15 PDFBibTeX XMLCite \textit{G. Alsmeyer} et al., J. Appl. Probab. 54, No. 4, 1089--1110 (2017; Zbl 1400.60093) Full Text: DOI arXiv
Iksanov, Alexander; Pilipenko, Andrey; Samoilenko, Igor Functional limit theorems for the maxima of perturbed random walk and divergent perpetuities in the \(M_1\)-topology. (English) Zbl 1379.60037 Extremes 20, No. 3, 567-583 (2017). MSC: 60F17 60G70 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Extremes 20, No. 3, 567--583 (2017; Zbl 1379.60037) Full Text: DOI arXiv
Iksanov, Alexander; Jedidi, Wissem; Bouzeffour, Fethi A law of the iterated logarithm for the number of occupied boxes in the Bernoulli sieve. (English) Zbl 1386.60107 Stat. Probab. Lett. 126, 244-252 (2017). MSC: 60F15 60K05 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Stat. Probab. Lett. 126, 244--252 (2017; Zbl 1386.60107) Full Text: DOI arXiv
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias Asymptotics of random processes with immigration. II: Convergence to stationarity. (English) Zbl 1377.60046 Bernoulli 23, No. 2, 1279-1298 (2017). Reviewer: Martin Wendler (Greifswald) MSC: 60F17 60G17 60G55 60J80 60K05 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Bernoulli 23, No. 2, 1279--1298 (2017; Zbl 1377.60046) Full Text: DOI arXiv Euclid
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias Asymptotics of random processes with immigration. I: Scaling limits. (English) Zbl 1386.60122 Bernoulli 23, No. 2, 1233-1278 (2017). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60F17 60G17 60G55 60J80 60K05 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Bernoulli 23, No. 2, 1233--1278 (2017; Zbl 1386.60122) Full Text: DOI arXiv Euclid
Alsmeyer, Gerold; Iksanov, Alexander; Marynych, Alexander Functional limit theorems for the number of occupied boxes in the Bernoulli sieve. (English) Zbl 1366.60069 Stochastic Processes Appl. 127, No. 3, 995-1017 (2017). MSC: 60F17 60C05 PDFBibTeX XMLCite \textit{G. Alsmeyer} et al., Stochastic Processes Appl. 127, No. 3, 995--1017 (2017; Zbl 1366.60069) Full Text: DOI arXiv
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy Fractionally integrated inverse stable subordinators. (English) Zbl 1353.60032 Stochastic Processes Appl. 127, No. 1, 80-106 (2017). MSC: 60F17 60F15 60G52 60K05 60G17 60G18 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Stochastic Processes Appl. 127, No. 1, 80--106 (2017; Zbl 1353.60032) Full Text: DOI arXiv
Iksanov, A.; Pilipenko, A. A functional limit theorem for locally perturbed random walks. (English) Zbl 1357.60035 Probab. Math. Stat. 36, No. 2, 353-368 (2016). MSC: 60F17 60G50 60F05 60J65 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{A. Pilipenko}, Probab. Math. Stat. 36, No. 2, 353--368 (2016; Zbl 1357.60035) Full Text: arXiv Link
Iksanov, Alexander; Kabluchko, Zakhar A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk. (English) Zbl 1356.60055 J. Appl. Probab. 53, No. 4, 1178-1192 (2016). MSC: 60F17 60F05 60F15 60J80 60G50 60G42 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{Z. Kabluchko}, J. Appl. Probab. 53, No. 4, 1178--1192 (2016; Zbl 1356.60055) Full Text: DOI arXiv Euclid
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander Local universality for real roots of random trigonometric polynomials. (English) Zbl 1361.30009 Electron. J. Probab. 21, Paper No. 63, 19 p. (2016). Reviewer: Anatoliy Pogorui (Zhytomyr) MSC: 30C15 60F17 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Electron. J. Probab. 21, Paper No. 63, 19 p. (2016; Zbl 1361.30009) Full Text: DOI arXiv Euclid
Iksanov, Alexander; Polotskiy, Serguei Tail behaviour of suprema of perturbed random walks. (English) Zbl 1363.60068 Theory Stoch. Process. 21, No. 1, 12-16 (2016). MSC: 60G50 60K05 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{S. Polotskiy}, Theory Stoch. Process. 21, No. 1, 12--16 (2016; Zbl 1363.60068)
Iksanov, Alexander Renewal theory for perturbed random walks and similar processes. (English) Zbl 1382.60004 Probability and Its Applications. Basel: Birkhäuser/Springer (ISBN 978-3-319-49111-0/hbk; 978-3-319-49113-4/ebook). xiv, 250 p. (2016). Reviewer: Zdzisław Rychlik (Lublin) MSC: 60-02 60G50 60K05 60J80 60J85 PDFBibTeX XMLCite \textit{A. Iksanov}, Renewal theory for perturbed random walks and similar processes. Basel: Birkhäuser/Springer (2016; Zbl 1382.60004) Full Text: DOI
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias Moment convergence of first-passage times in renewal theory. (English) Zbl 1350.60091 Stat. Probab. Lett. 119, 134-143 (2016). MSC: 60K05 60F05 60G51 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Stat. Probab. Lett. 119, 134--143 (2016; Zbl 1350.60091) Full Text: DOI arXiv
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander Weak convergence of renewal shot noise processes in the case of slowly varying normalization. (English) Zbl 1337.60021 Stat. Probab. Lett. 114, 67-77 (2016). MSC: 60F05 60K05 60G50 60G15 60J65 26A12 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Stat. Probab. Lett. 114, 67--77 (2016; Zbl 1337.60021) Full Text: DOI arXiv
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
Aurzada, Frank; Iksanov, Alexander; Meiners, Matthias Exponential moments of first passage times and related quantities for Lévy processes. (English) Zbl 1330.60063 Math. Nachr. 288, No. 17-18, 1921-1938 (2015). MSC: 60G51 60K05 PDFBibTeX XMLCite \textit{F. Aurzada} et al., Math. Nachr. 288, No. 17--18, 1921--1938 (2015; Zbl 1330.60063) Full Text: DOI arXiv
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
Alsmeyer, Gerold; Iksanov, Alexander; Meiners, Matthias Power and exponential moments of the number of visits and related quantities for perturbed random walks. (English) Zbl 1318.60048 J. Theor. Probab. 28, No. 1, 1-40 (2015). MSC: 60G50 60G40 60K05 PDFBibTeX XMLCite \textit{G. Alsmeyer} et al., J. Theor. Probab. 28, No. 1, 1--40 (2015; Zbl 1318.60048) Full Text: DOI arXiv
Iksanov, Alexander; Meiners, Matthias Fixed points of multivariate smoothing transforms with scalar weights. (English) Zbl 1341.60022 ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 1, 69-114 (2015). MSC: 60G07 60J80 60G50 60G42 60E07 60E10 39B32 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{M. Meiners}, ALEA, Lat. Am. J. Probab. Math. Stat. 12, No. 1, 69--114 (2015; Zbl 1341.60022) Full Text: arXiv Link
Buraczewski, Dariusz; Iksanov, Alexander Functional limit theorems for divergent perpetuities in the contractive case. (English) Zbl 1307.60026 Electron. Commun. Probab. 20, Paper No. 10, 14 p. (2015). MSC: 60F17 60G50 60G70 PDFBibTeX XMLCite \textit{D. Buraczewski} and \textit{A. Iksanov}, Electron. Commun. Probab. 20, Paper No. 10, 14 p. (2015; Zbl 1307.60026) Full Text: DOI arXiv
Iksanov, Alexander; Meiners, Matthias Rate of convergence in the law of large numbers for supercritical general multi-type branching processes. (English) Zbl 1327.60061 Stochastic Processes Appl. 125, No. 2, 708-738 (2015). MSC: 60F05 60F15 60J80 60G44 60K15 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{M. Meiners}, Stochastic Processes Appl. 125, No. 2, 708--738 (2015; Zbl 1327.60061) Full Text: DOI arXiv
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander \(\Lambda\)-coalescents: a survey. (English) Zbl 1322.60152 J. Appl. Probab. 51A, Spec. Vol., 23-40 (2014). MSC: 60J25 60J27 60G09 60C05 60G51 PDFBibTeX XMLCite \textit{A. Gnedin} et al., J. Appl. Probab. 51A, 23--40 (2014; Zbl 1322.60152) Full Text: DOI Euclid
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias Limit theorems for renewal shot noise processes with eventually decreasing response functions. (English) Zbl 1335.60023 Stochastic Processes Appl. 124, No. 6, 2132-2170 (2014). MSC: 60F05 60K05 60G51 60G22 60G52 60G55 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Stochastic Processes Appl. 124, No. 6, 2132--2170 (2014; Zbl 1335.60023) Full Text: DOI arXiv
Iksanov, Alexander; Pilipenko, Andrey On the maximum of a perturbed random walk. (English) Zbl 1294.60059 Stat. Probab. Lett. 92, 168-172 (2014). MSC: 60F17 60G50 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{A. Pilipenko}, Stat. Probab. Lett. 92, 168--172 (2014; Zbl 1294.60059) Full Text: DOI
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin On asymptotics of the beta coalescents. (English) Zbl 1323.60021 Adv. Appl. Probab. 46, No. 2, 496-515 (2014). MSC: 60C05 60G09 60F05 60J10 PDFBibTeX XMLCite \textit{A. Gnedin} et al., Adv. Appl. Probab. 46, No. 2, 496--515 (2014; Zbl 1323.60021) Full Text: DOI arXiv Euclid Link
Iksanov, Alexander On the number of empty boxes in the Bernoulli sieve. I. (English) Zbl 1295.60029 Stochastics 85, No. 6, 946-959 (2013). Reviewer: Erich Häusler (Gießen) MSC: 60F05 60K05 60C05 PDFBibTeX XMLCite \textit{A. Iksanov}, Stochastics 85, No. 6, 946--959 (2013; Zbl 1295.60029) Full Text: DOI arXiv
Iksanov, Alexander Functional limit theorems for renewal shot noise processes with increasing response functions. (English) Zbl 1302.60058 Stochastic Processes Appl. 123, No. 6, 1987-2010 (2013). MSC: 60F17 60K05 60G22 60G52 PDFBibTeX XMLCite \textit{A. Iksanov}, Stochastic Processes Appl. 123, No. 6, 1987--2010 (2013; Zbl 1302.60058) Full Text: DOI arXiv
Gnedin, Alexander; Iksanov, Alexander Regenerative compositions in the case of slow variation: a renewal theory approach. (English) Zbl 1252.60025 Electron. J. Probab. 17, Paper No. 77, 19 p. (2012). MSC: 60F05 60K05 60C05 PDFBibTeX XMLCite \textit{A. Gnedin} and \textit{A. Iksanov}, Electron. J. Probab. 17, Paper No. 77, 19 p. (2012; Zbl 1252.60025) Full Text: DOI arXiv
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander A generalization of the Erdős-Turán law for the order of random permutation. (English) Zbl 1248.60014 Comb. Probab. Comput. 21, No. 5, 715-733 (2012). MSC: 60C05 60F05 PDFBibTeX XMLCite \textit{A. Gnedin} et al., Comb. Probab. Comput. 21, No. 5, 715--733 (2012; Zbl 1248.60014) Full Text: DOI arXiv
Iksanov, Alexander On the number of empty boxes in the Bernoulli sieve. II. (English) Zbl 1251.60021 Stochastic Processes Appl. 122, No. 7, 2701-2729 (2012). Reviewer: Erich Häusler (Gießen) MSC: 60F05 60C05 PDFBibTeX XMLCite \textit{A. Iksanov}, Stochastic Processes Appl. 122, No. 7, 2701--2729 (2012; Zbl 1251.60021) Full Text: DOI arXiv
Gnedin, Alexander; Iksanov, Alexander Moments of random sums and Robbins’ problem of optimal stopping. (English) Zbl 1250.62041 J. Appl. Probab. 48, No. 4, 1197-1199 (2011). Reviewer: Krzysztof Szajowski (Wrocław) MSC: 62L15 60G40 60G50 PDFBibTeX XMLCite \textit{A. Gnedin} and \textit{A. Iksanov}, J. Appl. Probab. 48, No. 4, 1197--1199 (2011; Zbl 1250.62041) Full Text: DOI arXiv
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander On \(\Lambda \)-coalescents with dust component. (English) Zbl 1242.60077 J. Appl. Probab. 48, No. 4, 1133-1151 (2011). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J10 60C05 60F05 60G09 60K05 PDFBibTeX XMLCite \textit{A. Gnedin} et al., J. Appl. Probab. 48, No. 4, 1133--1151 (2011; Zbl 1242.60077) Full Text: DOI arXiv
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander The Bernoulli sieve: an overview. (English) Zbl 1357.60026 Drmota, Michael (ed.) et al., Proceeding of the 21st international meeting on probabilistic, combinatorial, and asymptotic methods in the analysis of algorithms (AofA’10), Vienna, Austria, June 28 – July 2, 2010. Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS). Discrete Mathematics and Theoretical Computer Science. Proceedings, 329-342 (2010). MSC: 60F05 60G50 60J10 PDFBibTeX XMLCite \textit{A. Gnedin} et al., in: Proceeding of the 21st international meeting on probabilistic, combinatorial, and asymptotic methods in the analysis of algorithms (AofA'10), Vienna, Austria, June 28 -- July 2, 2010. Nancy: The Association. Discrete Mathematics \& Theoretical Computer Science (DMTCS). 329--342 (2010; Zbl 1357.60026) Full Text: arXiv Link
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander Limit theorems for the number of occupied boxes in the Bernoulli sieve. (English) Zbl 1249.60029 Theory Stoch. Process. 16, No. 2, 44-57 (2010). MSC: 60F05 60C05 PDFBibTeX XMLCite \textit{A. Gnedin} et al., Theory Stoch. Process. 16, No. 2, 44--57 (2010; Zbl 1249.60029) Full Text: arXiv
Iksanov, Alexander; Meiners, Matthias Exponential moments of first passage times and related quantities for random walks. (English) Zbl 1235.60118 Electron. Commun. Probab. 15, 365-375 (2010). Reviewer: Edward Omey (Brussels) MSC: 60K05 60G40 60F99 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{M. Meiners}, Electron. Commun. Probab. 15, 365--375 (2010; Zbl 1235.60118) Full Text: DOI arXiv
Iksanov, Alexander; Meiners, Matthias Exponential rate of almost-sure convergence of intrinsic martingales in supercritical branching random walks. (English) Zbl 1203.60129 J. Appl. Probab. 47, No. 2, 513-525 (2010). Reviewer: Heinrich Hering (Rockenberg) MSC: 60J80 60K05 60G42 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{M. Meiners}, J. Appl. Probab. 47, No. 2, 513--525 (2010; Zbl 1203.60129) Full Text: DOI arXiv
Alsmeyer, G.; Iksanov, A.; Polotskiy, S.; Rösler, U. Exponential rate of \(L_p\)-convergence of intrinsic martingales in supercritical branching random walks. (English) Zbl 1224.60086 Theory Stoch. Process. 15, No. 2, 1-18 (2009). MSC: 60G42 60J80 60G50 60F25 PDFBibTeX XMLCite \textit{G. Alsmeyer} et al., Theory Stoch. Process. 15, No. 2, 1--18 (2009; Zbl 1224.60086) Full Text: arXiv
Iksanov, Alex; Marynych, Alex; Möhle, Martin On the number of collisions in beta(\(2, b\))-coalescents. (English) Zbl 1208.60081 Bernoulli 15, No. 3, 829-845 (2009). Reviewer: Michael Drmota (Wien) MSC: 60J75 60F05 92D15 PDFBibTeX XMLCite \textit{A. Iksanov} et al., Bernoulli 15, No. 3, 829--845 (2009; Zbl 1208.60081) Full Text: DOI arXiv
Alsmeyer, Gerold; Iksanov, Alex A log-type moment result for perpetuities and its application to martingales in supercritical branching random walks. (English) Zbl 1191.60098 Electron. J. Probab. 14, 289-313 (2009). MSC: 60J80 60G42 60K05 PDFBibTeX XMLCite \textit{G. Alsmeyer} and \textit{A. Iksanov}, Electron. J. Probab. 14, 289--313 (2009; Zbl 1191.60098) Full Text: DOI arXiv EuDML EMIS
Alsmeyer, Gerold; Iksanov, Alex; Rösler, Uwe On distributional properties of perpetuities. (English) Zbl 1173.60309 J. Theor. Probab. 22, No. 3, 666-682 (2009). MSC: 60E99 60G50 PDFBibTeX XMLCite \textit{G. Alsmeyer} et al., J. Theor. Probab. 22, No. 3, 666--682 (2009; Zbl 1173.60309) Full Text: DOI arXiv
Gnedin, Alexander V.; Iksanov, Alexander M.; Negadajlov, Pavlo; Rösler, Uwe The Bernoulli sieve revisited. (English) Zbl 1178.60019 Ann. Appl. Probab. 19, No. 4, 1634-1655 (2009). Reviewer: A. J. Stam (Winsum) MSC: 60F05 60C05 60K05 60G55 PDFBibTeX XMLCite \textit{A. V. Gnedin} et al., Ann. Appl. Probab. 19, No. 4, 1634--1655 (2009; Zbl 1178.60019) Full Text: DOI arXiv
Drmota, Michael; Iksanov, Alex; Moehle, Martin; Roesler, Uwe A limiting distribution for the number of cuts needed to isolate the root of a random recursive tree. (English) Zbl 1187.05068 Random Struct. Algorithms 34, No. 3, 319-336 (2009). MSC: 05C80 05C05 PDFBibTeX XMLCite \textit{M. Drmota} et al., Random Struct. Algorithms 34, No. 3, 319--336 (2009; Zbl 1187.05068) Full Text: DOI
Iksanov, Alex; Negadajlov, Pavlo On the number of zero increments of random walks with a barrier. (English) Zbl 1357.60046 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, 243-250 (2008). MSC: 60G50 60F05 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{P. Negadajlov}, 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). 243--250 (2008; Zbl 1357.60046) Full Text: Link
Gnedin, Alexander; Iksanov, Alex; Roesler, Uwe Small parts in the Bernoulli sieve. (English) Zbl 1357.60096 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, 235-242 (2008). MSC: 60K05 60G55 60G18 60F99 PDFBibTeX XMLCite \textit{A. Gnedin} et al., 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). 235--242 (2008; Zbl 1357.60096) Full Text: arXiv Link
Iksanov, Alex; Terletsky, Yurij On asymptotic behavior of certain recursions with random indices of linear growth. (English) Zbl 1178.60020 ProbStat Forum 1, Article No. 06, 62-67 (2008). MSC: 60F05 60K05 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{Y. Terletsky}, ProbStat Forum 1, Article No. 06, 62--67 (2008; Zbl 1178.60020) Full Text: Link
Gnedin, Alexander; Iksanov, Alex; Möhle, Martin On asymptotics of exchangeable coalescents with multiple collisions. (English) Zbl 1159.60016 J. Appl. Probab. 45, No. 4, 1186-1195 (2008). Reviewer: Nicko G. Gamkrelidze (Moskva) MSC: 60G09 60C05 60K05 PDFBibTeX XMLCite \textit{A. Gnedin} et al., J. Appl. Probab. 45, No. 4, 1186--1195 (2008; Zbl 1159.60016) Full Text: DOI arXiv
Iksanov, Alex; Marynych, Alex A note on non-regular martingales. (English) Zbl 1181.60065 Stat. Probab. Lett. 78, No. 17, 3014-3017 (2008). Reviewer: Klaus Schürger (Bonn) MSC: 60G42 60J80 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{A. Marynych}, Stat. Probab. Lett. 78, No. 17, 3014--3017 (2008; Zbl 1181.60065) Full Text: DOI
Iksanov, Alex; Möhle, Martin On the number of jumps of random walks with a barrier. (English) Zbl 1157.60041 Adv. Appl. Probab. 40, No. 1, 206-228 (2008). Reviewer: Aurel Spătaru (Bucureşti) MSC: 60G50 60F05 05C05 60E07 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{M. Möhle}, Adv. Appl. Probab. 40, No. 1, 206--228 (2008; Zbl 1157.60041) Full Text: DOI
Iksanov, O. M. On an integro-functional equation related to fixed points of the smoothing transforms. (Ukrainian. English summary) Zbl 1164.60319 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2007, No. 2, 151-154 (2007). MSC: 60E10 PDFBibTeX XMLCite \textit{O. M. Iksanov}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2007, No. 2, 151--154 (2007; Zbl 1164.60319)
Iksanov, Alex; Möhle, Martin A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree. (English) Zbl 1133.60012 Electron. Commun. Probab. 12, 28-35 (2007). Reviewer: Janos Galambos (Philadelphia) MSC: 60F05 60G50 05C05 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{M. Möhle}, Electron. Commun. Probab. 12, 28--35 (2007; Zbl 1133.60012) Full Text: DOI EuDML
Drmota, Michael; Iksanov, Alex; Moehle, Martin; Roesler, Uwe Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent. (English) Zbl 1129.60069 Stochastic Processes Appl. 117, No. 10, 1404-1421 (2007). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 60J25 60F05 PDFBibTeX XMLCite \textit{M. Drmota} et al., Stochastic Processes Appl. 117, No. 10, 1404--1421 (2007; Zbl 1129.60069) Full Text: DOI
Iksanov, O.; Negadajlov, P. On the supremum of martingale connected with branching random walk. (Ukrainian, English) Zbl 1150.60429 Teor. Jmovirn. Mat. Stat. 74, 44-51 (2006); translation in Theory Probab. Math. Stat. 74, 49-57 (2007). Reviewer: Aleksandr D. Borisenko (Kyïv) MSC: 60J80 60G42 PDFBibTeX XMLCite \textit{O. Iksanov} and \textit{P. Negadajlov}, Teor. Ĭmovirn. Mat. Stat. 74, 44--51 (2006; Zbl 1150.60429); translation in Theory Probab. Math. Stat. 74, 49--57 (2007) Full Text: Link
Iksanov, Aleksandr M. Moment results concerning Galton-Watson processes. (Ukrainian. English summary) Zbl 1142.60389 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2006, No. 4, 159-165 (2006). MSC: 60J80 PDFBibTeX XMLCite \textit{A. M. Iksanov}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2006, No. 4, 159--165 (2006; Zbl 1142.60389)
Iksanov, Aleksander; Polotskiy, Sergey Regular variation in the branching random walk. (English) Zbl 1142.60340 Theory Stoch. Process. 12, No. 28, Part 1-2, 38-54 (2006). MSC: 60G42 60J80 60E99 PDFBibTeX XMLCite \textit{A. Iksanov} and \textit{S. Polotskiy}, Theory Stoch. Process. 12(28), No. 1--2, 38--54 (2006; Zbl 1142.60340) Full Text: arXiv
Iksanov, Alexander M. Moment results concerning Galton-Watson processes. (Ukrainian. English summary) Zbl 1116.60046 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2006, No. 3, 194-200 (2006). MSC: 60J80 PDFBibTeX XMLCite \textit{A. M. Iksanov}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2006, No. 3, 194--200 (2006; Zbl 1116.60046)
Hu, Chin-Yuan; Iksanov, Aleksander M.; Lin, Gwo Dong; Zakusylo, Oleg K. The Hurwitz zeta distribution. (English) Zbl 1118.60011 Aust. N. Z. J. Stat. 48, No. 1, 1-6 (2006). Reviewer: F. W. Steutel (Eindhoven) MSC: 60E07 60E10 11M35 PDFBibTeX XMLCite \textit{C.-Y. Hu} et al., Aust. N. Z. J. Stat. 48, No. 1, 1--6 (2006; Zbl 1118.60011) Full Text: DOI
Iksanov, A. M.; Rösler, U. Some moment results about the limit of a martingale related to the supercritical branching random walk and perpetuities. (English) Zbl 1124.60065 Ukr. Mat. Zh. 58, No. 4, 451-471 (2006) and in Ukr. Math. J. 58, No. 4, 505-528 (2006). MSC: 60J80 60G50 60J85 PDFBibTeX XMLCite \textit{A. M. Iksanov} and \textit{U. Rösler}, Ukr. Mat. Zh. 58, No. 4, 451--471 (2006; Zbl 1124.60065) Full Text: DOI Link
Iksanov, O. M. On the rate of convergence of a regular martingale related to a branching random walk. (Ukrainian, English) Zbl 1097.60013 Ukr. Mat. Zh. 58, No. 3, 326-342 (2006); translation in Ukr. Math. J. 58, No. 3, 368-387 (2006). MSC: 60F15 60G50 60G44 PDFBibTeX XMLCite \textit{O. M. Iksanov}, Ukr. Mat. Zh. 58, No. 3, 326--342 (2006; Zbl 1097.60013); translation in Ukr. Math. J. 58, No. 3, 368--387 (2006) Full Text: DOI arXiv
Iksanov, O. M. A conjecture on the behaviour of tails of fixed points of the shot noise transform. (Ukrainian, English) Zbl 1097.60003 Teor. Jmovirn. Mat. Stat. 69, 52-56 (2004); translation in Theory Probab. Math. Stat. 69, 55-60 (2004). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 60E07 40E05 60K05 PDFBibTeX XMLCite \textit{O. M. Iksanov}, Teor. Ĭmovirn. Mat. Stat. 69, 52--56 (2004; Zbl 1097.60003); translation in Theory Probab. Math. Stat. 69, 55--60 (2004) Full Text: Link