Edit Profile (opens in new tab) Yakymiv, Arsen Lubomirovich Author ID: yakymiv.a-l Published as: Yakymiv, A. L.; Yakymiv, Arsen L.; Yakimiv, A. L. more...less External Links: Math-Net.Ru Documents Indexed: 57 Publications since 1981, including 2 Books Co-Authors 56 single-authored all top 5 Serials 14 Theory of Probability and its Applications 11 Mathematical Notes 11 Discrete Mathematics and Applications 3 Teoriya Veroyatnosteĭ i eë Primeneniya 3 Proceedings of the Steklov Institute of Mathematics 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Mathematics of the USSR, Sbornik 2 Journal of Mathematical Sciences (New York) 1 Matematicheskie Zametki 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Soviet Mathematics. Doklady 1 Sbornik: Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 47 Probability theory and stochastic processes (60-XX) 13 Combinatorics (05-XX) 10 Sequences, series, summability (40-XX) 6 Real functions (26-XX) 4 Integral transforms, operational calculus (44-XX) 2 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 128 times in 72 Documents Cited by ▼ Year ▼ Probabilistic applications of Tauberian theorems. Translated by Andrei V. Kolchin. Zbl 1114.60001Yakimiv, A. L. 18 2005 A limit theorem for the logarithm of the order of a random \(A\)-permutation. Zbl 1226.05014Yakymiv, A. L. 10 2010 Stochastic applications of Tauberian theorems. (Вероятностные приложения Тауберовых теорем.) Zbl 1114.60002Yakymiv, A. L. 8 2005 On the distribution of the \(m\)th maximal cycle lengths of random \(A\)-permutations. Zbl 1101.60004Yakymiv, A. L. 6 2005 Asymptotic behavior of the probability of continuation of critical Bellman-Harris branching processes. Zbl 0607.60075Yakymiv, A. L. 4 1986 Multidimensional Tauberian theorems and their application to Bellmann- Harris branching processes. Zbl 0469.60085Yakymiv, A. L. 4 1981 Limit theorem for the general number of cycles in a random \(A\)-permutation. Zbl 1145.60008Yakymiv, A. L. 4 2008 Limit theorem for the middle members of ordered cycle lengths in random \(A\)-permutations. Zbl 1197.60027Yakymiv, A. L. 4 2009 Some properties of subexponential distributions. Zbl 0923.60016Yakymiv, A. L. 4 1997 A generalization of the Curtiss theorem for moment generating functions. Zbl 1294.60046Yakymiv, A. L. 4 2011 Asymptotic behaviour of a class of infinitely divisible distributions. Zbl 0645.60021Yakymiv, A. L. 3 1987 Reduced branching processes. Zbl 0463.60070Yakymiv, A. L. 3 1981 Multidimensional Tauberian theorems and their application to Bellman- Harris branching processes. Zbl 0494.60087Yakymiv, A. L. 3 1982 Random \(A\)-permutations: convergence to a Poisson process. Zbl 1134.60008Yakymiv, A. L. 3 2007 A Tauberian theorem for multiple power series. Zbl 1351.40009Yakymiv, A. L. 3 2016 Limit theorems for random \(A\)-permutations. Zbl 0810.60020Yakymiv, A. L. 3 1993 On the number of cyclic points of random \(A\)-mapping. Zbl 1326.60016Yakymiv, A. L. 3 2013 On a number of components in a random \(A\)-mapping. Zbl 1314.60039Yakymiv, A. L. 3 2015 Substitutions with cycle lengths from a fixed set. Zbl 0728.05004Yakymiv, A. L. 2 1991 On the order of random permutation with cycle weights. Zbl 1398.05013Yakymiv, A. L. 2 2018 Asymptotics with remainder term for moments of the total cycle number of random \(A\)-permutation. Zbl 1457.60021Yakymiv, Arsen L. 2 2021 On the number of \(A\)-permutations. Zbl 0738.05003Yakymiv, A. L. 2 1990 Asymptotic behaviour of the subcritical and supercritical reduced branching processes. Zbl 0569.60085Yakymiv, A. L. 2 1985 Asymptotic behaviour of a class of infinitely divisible distributions. Zbl 0677.60013Yakymiv, A. L. 2 1987 Sufficient conditions for the subexponential property of the convolution of two distributions. Zbl 0861.60024Yakymiv, A. L. 2 1995 Asymptotics of the moments of the number of cycles of a random \(A\)-permutation. Zbl 1234.05013Yakymiv, A. L. 2 2010 On the number of \(A\)-mappings. Zbl 1176.60005Yakymiv, A. L. 2 2009 Asymptotics at infinity of negative binomial infinitely divisible distributions. Zbl 1221.60018Yakymiv, A. L. 2 2011 On the asymptotics of the density of an infinitely divisible distribution at infinity. Zbl 1033.60010Yakymiv, A. L. 2 2002 Probabilistic applications of Tauberian theorems. Zbl 1008.60004Yakymiv, A. L. 2 2002 Limit theorems for the logarithm of the order of a random \(A\)-mapping. Zbl 1412.60050Yakymiv, Arsen L. 2 2017 Tauberian theorem for generating functions of multiple series. Zbl 1347.40004Yakymiv, A. L. 2 2016 Size distribution of the largest component of a random \(a\)-mapping. Zbl 1469.60051Yakymiv, Arsen L. 1 2021 Two limit theorems for critical Bellman-Harris branching processes. Zbl 0549.60080Yakymiv, A. L. 1 1984 Multidimensional Tauberian theorems of Karamata, Keldysh and Littlewood type. Zbl 0597.40005Yakymiv, A. L. 1 1983 Asymptotic properties of subcritical and supercritical reduced branching processes. Zbl 0657.60105Yakymiv, A. L. 1 1986 Asymptotics of the survival probability of critical Bellman-Harris branching processes. Zbl 0665.60087Yakymiv, A. L. 1 1988 Abelian theorem for the regularly varying measure and its density in orthant. Zbl 1426.28007Yakymiv, A. L. 1 2019 On permutations with cycle lengths in a random set. Zbl 1046.60009Yakymiv, A. L. 1 2000 Second-order asymptotic behavior of subexponential infinitely divisible distributions. Zbl 1058.60011Baltrunas, A.; Yakymiv, A. L. 1 2003 On the distribution of multiple power series regularly varying at the boundary point. Zbl 1448.60041Yakymiv, Arsen L. 1 2019 On the number of components of fixed size in a random \(A\)-mapping. Zbl 1326.60017Yakymiv, A. L. 1 2015 Asymptotics with remainder term for moments of the total cycle number of random \(A\)-permutation. Zbl 1457.60021Yakymiv, Arsen L. 2 2021 Size distribution of the largest component of a random \(a\)-mapping. Zbl 1469.60051Yakymiv, Arsen L. 1 2021 Abelian theorem for the regularly varying measure and its density in orthant. Zbl 1426.28007Yakymiv, A. L. 1 2019 On the distribution of multiple power series regularly varying at the boundary point. Zbl 1448.60041Yakymiv, Arsen L. 1 2019 On the order of random permutation with cycle weights. Zbl 1398.05013Yakymiv, A. L. 2 2018 Limit theorems for the logarithm of the order of a random \(A\)-mapping. Zbl 1412.60050Yakymiv, Arsen L. 2 2017 A Tauberian theorem for multiple power series. Zbl 1351.40009Yakymiv, A. L. 3 2016 Tauberian theorem for generating functions of multiple series. Zbl 1347.40004Yakymiv, A. L. 2 2016 On a number of components in a random \(A\)-mapping. Zbl 1314.60039Yakymiv, A. L. 3 2015 On the number of components of fixed size in a random \(A\)-mapping. Zbl 1326.60017Yakymiv, A. L. 1 2015 On the number of cyclic points of random \(A\)-mapping. Zbl 1326.60016Yakymiv, A. L. 3 2013 A generalization of the Curtiss theorem for moment generating functions. Zbl 1294.60046Yakymiv, A. L. 4 2011 Asymptotics at infinity of negative binomial infinitely divisible distributions. Zbl 1221.60018Yakymiv, A. L. 2 2011 A limit theorem for the logarithm of the order of a random \(A\)-permutation. Zbl 1226.05014Yakymiv, A. L. 10 2010 Asymptotics of the moments of the number of cycles of a random \(A\)-permutation. Zbl 1234.05013Yakymiv, A. L. 2 2010 Limit theorem for the middle members of ordered cycle lengths in random \(A\)-permutations. Zbl 1197.60027Yakymiv, A. L. 4 2009 On the number of \(A\)-mappings. Zbl 1176.60005Yakymiv, A. L. 2 2009 Limit theorem for the general number of cycles in a random \(A\)-permutation. Zbl 1145.60008Yakymiv, A. L. 4 2008 Random \(A\)-permutations: convergence to a Poisson process. Zbl 1134.60008Yakymiv, A. L. 3 2007 Probabilistic applications of Tauberian theorems. Translated by Andrei V. Kolchin. Zbl 1114.60001Yakimiv, A. L. 18 2005 Stochastic applications of Tauberian theorems. (Вероятностные приложения Тауберовых теорем.) Zbl 1114.60002Yakymiv, A. L. 8 2005 On the distribution of the \(m\)th maximal cycle lengths of random \(A\)-permutations. Zbl 1101.60004Yakymiv, A. L. 6 2005 Second-order asymptotic behavior of subexponential infinitely divisible distributions. Zbl 1058.60011Baltrunas, A.; Yakymiv, A. L. 1 2003 On the asymptotics of the density of an infinitely divisible distribution at infinity. Zbl 1033.60010Yakymiv, A. L. 2 2002 Probabilistic applications of Tauberian theorems. Zbl 1008.60004Yakymiv, A. L. 2 2002 On permutations with cycle lengths in a random set. Zbl 1046.60009Yakymiv, A. L. 1 2000 Some properties of subexponential distributions. Zbl 0923.60016Yakymiv, A. L. 4 1997 Sufficient conditions for the subexponential property of the convolution of two distributions. Zbl 0861.60024Yakymiv, A. L. 2 1995 Limit theorems for random \(A\)-permutations. Zbl 0810.60020Yakymiv, A. L. 3 1993 Substitutions with cycle lengths from a fixed set. Zbl 0728.05004Yakymiv, A. L. 2 1991 On the number of \(A\)-permutations. Zbl 0738.05003Yakymiv, A. L. 2 1990 Asymptotics of the survival probability of critical Bellman-Harris branching processes. Zbl 0665.60087Yakymiv, A. L. 1 1988 Asymptotic behaviour of a class of infinitely divisible distributions. Zbl 0645.60021Yakymiv, A. L. 3 1987 Asymptotic behaviour of a class of infinitely divisible distributions. Zbl 0677.60013Yakymiv, A. L. 2 1987 Asymptotic behavior of the probability of continuation of critical Bellman-Harris branching processes. Zbl 0607.60075Yakymiv, A. L. 4 1986 Asymptotic properties of subcritical and supercritical reduced branching processes. Zbl 0657.60105Yakymiv, A. L. 1 1986 Asymptotic behaviour of the subcritical and supercritical reduced branching processes. Zbl 0569.60085Yakymiv, A. L. 2 1985 Two limit theorems for critical Bellman-Harris branching processes. Zbl 0549.60080Yakymiv, A. L. 1 1984 Multidimensional Tauberian theorems of Karamata, Keldysh and Littlewood type. Zbl 0597.40005Yakymiv, A. L. 1 1983 Multidimensional Tauberian theorems and their application to Bellman- Harris branching processes. Zbl 0494.60087Yakymiv, A. L. 3 1982 Multidimensional Tauberian theorems and their application to Bellmann- Harris branching processes. Zbl 0469.60085Yakymiv, A. L. 4 1981 Reduced branching processes. Zbl 0463.60070Yakymiv, A. L. 3 1981 all cited Publications top 5 cited Publications all top 5 Cited by 60 Authors 23 Yakymiv, Arsen Lubomirovich 5 Vatutin, Vladimir Alekseevich 3 Kruglov, Victor M. 2 Betz, Volker 2 Hung, Tran Loc 2 Kien, Phan Tri 2 Klesov, Oleg I. 2 Leipus, Remigijus 2 Manstavičius, Eugenijus 2 Schäfer, Helge 2 Šiaulys, Jonas 2 Steinebach, Josef G. 2 Timashëv, Aleksandr Nikolaevich 2 Watanabe, Toshiro 2 Xiong, Jie 2 Zeindler, Dirk 2 Zubkov, Andreĭ Mikhaĭlovich 1 Beck, Sergej 1 Bingham, Nicholas Hugh 1 Blath, Jochen 1 Buldygin, Valeriĭ Volodymyrovych 1 Chen, Xia 1 Davydov, Yu. A. 1 Didier, Gustavo 1 Drozhzhinov, Yuriĭ Nikolaevich 1 D’yakonova, Elena Evgen’evna 1 Elboim, Dor 1 Geluk, Jaap L. 1 Golikova, Nina N. 1 Ivchenko, Grigoriĭ Ivanovich 1 Joutard, Cyrille 1 Kaleta, Kamil 1 Khlopin, Dmitriĭ Valer’evich 1 Lagerås, Andreas Nordvall 1 Lebedev, Alekseĭ Viktorovich 1 Leonenko, Nikolai N. 1 Meerschaert, Mark Marvin 1 Molchanov, Ilya S. 1 Mühlbauer, Julian 1 Neyt, Lenny 1 Olenko, Andriy Yakovych 1 Ostaszewski, Adam J. 1 Pakes, Anthony G. 1 Paulauskas, Vygantas Ionovič 1 Peled, Ron 1 Platonova, Mariya V. 1 Resnick, Sidney Ira 1 Sagitov, Serik 1 Samorodnitsky, Gennady Pinkhosovich 1 Scheutzow, Michael K. R. 1 Sgibnev, Mikhaĭl Sergeevich 1 Shimura, Takaaki 1 Soboleva, M. V. 1 Sztonyk, Paweł 1 Terdik, György H. 1 Vindas, Jasson 1 Wang, Yinfeng 1 Yamamuro, Kouji 1 Yarovaya, Elena B. 1 Yin, Chuancun all top 5 Cited in 33 Serials 11 Discrete Mathematics and Applications 10 Mathematical Notes 6 Theory of Probability and its Applications 4 Journal of Mathematical Analysis and Applications 3 Bernoulli 3 Proceedings of the Steklov Institute of Mathematics 2 Journal of Applied Probability 2 Journal of Soviet Mathematics 2 Statistics & Probability Letters 2 Journal of Theoretical Probability 2 Journal of Mathematical Sciences (New York) 2 Sankhyā. Series A 1 Communications in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Metrika 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Acta Mathematica Vietnamica 1 Monatshefte für Mathematik 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Stochastic Analysis and Applications 1 The Annals of Applied Probability 1 Automation and Remote Control 1 Communications in Statistics. Theory and Methods 1 SIAM Journal on Mathematical Analysis 1 Theory of Probability and Mathematical Statistics 1 St. Petersburg Mathematical Journal 1 Integral Transforms and Special Functions 1 Extremes 1 Acta Mathematica Sinica. English Series 1 Methodology and Computing in Applied Probability 1 Acta Mathematica Scientia. Series B. (English Edition) all top 5 Cited in 15 Fields 59 Probability theory and stochastic processes (60-XX) 13 Combinatorics (05-XX) 11 Statistics (62-XX) 6 Real functions (26-XX) 4 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year