## Iksanov, Aleksander M.

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 Author ID: iksanov.aleksander-m Published as: Iksanov, Alexander; Iksanov, Alex; Iksanov, Aleksander M.; Iksanov, O. M.; Iksanov, A. M.; Iksanov, Aleksandr M.; Iksanov, A.; Iksanov, Alexander M.; Iksanov, Aleksander; Iksanov, O. more...less External Links: MGP · Math-Net.Ru
 Documents Indexed: 102 Publications since 1998, including 1 Book Reviewing Activity: 136 Reviews Co-Authors: 40 Co-Authors with 82 Joint Publications 652 Co-Co-Authors
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### Co-Authors

 20 single-authored 20 Marynych, Alexander V. 13 Gnedin, Alexander V. 13 Meiners, Matthias 9 Kabluchko, Zakhar A. 8 Buraczewski, Dariusz 8 Möhle, Martin 7 Rösler, Uwe 6 Alsmeyer, Gerold 3 Dyszewski, Piotr 3 Jurek, Zbigniew J. 3 Kim, Chesoong 3 Kolesko, Konrad 3 Mallein, Bastien 3 Negadajlov, Pavlo 3 Pilipenko, Andrey Yu. 3 Vatutin, Vladimir Alekseevich 2 Bouzeffour, Fethi 2 Drmota, Michael 2 Jedidi, Wissem 2 Marynych, Alex 2 Proskurin, Daniil P. 2 Rashytov, Bohdan 2 Samoilenko, Igor V. 2 Topchiĭ, Valentin Alekseevich 1 Aurzada, Frank 1 Dong, Congzao 1 Dovgay, Bohdan 1 Hu, Chinyuan 1 Kondratenko, Oleh 1 Kotelnikova, Valeriya 1 Liang, Xingang 1 Lin, Gwo Dong 1 Liu, Quansheng 1 Nikitin, Anatolii V. 1 Polotskiy, Sergey 1 Polotskiy, Serguei 1 Roitershtein, Alexander 1 Schreiber, Bertram M. 1 Shevchenko, Georgiy M. 1 Terletsky, Yurij
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### Serials

 13 Journal of Applied Probability 11 Stochastic Processes and their Applications 8 Visnyk. Seriya: Fizyko-Matematychni Nauky. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka 7 Statistics & Probability Letters 7 Electronic Journal of Probability 5 Theory of Stochastic Processes 4 Electronic Communications in Probability 4 Teoriya Ĭmovirnosteĭ ta Matematychna Statystyka 3 Advances in Applied Probability 3 Bernoulli 2 Journal of Mathematical Analysis and Applications 2 Ukraïns’kyĭ Matematychnyĭ Zhurnal 2 The Annals of Probability 2 Journal of Theoretical Probability 2 The Annals of Applied Probability 2 Australian & New Zealand Journal of Statistics 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Ukrainian Mathematical Journal 1 Reviews in Mathematical Physics 1 Theory of Probability and its Applications 1 Journal of Number Theory 1 Mathematische Nachrichten 1 Studia Scientiarum Mathematicarum Hungarica 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Probability Theory and Related Fields 1 Random Structures & Algorithms 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Combinatorics, Probability and Computing 1 Opuscula Mathematica 1 Extremes 1 Stochastic Models 1 Stochastics 1 ProbStat Forum 1 Probability and its Applications 1 PLISKA. Studia Mathematica
all top 5

### Fields

 94 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 3 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

82 Publications have been cited 562 times in 256 Documents Cited by Year
A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree. Zbl 1133.60012
Iksanov, Alex; Möhle, Martin
2007
On distributional properties of perpetuities. Zbl 1173.60309
Alsmeyer, Gerold; Iksanov, Alex; Rösler, Uwe
2009
A limiting distribution for the number of cuts needed to isolate the root of a random recursive tree. Zbl 1187.05068
Drmota, Michael; Iksanov, Alex; Moehle, Martin; Roesler, Uwe
2009
Renewal theory for perturbed random walks and similar processes. Zbl 1382.60004
Iksanov, Alexander
2016
Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent. Zbl 1129.60069
Drmota, Michael; Iksanov, Alex; Moehle, Martin; Roesler, Uwe
2007
Elementary fixed points of the BRW smoothing transforms with infinite number of summands. Zbl 1081.60017
Iksanov, Aleksander M.
2004
A log-type moment result for perpetuities and its application to martingales in supercritical branching random walks. Zbl 1191.60098
Alsmeyer, Gerold; Iksanov, Alex
2009
On the number of jumps of random walks with a barrier. Zbl 1157.60041
Iksanov, Alex; Möhle, Martin
2008
Limit theorems for renewal shot noise processes with eventually decreasing response functions. Zbl 1335.60023
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias
2014
On asymptotics of exchangeable coalescents with multiple collisions. Zbl 1159.60016
Gnedin, Alexander; Iksanov, Alex; Möhle, Martin
2008
Functional limit theorems for renewal shot noise processes with increasing response functions. Zbl 1302.60058
Iksanov, Alexander
2013
The Bernoulli sieve revisited. Zbl 1178.60019
Gnedin, Alexander V.; Iksanov, Alexander M.; Negadajlov, Pavlo; Rösler, Uwe
2009
The Bernoulli sieve: an overview. Zbl 1357.60026
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander
2010
Asymptotics of random processes with immigration. I: Scaling limits. Zbl 1386.60122
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias
2017
On the number of collisions in beta($$2, b$$)-coalescents. Zbl 1208.60081
Iksanov, Alex; Marynych, Alex; Möhle, Martin
2009
Limit theorems for the number of occupied boxes in the Bernoulli sieve. Zbl 1249.60029
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander
2010
Functional limit theorems for the number of occupied boxes in the Bernoulli sieve. Zbl 1366.60069
Alsmeyer, Gerold; Iksanov, Alexander; Marynych, Alexander
2017
Weak convergence of finite-dimensional distributions of the number of empty boxes in the Bernoulli sieve. Zbl 1350.60015
Iksanov, A. M.; Marynych, A. V.; Vatutin, V. A.
2015
On $$\Lambda$$-coalescents with dust component. Zbl 1242.60077
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander
2011
Regenerative compositions in the case of slow variation: a renewal theory approach. Zbl 1252.60025
Gnedin, Alexander; Iksanov, Alexander
2012
Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
2016
Small parts in the Bernoulli sieve. Zbl 1357.60096
Gnedin, Alexander; Iksanov, Alex; Roesler, Uwe
2008
Power and exponential moments of the number of visits and related quantities for perturbed random walks. Zbl 1318.60048
Alsmeyer, Gerold; Iksanov, Alexander; Meiners, Matthias
2015
Exponential rate of almost-sure convergence of intrinsic martingales in supercritical branching random walks. Zbl 1203.60129
Iksanov, Alexander; Meiners, Matthias
2010
A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk. Zbl 1356.60055
Iksanov, Alexander; Kabluchko, Zakhar
2016
Fractionally integrated inverse stable subordinators. Zbl 1353.60032
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy
2017
Asymptotics of random processes with immigration. II: Convergence to stationarity. Zbl 1377.60046
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias
2017
$$\Lambda$$-coalescents: a survey. Zbl 1322.60152
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander
2014
Exponential rate of $$L_p$$-convergence of intrinsic martingales in supercritical branching random walks. Zbl 1224.60086
Alsmeyer, G.; Iksanov, A.; Polotskiy, S.; Rösler, U.
2009
Shot noise distributions and selfdecomposability. Zbl 1042.60026
Iksanov, Aleksander M.; Jurek, Zbigniew J.
2003
A new factorization property of the selfdecomposable probability measures. Zbl 1046.60002
Iksanov, Aleksander M.; Jurek, Zbigniew J.; Schreiber, Bertram M.
2004
Functional limit theorems for divergent perpetuities in the contractive case. Zbl 1307.60026
Buraczewski, Dariusz; Iksanov, Alexander
2015
On the number of empty boxes in the Bernoulli sieve. I. Zbl 1295.60029
Iksanov, Alexander
2013
On the number of empty boxes in the Bernoulli sieve. II. Zbl 1251.60021
Iksanov, Alexander
2012
Stable-like fluctuations of Biggins’ martingales. Zbl 1448.60172
Iksanov, Alexander; Kolesko, Konrad; Meiners, Matthias
2019
Rate of convergence in the law of large numbers for supercritical general multi-type branching processes. Zbl 1327.60061
Iksanov, Alexander; Meiners, Matthias
2015
Fixed points of multivariate smoothing transforms with scalar weights. Zbl 1341.60022
Iksanov, Alexander; Meiners, Matthias
2015
On fixed points of Poisson shot noise transforms. Zbl 1030.60011
Iksanov, Aleksander M.; Jurek, Zbigniew J.
2002
A generalization of the Erdős-Turán law for the order of random permutation. Zbl 1248.60014
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander
2012
Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Zbl 1337.60021
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
2016
On the derivative martingale in a branching random walk. Zbl 07367505
Buraczewski, Dariusz; Iksanov, Alexander; Mallein, Bastien
2021
On asymptotics of the beta coalescents. Zbl 1323.60021
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin
2014
On the rate of convergence of a regular martingale related to a branching random walk. Zbl 1097.60013
Iksanov, O. M.
2006
Regular variation in the branching random walk. Zbl 1142.60340
Iksanov, Aleksander; Polotskiy, Sergey
2006
The Hurwitz zeta distribution. Zbl 1118.60011
Hu, Chin-Yuan; Iksanov, Aleksander M.; Lin, Gwo Dong; Zakusylo, Oleg K.
2006
Null recurrence and transience of random difference equations in the contractive case. Zbl 1400.60093
Alsmeyer, Gerold; Buraczewski, Dariusz; Iksanov, Alexander
2017
Functional limit theorems for the number of busy servers in a $$\mathrm{G}/\mathrm{G}/\infty$$ queue. Zbl 1396.60035
Iksanov, Alexander; Jedidi, Wissem; Bouzeffour, Fethi
2018
On perpetuities with gamma-like tails. Zbl 1401.60127
Buraczewski, Dariusz; Dyszewski, Piotr; Iksanov, Alexander; Marynych, Alexander
2018
On the maximum of a perturbed random walk. Zbl 1294.60059
Iksanov, Alexander; Pilipenko, Andrey
2014
Exponential moments of first passage times and related quantities for random walks. Zbl 1235.60118
Iksanov, Alexander; Meiners, Matthias
2010
Some moment results about the limit of a martingale related to the supercritical branching random walk and perpetuities. Zbl 1124.60065
Iksanov, A. M.; Rösler, U.
2006
On a Pitman-Yor problem. Zbl 1063.60014
Iksanov, Aleksander M.; Kim, Che-Soong
2004
New explicit examples of fixed points of Poisson shot noise transforms. Zbl 1071.60008
Iksanov, Aleksander; Kim, Che Soong
2004
Weak convergence of random processes with immigration at random times. Zbl 1434.60068
Dong, Congzao; Iksanov, Alexander
2020
A functional limit theorem for general shot noise processes. Zbl 1434.60106
Iksanov, Alexander; Rashytov, Bohdan
2020
On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking I. Zbl 1469.60040
Buraczewski, Dariusz; Dovgay, Bohdan; Iksanov, Alexander
2020
Fluctuations of Biggins’ martingales at complex parameters. Zbl 1479.60177
Iksanov, Alexander; Kolesko, Konrad; Meiners, Matthias
2020
On nested infinite occupancy scheme in random environment. Zbl 1457.60013
Gnedin, Alexander; Iksanov, Alexander
2020
On $$L^p$$-convergence of the Biggins martingale with complex parameter. Zbl 1440.60078
Iksanov, Alexander; Liang, Xingang; Liu, Quansheng
2019
A law of the iterated logarithm for the number of occupied boxes in the Bernoulli sieve. Zbl 1386.60107
Iksanov, Alexander; Jedidi, Wissem; Bouzeffour, Fethi
2017
Functional limit theorems for the maxima of perturbed random walk and divergent perpetuities in the $$M_1$$-topology. Zbl 1379.60037
Iksanov, Alexander; Pilipenko, Andrey; Samoilenko, Igor
2017
The interpolation between the classical and monotone independence given by the twisted CCR. Zbl 1106.46051
Proskurin, Daniil P.; Iksanov, Aleksander M.
2003
On perpetuities related to the size-biased distributions. Zbl 1026.60016
Iksanov, Aleksandr M.
2002
Moments of random sums and Robbins’ problem of optimal stopping. Zbl 1250.62041
Gnedin, Alexander; Iksanov, Alexander
2011
Infinite divisibility of infinite sums of lower records: a simple proof. Zbl 1062.60009
Iksanov, Aleksander M.
2004
Exponential moments of first passage times and related quantities for Lévy processes. Zbl 1330.60063
Aurzada, Frank; Iksanov, Alexander; Meiners, Matthias
2015
Moment convergence of first-passage times in renewal theory. Zbl 1350.60091
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias
2016
A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051
Iksanov, Alexander; Kabluchko, Zakhar
2018
Weak convergence of the number of vertices at intermediate levels of random recursive trees. Zbl 1405.60031
Iksanov, Alexander; Kabluchko, Zakhar
2018
A functional limit theorem for locally perturbed random walks. Zbl 1357.60035
Iksanov, A.; Pilipenko, A.
2016
On the supremum of martingale connected with branching random walk. Zbl 1150.60429
Iksanov, O.; Negadajlov, P.
2006
Parameter estimation for the radioactive contamination process. Zbl 1008.62662
Iksanov, A. M.
2001
On asymptotic behavior of certain recursions with random indices of linear growth. Zbl 1178.60020
Iksanov, Alex; Terletsky, Yurij
2008
On an integro-functional equation related to fixed points of the smoothing transforms. Zbl 1164.60319
Iksanov, O. M.
2007
A note on non-regular martingales. Zbl 1181.60065
Iksanov, Alex; Marynych, Alex
2008
The generalized CCR: representations and enveloping $$C^ *$$-algebra. Zbl 1090.46053
Kim, Che Soong; Proskurin, Daniil P.; Iksanov, Aleksander M.; Kabluchko, Zakhar A.
2003
A two-type Bellman-Harris process initiated by a large number of particles. Zbl 1321.60180
Vatutin, Vladimir; Iksanov, Alexander; Topchii, Valentin
2015
Random walks in a strongly sparse random environment. Zbl 1434.60306
Buraczewski, Dariusz; Dyszewski, Piotr; Iksanov, Alexander; Marynych, Alexander
2020
Functional limit theorems for Galton-Watson processes with very active immigration. Zbl 1375.60075
Iksanov, Alexander; Kabluchko, Zakhar
2018
Tail behaviour of suprema of perturbed random walks. Zbl 1363.60068
Iksanov, Alexander; Polotskiy, Serguei
2016
The collision spectrum of $$\Lambda$$-coalescents. Zbl 1404.60104
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin
2018
Random walks in a moderately sparse random environment. Zbl 1467.60085
Buraczewski, Dariusz; Dyszewski, Piotr; Iksanov, Alexander; Marynych, Alexander; Roitershtein, Alexander
2019
On the derivative martingale in a branching random walk. Zbl 07367505
Buraczewski, Dariusz; Iksanov, Alexander; Mallein, Bastien
2021
Weak convergence of random processes with immigration at random times. Zbl 1434.60068
Dong, Congzao; Iksanov, Alexander
2020
A functional limit theorem for general shot noise processes. Zbl 1434.60106
Iksanov, Alexander; Rashytov, Bohdan
2020
On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking I. Zbl 1469.60040
Buraczewski, Dariusz; Dovgay, Bohdan; Iksanov, Alexander
2020
Fluctuations of Biggins’ martingales at complex parameters. Zbl 1479.60177
Iksanov, Alexander; Kolesko, Konrad; Meiners, Matthias
2020
On nested infinite occupancy scheme in random environment. Zbl 1457.60013
Gnedin, Alexander; Iksanov, Alexander
2020
Random walks in a strongly sparse random environment. Zbl 1434.60306
Buraczewski, Dariusz; Dyszewski, Piotr; Iksanov, Alexander; Marynych, Alexander
2020
Stable-like fluctuations of Biggins’ martingales. Zbl 1448.60172
Iksanov, Alexander; Kolesko, Konrad; Meiners, Matthias
2019
On $$L^p$$-convergence of the Biggins martingale with complex parameter. Zbl 1440.60078
Iksanov, Alexander; Liang, Xingang; Liu, Quansheng
2019
Random walks in a moderately sparse random environment. Zbl 1467.60085
Buraczewski, Dariusz; Dyszewski, Piotr; Iksanov, Alexander; Marynych, Alexander; Roitershtein, Alexander
2019
Functional limit theorems for the number of busy servers in a $$\mathrm{G}/\mathrm{G}/\infty$$ queue. Zbl 1396.60035
Iksanov, Alexander; Jedidi, Wissem; Bouzeffour, Fethi
2018
On perpetuities with gamma-like tails. Zbl 1401.60127
Buraczewski, Dariusz; Dyszewski, Piotr; Iksanov, Alexander; Marynych, Alexander
2018
A functional limit theorem for the profile of random recursive trees. Zbl 1406.60051
Iksanov, Alexander; Kabluchko, Zakhar
2018
Weak convergence of the number of vertices at intermediate levels of random recursive trees. Zbl 1405.60031
Iksanov, Alexander; Kabluchko, Zakhar
2018
Functional limit theorems for Galton-Watson processes with very active immigration. Zbl 1375.60075
Iksanov, Alexander; Kabluchko, Zakhar
2018
The collision spectrum of $$\Lambda$$-coalescents. Zbl 1404.60104
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin
2018
Asymptotics of random processes with immigration. I: Scaling limits. Zbl 1386.60122
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias
2017
Functional limit theorems for the number of occupied boxes in the Bernoulli sieve. Zbl 1366.60069
Alsmeyer, Gerold; Iksanov, Alexander; Marynych, Alexander
2017
Fractionally integrated inverse stable subordinators. Zbl 1353.60032
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander; Shevchenko, Georgiy
2017
Asymptotics of random processes with immigration. II: Convergence to stationarity. Zbl 1377.60046
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias
2017
Null recurrence and transience of random difference equations in the contractive case. Zbl 1400.60093
Alsmeyer, Gerold; Buraczewski, Dariusz; Iksanov, Alexander
2017
A law of the iterated logarithm for the number of occupied boxes in the Bernoulli sieve. Zbl 1386.60107
Iksanov, Alexander; Jedidi, Wissem; Bouzeffour, Fethi
2017
Functional limit theorems for the maxima of perturbed random walk and divergent perpetuities in the $$M_1$$-topology. Zbl 1379.60037
Iksanov, Alexander; Pilipenko, Andrey; Samoilenko, Igor
2017
Renewal theory for perturbed random walks and similar processes. Zbl 1382.60004
Iksanov, Alexander
2016
Local universality for real roots of random trigonometric polynomials. Zbl 1361.30009
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
2016
A central limit theorem and a law of the iterated logarithm for the Biggins martingale of the supercritical branching random walk. Zbl 1356.60055
Iksanov, Alexander; Kabluchko, Zakhar
2016
Weak convergence of renewal shot noise processes in the case of slowly varying normalization. Zbl 1337.60021
Iksanov, Alexander; Kabluchko, Zakhar; Marynych, Alexander
2016
Moment convergence of first-passage times in renewal theory. Zbl 1350.60091
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias
2016
A functional limit theorem for locally perturbed random walks. Zbl 1357.60035
Iksanov, A.; Pilipenko, A.
2016
Tail behaviour of suprema of perturbed random walks. Zbl 1363.60068
Iksanov, Alexander; Polotskiy, Serguei
2016
Weak convergence of finite-dimensional distributions of the number of empty boxes in the Bernoulli sieve. Zbl 1350.60015
Iksanov, A. M.; Marynych, A. V.; Vatutin, V. A.
2015
Power and exponential moments of the number of visits and related quantities for perturbed random walks. Zbl 1318.60048
Alsmeyer, Gerold; Iksanov, Alexander; Meiners, Matthias
2015
Functional limit theorems for divergent perpetuities in the contractive case. Zbl 1307.60026
Buraczewski, Dariusz; Iksanov, Alexander
2015
Rate of convergence in the law of large numbers for supercritical general multi-type branching processes. Zbl 1327.60061
Iksanov, Alexander; Meiners, Matthias
2015
Fixed points of multivariate smoothing transforms with scalar weights. Zbl 1341.60022
Iksanov, Alexander; Meiners, Matthias
2015
Exponential moments of first passage times and related quantities for Lévy processes. Zbl 1330.60063
Aurzada, Frank; Iksanov, Alexander; Meiners, Matthias
2015
A two-type Bellman-Harris process initiated by a large number of particles. Zbl 1321.60180
Vatutin, Vladimir; Iksanov, Alexander; Topchii, Valentin
2015
Limit theorems for renewal shot noise processes with eventually decreasing response functions. Zbl 1335.60023
Iksanov, Alexander; Marynych, Alexander; Meiners, Matthias
2014
$$\Lambda$$-coalescents: a survey. Zbl 1322.60152
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander
2014
On asymptotics of the beta coalescents. Zbl 1323.60021
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander; Möhle, Martin
2014
On the maximum of a perturbed random walk. Zbl 1294.60059
Iksanov, Alexander; Pilipenko, Andrey
2014
Functional limit theorems for renewal shot noise processes with increasing response functions. Zbl 1302.60058
Iksanov, Alexander
2013
On the number of empty boxes in the Bernoulli sieve. I. Zbl 1295.60029
Iksanov, Alexander
2013
Regenerative compositions in the case of slow variation: a renewal theory approach. Zbl 1252.60025
Gnedin, Alexander; Iksanov, Alexander
2012
On the number of empty boxes in the Bernoulli sieve. II. Zbl 1251.60021
Iksanov, Alexander
2012
A generalization of the Erdős-Turán law for the order of random permutation. Zbl 1248.60014
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander
2012
On $$\Lambda$$-coalescents with dust component. Zbl 1242.60077
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander
2011
Moments of random sums and Robbins’ problem of optimal stopping. Zbl 1250.62041
Gnedin, Alexander; Iksanov, Alexander
2011
The Bernoulli sieve: an overview. Zbl 1357.60026
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander
2010
Limit theorems for the number of occupied boxes in the Bernoulli sieve. Zbl 1249.60029
Gnedin, Alexander; Iksanov, Alexander; Marynych, Alexander
2010
Exponential rate of almost-sure convergence of intrinsic martingales in supercritical branching random walks. Zbl 1203.60129
Iksanov, Alexander; Meiners, Matthias
2010
Exponential moments of first passage times and related quantities for random walks. Zbl 1235.60118
Iksanov, Alexander; Meiners, Matthias
2010
On distributional properties of perpetuities. Zbl 1173.60309
Alsmeyer, Gerold; Iksanov, Alex; Rösler, Uwe
2009
A limiting distribution for the number of cuts needed to isolate the root of a random recursive tree. Zbl 1187.05068
Drmota, Michael; Iksanov, Alex; Moehle, Martin; Roesler, Uwe
2009
A log-type moment result for perpetuities and its application to martingales in supercritical branching random walks. Zbl 1191.60098
Alsmeyer, Gerold; Iksanov, Alex
2009
The Bernoulli sieve revisited. Zbl 1178.60019
Gnedin, Alexander V.; Iksanov, Alexander M.; Negadajlov, Pavlo; Rösler, Uwe
2009
On the number of collisions in beta($$2, b$$)-coalescents. Zbl 1208.60081
Iksanov, Alex; Marynych, Alex; Möhle, Martin
2009
Exponential rate of $$L_p$$-convergence of intrinsic martingales in supercritical branching random walks. Zbl 1224.60086
Alsmeyer, G.; Iksanov, A.; Polotskiy, S.; Rösler, U.
2009
On the number of jumps of random walks with a barrier. Zbl 1157.60041
Iksanov, Alex; Möhle, Martin
2008
On asymptotics of exchangeable coalescents with multiple collisions. Zbl 1159.60016
Gnedin, Alexander; Iksanov, Alex; Möhle, Martin
2008
Small parts in the Bernoulli sieve. Zbl 1357.60096
Gnedin, Alexander; Iksanov, Alex; Roesler, Uwe
2008
On asymptotic behavior of certain recursions with random indices of linear growth. Zbl 1178.60020
Iksanov, Alex; Terletsky, Yurij
2008
A note on non-regular martingales. Zbl 1181.60065
Iksanov, Alex; Marynych, Alex
2008
A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree. Zbl 1133.60012
Iksanov, Alex; Möhle, Martin
2007
Asymptotic results concerning the total branch length of the Bolthausen-Sznitman coalescent. Zbl 1129.60069
Drmota, Michael; Iksanov, Alex; Moehle, Martin; Roesler, Uwe
2007
On an integro-functional equation related to fixed points of the smoothing transforms. Zbl 1164.60319
Iksanov, O. M.
2007
On the rate of convergence of a regular martingale related to a branching random walk. Zbl 1097.60013
Iksanov, O. M.
2006
Regular variation in the branching random walk. Zbl 1142.60340
Iksanov, Aleksander; Polotskiy, Sergey
2006
The Hurwitz zeta distribution. Zbl 1118.60011
Hu, Chin-Yuan; Iksanov, Aleksander M.; Lin, Gwo Dong; Zakusylo, Oleg K.
2006
Some moment results about the limit of a martingale related to the supercritical branching random walk and perpetuities. Zbl 1124.60065
Iksanov, A. M.; Rösler, U.
2006
On the supremum of martingale connected with branching random walk. Zbl 1150.60429
Iksanov, O.; Negadajlov, P.
2006
Elementary fixed points of the BRW smoothing transforms with infinite number of summands. Zbl 1081.60017
Iksanov, Aleksander M.
2004
A new factorization property of the selfdecomposable probability measures. Zbl 1046.60002
Iksanov, Aleksander M.; Jurek, Zbigniew J.; Schreiber, Bertram M.
2004
On a Pitman-Yor problem. Zbl 1063.60014
Iksanov, Aleksander M.; Kim, Che-Soong
2004
New explicit examples of fixed points of Poisson shot noise transforms. Zbl 1071.60008
Iksanov, Aleksander; Kim, Che Soong
2004
Infinite divisibility of infinite sums of lower records: a simple proof. Zbl 1062.60009
Iksanov, Aleksander M.
2004
Shot noise distributions and selfdecomposability. Zbl 1042.60026
Iksanov, Aleksander M.; Jurek, Zbigniew J.
2003
The interpolation between the classical and monotone independence given by the twisted CCR. Zbl 1106.46051
Proskurin, Daniil P.; Iksanov, Aleksander M.
2003
The generalized CCR: representations and enveloping $$C^ *$$-algebra. Zbl 1090.46053
Kim, Che Soong; Proskurin, Daniil P.; Iksanov, Aleksander M.; Kabluchko, Zakhar A.
2003
On fixed points of Poisson shot noise transforms. Zbl 1030.60011
Iksanov, Aleksander M.; Jurek, Zbigniew J.
2002
On perpetuities related to the size-biased distributions. Zbl 1026.60016
Iksanov, Aleksandr M.
2002
Parameter estimation for the radioactive contamination process. Zbl 1008.62662
Iksanov, A. M.
2001
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### Cited by 268 Authors

 54 Iksanov, Aleksander M. 20 Marynych, Alexander V. 16 Meiners, Matthias 16 Möhle, Martin 11 Alsmeyer, Gerold 11 Buraczewski, Dariusz 9 Gnedin, Alexander V. 9 Holmgren, Cecilia Ingrid 9 Kabluchko, Zakhar A. 8 Kersting, Götz-Dietrich 7 Bertoin, Jean 7 Liu, Quansheng 7 Mallein, Bastien 7 Olvera-Cravioto, Mariana 6 Liang, Xingang 6 Siri-Jegousse, Arno 5 Dyszewski, Piotr 5 Kolesko, Konrad 5 Rösler, Uwe 4 Cai, Xing Shi 4 Damek, Ewa 4 Freund, Fabian 4 Huang, Chunmao 4 Pitman, Jim William 4 Poly, Guillaume 3 Angst, Jürgen 3 Baur, Erich 3 Behme, Anita Diana 3 Delmas, Jean-François 3 Drmota, Michael 3 Hitczenko, Paweł 3 Jelenković, Predrag R. 3 Jurek, Zbigniew J. 3 Kapica, Rafał 3 Kevei, Péter 3 Kołodziejek, Bartosz 3 Lindner, Alexander M. 3 Maejima, Makoto 3 Mahmoud, Hosam M. 3 Pang, Guodong 3 Roitershtein, Alexander 3 Wakolbinger, Anton 2 Addario-Berry, Louigi 2 Aoyama, Takahiro 2 Aurzada, Frank 2 Biggins, J. D. 2 Bose, Arup 2 Bouzeffour, Fethi 2 Boxma, Onno Johan 2 Broutin, Nicolas 2 Comets, Francis M. 2 Dahmer, Iulia 2 de Blasi, Pierpaolo 2 Devroye, Luc P. J. A. 2 Dovgay, Bohdan 2 Flasche, Hendrik 2 Gangopadhyay, Sreela 2 Haas, Bénédicte 2 Hénard, Olivier 2 Huillet, Thierry E. 2 Jedidi, Wissem 2 Kalpathy, Ravi 2 Lehtomaa, Jaakko 2 Maillard, Pascal 2 Mandjes, Michel Robertus Hendrikus 2 Mentemeier, Sebastian 2 Proskurin, Daniil P. 2 Prünster, Igor 2 Rashytov, Bohdan 2 Samoilenko, Igor V. 2 Schweinsberg, Jason Ross 2 Skerman, Fiona 2 Tang, Wenpin 2 Trapman, Pieter 2 Ueda, Yohei 2 Vatutin, Vladimir Alekseevich 2 Wang, Xiaoqiang 2 Wesołowski, Jacek 2 Yakubovich, Yuri V. 2 Yuan, Linglong 2 Zhou, Yuhang 1 Abraham, Romain 1 Aldous, David John 1 Angus, John E. 1 Arbel, Julyan 1 Arbisser, Ilana M. 1 Baccelli, François Louis 1 Bally, Vlad 1 Bandyopadhyay, Antar 1 Bansaye, Vincent 1 Barabesi, Lucio 1 Barndorff-Nielsen, Ole Eiler 1 Basrak, Bojan 1 Bassetti, Federico 1 Basu, Ranojoy 1 Beckman, Erin 1 Beghin, Luisa 1 Belloum, Mohamed Ali 1 Berestycki, Julien 1 Berestycki, Nathanaël ...and 168 more Authors
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### Cited in 70 Serials

 31 Stochastic Processes and their Applications 22 Journal of Applied Probability 18 Advances in Applied Probability 16 The Annals of Applied Probability 15 Electronic Journal of Probability 9 Statistics & Probability Letters 9 Electronic Communications in Probability 8 Probability Theory and Related Fields 7 The Annals of Probability 7 Journal of Theoretical Probability 7 Bernoulli 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 5 Journal of Mathematical Analysis and Applications 4 Stochastic Models 4 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Theoretical Population Biology 3 Transactions of the American Mathematical Society 3 Random Structures & Algorithms 3 Combinatorics, Probability and Computing 3 Journal of Difference Equations and Applications 3 Modern Stochastics. Theory and Applications 2 Journal of Mathematical Biology 2 Mathematische Nachrichten 2 Tokyo Journal of Mathematics 2 Probability and Mathematical Statistics 2 Queueing Systems 2 Discrete Mathematics and Applications 2 Theory of Probability and Mathematical Statistics 2 The Electronic Journal of Combinatorics 2 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 2 Extremes 2 Methodology and Computing in Applied Probability 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Proceedings of the Steklov Institute of Mathematics 2 Frontiers of Mathematics in China 2 Stochastics and Quality Control 1 Journal of Statistical Physics 1 Lithuanian Mathematical Journal 1 Ukrainian Mathematical Journal 1 Theory of Probability and its Applications 1 American Journal of Mathematics 1 Annals of the Institute of Statistical Mathematics 1 Applied Mathematics and Computation 1 Journal of Number Theory 1 Journal of Statistical Planning and Inference 1 Proceedings of the American Mathematical Society 1 Insurance Mathematics & Economics 1 Acta Applicandae Mathematicae 1 Physica D 1 Algorithmica 1 International Journal of Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Finance and Stochastics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Brazilian Journal of Probability and Statistics 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Stochastics 1 Statistical Methodology 1 Journal of Statistical Theory and Practice 1 Electronic Journal of Statistics 1 Science China. Mathematics 1 Stochastic Systems 1 Bayesian Analysis 1 JSIAM Letters 1 Journal of Statistical Distributions and Applications 1 Discrete Analysis
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### Cited in 28 Fields

 241 Probability theory and stochastic processes (60-XX) 32 Biology and other natural sciences (92-XX) 27 Combinatorics (05-XX) 15 Statistics (62-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Real functions (26-XX) 7 Computer science (68-XX) 6 Functions of a complex variable (30-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Difference and functional equations (39-XX) 4 Number theory (11-XX) 4 Partial differential equations (35-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Operations research, mathematical programming (90-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Numerical analysis (65-XX) 2 Special functions (33-XX) 2 Quantum theory (81-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX)