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
Iksanov, Alexander; Pilipenko, Andrey; Povar, Ben Functional limit theorems for random walks perturbed by positive alpha-stable jumps. (English) Zbl 07666834 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 07666834) 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
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
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
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
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
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
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
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
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; 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, 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
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; 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
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