01.01.05 (Probability theory and mathematical statistics)
Birth date:
17.03.1955
E-mail:
Keywords:
Multidimensional regularly varying functions,
Tauberian theorems,
Abelian theorems,
branching processes,
random record processes,
infinitely divisible and subexponential random variables,
random permutations,
random mappings.
Main publications:
A. L. Yakymiv, “A limit theorem for the logarithm of the order of a random $A$-permutation”, Discrete Math. Appl., 20:3 (2010), 247–275
A. L. Yakymiv, Veroyatnostnye prilozheniya tauberovykh teorem, Fizmatlit, M., 2005 , 256 pp.
A. L. Yakimiv, Probabilistic applications of Tauberian theorems, Modern Probability and Statistics, VSP, Leiden, 2005 , viii+225 pp.
A. L. Yakymiv, “Tauberian theorems and asymptotics of infinitely divisible distributions in a cone”, Theory Probab. Appl., 48:3 (2004), 493–505
A. L. Yakymiv, “Multidimensional Tauberian theorems and their application to Bellman–Harris branching processes”, Math. USSR-Sb., 43:3 (1982), 413–425
A. L. Yakymiv, “Limit behavior of the order statistics on the cycle lengths of random $A$-permutations”, Theory Probab. Appl., 69:1 (2024), 117–126
2.
A. L. Yakymiv, “Asymptotics of a number of $A$-mappings with remainder”, Diskr. Mat., 36:3 (2024), 141–148
2023
3.
A. L. Yakymiv, Diskr. Mat., 35:3 (2023)
4.
A. L. Yakymiv, “O sluchainykh otobrazheniyakh s ogranicheniyami na razmery komponent”, 8-ya Mezhdunarodnaya Konferentsiya po Stokhasticheskim Metodam (MKSM-8) (01–08 iyunya 2023 g., pos. Divnomorskoe, Novorossiisk), Teoriya veroyatnostei i ee primeneniya, 68, no. 4, 2023, 874–875
A. L. Yakymiv, “Moment asymptotics of a cycle number in a random A-permutation”, 4rd International Conference on Stochastic Methods (ICSM-7) (June 2–9, 2019 Divnomorskoe, Russia), Theory Probab. Appl., 68, no. 1, 2023, 165–166
2022
6.
A. L. Yakymiv, “Moment Characteristics of a Random Mapping with Restrictions on Component Sizes”, Proc. Steklov Inst. Math., 316 (2022), 356–369
7.
A. L. Yakymiv, “Random Mappings with Constraints on the Cycle Lengths”, J. Math. Sci. (N.Y.), 267:2 (2022), 228–233;
A. L. Yakymiv, “Some properties of regularly varying functions and series in the orthant”, Operator Theory and Harmonic Analysis. OTHA 2020, International Scientific Conference (on) Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis, Springer Proc. Math. Statist., 358, Springer, Cham, 2021, 373–385;
2020
9.
A. L. Yakymiv, “Moment asymptotics of a cycle number in a random A-permutation”, 4rd International Conference on Stochastic Methods (ICSM-4) (June 2–9, 2019 Divnomorskoe, Russia), Theory Probab. Appl., 65, no. 1, 2020, 168–169
2022
10.
A. L. Yakymiv, “Variance of the number of cycles of random $A$-permutation”, Discrete Math. Appl., 32:1 (2022), 59–68
2020
11.
A. L. Yakymiv, “Multivariate regular variation in probability theory”, J. Math. Sci. (N.Y.), 246:4 (2020), 580–586;
A. L. Yakymiv, “Abelian theorem for the regularly varying measure and its density in orthant”, Theory Probab. Appl., 64:3 (2019), 385–400
14.
A. L. Yakymiv, “Multivariate regular variation and multiple power series distributions”, 3rd International Conference on Stochastic Methods (ICSM-3) (June 3–9, 2018 Divnomorskoe, Russia), Theory Probab. Appl., 64, no. 1, 2019, 168–169
2021
15.
A. L. Yakymiv, “Asymptotics with remainder term for moments of the total cycle number of random $A$-permutation”, Discrete Math. Appl., 31:1 (2021), 51–60
16.
A. L. Yakymiv, “Size distribution of the largest component of a random $A$-mapping”, Discrete Math. Appl., 31:2 (2021), 145–153
2018
17.
A. L. Yakymiv, “On the order of random permutation with cycle weights”, Theory Probab. Appl., 63:2 (2018), 209–226
2019
18.
A. L. Yakymiv, “On the distribution of multiple power series regularly varying at the boundary point”, Discrete Math. Appl., 29:6 (2019), 409–421
2018
19.
A. L. Yakymiv, “Multivariate Regular Variation in Probability Theory”, XXXV-th International Seminar on Stability Problems for Stochastic Models (ISSPSM-2018) (24 - 28 September 2018 Perm, Russia), 2018, 88–92
2017
20.
A. L. Yakymiv, “Limit theorems for the logarithm of the order of a random $A$-mapping”, Discrete Math. Appl., 27:5 (2017), 325–338
21.
A. L. Yakymiv, “O logarifme poryadka sluchainoi A-podstanovki”, 2-ya Mezhdunarodnaya Konferentsiya po Stokhasticheskim Metodam (25–30 maya 2017 g., pos. Abrau-Dyurso, Novorossiisk), Teoriya veroyatnostei i eë primeneniya, 62, no. 4, 2017, 838–839
A. L. Yakymiv, “On the Erdős-Turán Law for random permutations with cycle weights”, XXXIV International Seminar on Stability Problems for Stochastic Models (25–29 August 2017 Debrecen, Hungary), 2017, 104–105https://arato.inf.unideb.hu/…/abstbookb5_2017.pdf
23.
A. L. Yakymiv, “Predelnaya teorema dlya raspredeleniya tipa kratnogo stepennogo ryada”, XVIII Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (osennyaya otkrytaya sessiya) (Sochi, 1–8 oktyabrya 2017 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 24, no. 4, 2017, 379–380
24.
A. L. Yakymiv, “Nekotorye zadachi vychislitelnogo kharaktera dlya sluchainykh $A$-podstanovok”, Sovremennye problemy matematicheskogo modelirovaniya, obrabotki izobrazhenii i parallelnykh vychislenii 2017 (pos. Divnomorskoe, g. Gelendzhik, Krasnodarskii krai, 4–11 sentyabrya 2017 g.), v. 2, DGTU, Rostov-na-Donu, 2017, 328–330
25.
A. L. Yakymiv, “O nekotorykh nedavnikh issledovaniyakh v tauberovoi teorii i ikh primeneniyakh v teorii veroyatnostei”, Analiticheskie i vychislitelnye metody v teorii veroyatnostei i eë prilozheniyakh (Konferentsiya, posvyaschennaya 90-letiyu so dnya rozhdeniya A. D. Solovëva. 23–27 oktyabrya 2017 g.), MGU, RUDN, Moskva, 2017, 522–527http://acmpt.ru/…/ACMPT_2017_paper_49.pdf
2016
26.
A. L. Yakymiv, “A Tauberian theorem for multiple power series”, Sb. Math., 207:2 (2016), 286–313
27.
Yakymiv, A. L., “Distribution of the Order in Some Classes of Random Mappings”, XVII-th International Summer Conference on Probability and Statistics (ISCPS-2016) (Pomorie, Bulgaria, 25 June – 1 July 2016), 2016, 42–50http://www.math.bas.bg/~statlab/ISCPS2016/ISCPS
28.
A. L. Yakymiv, “O poryadke sluchainoi $A$-podstanovki”, Nauchnyi doklad, XVII Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (osennyaya otkrytaya sessiya) (Sochi-Dagomys, 1–8 oktyabrya 2016 g., red. I. A. Sokolov, A. R. Simonyan, V. I. Khokhlov), Obozrenie prikladnoi i promyshlennoi matematiki, 23, no. 4, 2016, 398–399http://www.tvp.ru/conferen/vsppmXVII/kisvd116.pdf
2015
29.
A. L. Yakymiv, “On the Number of Components of Fixed Size in a Random $A$-Mapping”, Math. Notes, 97:3 (2015), 468–475
2016
30.
A. L. Yakymiv, “Tauberian theorem for the generation functions of multiple sequences”, Theory Probab. Appl., 60:2 (2016), 343–347
2015
31.
A. L. Yakymiv, “On a number of components in a random $A$-mapping”, Theory Probab. Appl., 59:1 (2015), 114–127
2014
32.
A. L. Yakymiv, “On a Number of Components in a Random A-Mapping”, XVI-th International Summer Conference on Probability and Statistics (ISCPS-2014), Dedicated to the memory of B. A. Sevastyanov (Pomorie, Bulgaria, 21–28 June 2014), 2014, 41–42http://stochastics.fmi.uni-sofia.bg/st/htm/abstracts-2014.pdf
2013
33.
A. L. Yakymiv, “Random $A$-Permutations and Brownian Motion”, Proc. Steklov Inst. Math., 282:3 (2013), 298–318
34.
A. L. Yakymiv, “On the number of cyclic points of random $A$-mapping”, Discrete Math. Appl., 23:5-6 (2013), 503–515
2012
35.
A. L. Yakymiv, “On the number of cyclic points of random $A$-mapping”, Review of Applied and Industrial Mathematics, 19:5 (2012), 768–769
2011
36.
A. L. Yakymiv, “A Generalization of the Curtiss Theorem for Moment Generating Functions”, Math. Notes, 90:6 (2011), 920–924
2010
37.
A. L. Yakymiv, “A limit theorem for the logarithm of the order of a random $A$-permutation”, Discrete Math. Appl., 20:3 (2010), 247–275
38.
A. L. Yakymiv, “Asymptotics of the Moments of the Number of Cycles of a Random $A$-Permutation”, Math. Notes, 88:5 (2010), 759–766
2011
39.
A. L. Yakymiv, “Asymptotics at infinity of negatively binomial infinitely divisible distributions”, Theory Probab. Appl., 55:2 (2011), 342–351
2010
40.
A. L. Yakymiv, “O logarifme poryadka sluchainoi $A$-podstanovki”, Tezisy doklada na XVII Vserossiiskoi Shkole-kollokviume po stokhasticheskim metodam (Kislovodsk, 1–8 maya 2010 g.), Obozrenie prikladnoi i promyshlennoi matematiki, 17, no. 3, 2010, 375–376
2009
41.
A. L. Yakymiv, “On the Number of $A$-Mappings”, Math. Notes, 86:1 (2009), 132–139
2010
42.
A. L. Yakymiv, “Limit Theorem for the Middle Members of Ordered Cycle Lengths in Random $A$-Permutations”, Theory Probab. Appl., 54:1 (2010), 114–128
2007
43.
A. L. Yakymiv, “Random $A$-Permutations: Convergence to a Poisson Process”, Math. Notes, 81:6 (2007), 840–846
2008
44.
A. L. Yakymiv, “Limit theorem for the general number of cycles in a random $A$-permutation”, Theory Probab. Appl., 52:1 (2008), 133–146
2006
45.
A. L. Yakymiv, “Dopustimye funktsii dlya konusa i asimptotika bezgranichno delimykh raspredelenii”, Publ. Inst. Math. (Beograd) (N.S.), 80(94) (2006), 273–286
2005
46.
A. L. Yakimiv, Probabilistic applications of Tauberian theorems, Modern Probability and Statistics, VSP, Leiden, 2005 , viii+225 pp.
47.
A. L. Yakymiv, “On the distribution of the $m$th maximal cycle lengths of random $A$-permutations”, Discrete Math. Appl., 15:5 (2005), 527–546
48.
A. L. Yakymiv, Veroyatnostnye prilozheniya tauberovykh teorem, Fizmatlit, M., 2005 , 256 pp.
2004
49.
A. L. Yakymiv, “Admissible Functions for the Positive Octant”, Math. Notes, 76:3 (2004), 432–437
2003
50.
A. L. Yakymiv, “Tauberian Theorem for the Stieltjes Transform”, Math. Notes, 73:2 (2003), 280–288
2004
51.
A. Baltrūnas, A. L. Yakymiv, “Second-order asymptotic behavior of subexponential infinitely divisible distributions”, Theory Probab. Appl., 48:4 (2004), 703–710
52.
A. L. Yakymiv, “Tauberian theorems and asymptotics of infinitely divisible distributions in a cone”, Theory Probab. Appl., 48:3 (2004), 493–505
2003
53.
A. L. Yakymiv, “On the asymptotics of the density of an infinitely divisible distribution at infinity”, Theory Probab. Appl., 47:1 (2003), 114–122
2002
54.
A. L. Yakymiv, “Some applications of Tauberian theorems to probability theory”, Dédié à Jovan Karamata, Publ. Inst. Math. (Beograd) (N.S.), 71(85) (2002), 133–147
A. L. Yakymiv, “Probabilistic applications of Tauberian theorems”, Proceedings of the Seminar on Stability Problems for Stochastic Models, Part III (Eger, 2001), J. Math. Sci. (New York), 112, no. 2, 2002, 4235–4245
2000
56.
A. L. Yakymiv, “On permutations with cycle lengths from a random set”, Discrete Math. Appl., 10:6 (2000), 543–551
57.
A. L. Yakymiv, “Explicit estimates for the asymptotics of subexponential infinitely divisible distribution functions”, Math. Notes, 67:2 (2000), 239–244
1997
58.
A. L. Yakymiv, “The asymptotics of multidimensional infinitely divisible distributions”, Proceedings of the XVII Seminar on Stability Problems for Stochastic Models, Part III (Kazan', 1995), J. Math. Sci. (New York), 84, no. 3, 1997, 1197–1207
A. L. Yakymiv, “Some properties of subexponential distributions”, Math. Notes, 62:1 (1997), 116–121
1995
60.
A. L. Yakymiv, “Asymptotics of the $k$th record times”, Theory Probab. Appl., 40:4 (1995), 794–797
61.
A. L. Yakymiv, “Sufficient conditions for the subexponential property of the convolution of two distributions”, Math. Notes, 58:5 (1995), 1227–1230
1994
62.
A. L. Yakymiv, “Asymptotics of the density of an infinitely divisible distribution at infinity”, Stability problems for stochastic models (Kirillov, 1989), J. Math. Sci., 69, no. 4, 1994, 1248–1256
A. L. Yakymiv, “Limit theorems for random $A$-permutations”, Probabilistic methods in discrete mathematics (Petrozavodsk, 1992), Progr. Pure Appl. Discrete Math., 1, VSP, Utrecht, 1993, 459–469
64.
A. L. Yakymiv, “Some classes of permutations with cycle lengths in a given set”, Discrete Math. Appl., 3:2 (1993), 213–220
1990
65.
A. L. Yakymiv, “Asimptotika plotnosti bezgranichno delimogo raspredeleniya na beskonechnosti”, Problemy ustoichivosti stokhasticheskikh modelei, Trudy seminara, VNIISI, M., 1990, 123–131
1991
66.
A. L. Yakymiv, “Permutations with cycle lengths in a given set”, Discrete Math. Appl., 1:1 (1991), 105–116
1990
67.
A. L. Yakymiv, “On the number of $A$-permutations”, Math. USSR-Sb., 66:1 (1990), 301–311
1987
68.
A. L. Jakymiv, “Asymptotic Behaviour of a Class of Infinitely Divisible Distributions”, Theory Probab. Appl., 32:4 (1987), 628–639
1988
69.
A. L. Yakymiv, “Asymptotics of the survival probability of critical Bellman–Harris branching processes”, Proc. Steklov Inst. Math., 177 (1988), 189–217
1987
70.
A. L. Yakymiv, “An asymptotic property of state change times of a stochastic record processes”, Theory Probab. Appl., 31:3 (1987), 508–512
1986
71.
A. L. Yakymiv, “Asymptotic behavior of the subcritical and supercritical reduced branching processes”, Theory Probab. Appl., 30:1 (1986), 201–206
1984
72.
A. L. Yakymiv, “Two limit theorems for critical Bellman-Harris branching processes”, Math. Notes, 36:1 (1984), 546–550
1983
73.
A. L. Yakymiv, “Multidimensional Tauberian theorems of Karamata, Keldysh and Littlewood type”, Sov. Math. Dokl., 27 (1983), 657–659
1982
74.
A. L. Yakymiv, “Multidimensional Tauberian theorems and their application to Bellman–Harris branching processes”, Math. USSR-Sb., 43:3 (1982), 413–425
1981
75.
A. L. Yakymiv, “Reduced branching processes”, Theory Probab. Appl., 25:3 (1981), 584–588
On the order of a random permutation A. L. Yakymiv Principle Seminar of the Department of Probability Theory, Moscow State University September 27, 2017 16:45
2024
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