Persons: Yakymiv, Arsen Lubomirovich

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Yakymiv, Arsen Lubomirovich

Total publications:	75 (75)
in MathSciNet:	55 (55)
in zbMATH:	41 (41)
in Web of Science:	35 (35)
in Scopus:	40 (40)
Cited articles:	51
Citations:	237
Presentations:	9

Number of views:
This page:	6586
Abstract pages:	17599
Full texts:	5997
References:	1893

Head Scientist Researcher

Doctor of physico-mathematical sciences (1998)

Speciality:

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

https://www.mathnet.ru/eng/person17733

List of publications on Google Scholar

https://zbmath.org/authors/?q=ai:yakymiv.a-l

https://mathscinet.ams.org/mathscinet/MRAuthorID/193543

https://elibrary.ru/author_items.asp?authorid=10271

https://www.webofscience.com/wos/author/record/A-9285-2017

Full list of publications:

scientific publications

by years

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by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	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
2.	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
3.	A. L. Yakymiv, “Multidimensional Tauberian theorems and their application to Bellman–Harris branching processes”, Math. USSR-Sb., 43:3 (1982), 413–425
4.	A. L. Yakymiv, “Reduced branching processes”, Theory Probab. Appl., 25:3 (1981), 584–588
5.	A. L. Yakymiv, “Limit theorem for the general number of cycles in a random $A$-permutation”, Theory Probab. Appl., 52:1 (2008), 133–146
6.	A. L. Yakymiv, “An asymptotic property of state change times of a stochastic record processes”, Theory Probab. Appl., 31:3 (1987), 508–512
7.	A. L. Yakymiv, “A Tauberian theorem for multiple power series”, Sb. Math., 207:2 (2016), 286–313
8.	A. L. Yakymiv, “Random $A$-Permutations: Convergence to a Poisson Process”, Math. Notes, 81:6 (2007), 840–846
9.	A. L. Yakymiv, “On a number of components in a random $A$-mapping”, Theory Probab. Appl., 59:1 (2015), 114–127
10.	A. L. Yakymiv, “On the number of cyclic points of random $A$-mapping”, Discrete Math. Appl., 23:5-6 (2013), 503–515
11.	A. L. Yakymiv, “A Generalization of the Curtiss Theorem for Moment Generating Functions”, Math. Notes, 90:6 (2011), 920–924
12.	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
13.	A. L. Yakymiv, “Some properties of subexponential distributions”, Math. Notes, 62:1 (1997), 116–121
14.	A. L. Yakymiv, “Permutations with cycle lengths in a given set”, Discrete Math. Appl., 1:1 (1991), 105–116
15.	A. L. Yakymiv, “On the number of $A$-permutations”, Math. USSR-Sb., 66:1 (1990), 301–311
16.	A. L. Jakymiv, “Asymptotic Behaviour of a Class of Infinitely Divisible Distributions”, Theory Probab. Appl., 32:4 (1987), 628–639
17.	A. L. Yakymiv, “On the order of random permutation with cycle weights”, Theory Probab. Appl., 63:2 (2018), 209–226
18.	A. L. Yakymiv, “Tauberian theorems and asymptotics of infinitely divisible distributions in a cone”, Theory Probab. Appl., 48:3 (2004), 493–505
19.	A. L. Yakymiv, “Some classes of permutations with cycle lengths in a given set”, Discrete Math. Appl., 3:2 (1993), 213–220
20.	A. L. Yakymiv, “Asymptotic behavior of the subcritical and supercritical reduced branching processes”, Theory Probab. Appl., 30:1 (1986), 201–206
21.	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
22.	A. L. Yakymiv, “Variance of the number of cycles of random $A$-permutation”, Discrete Math. Appl., 32:1 (2022), 59–68
23.	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
24.	A. L. Yakymiv, “On the Number of $A$-Mappings”, Math. Notes, 86:1 (2009), 132–139
25.	A. L. Yakymiv, “On permutations with cycle lengths from a random set”, Discrete Math. Appl., 10:6 (2000), 543–551
26.	Arsen L. Yakymiv, “Local Limit Theorem for the Multiple Power Series Distributions”, Mathematics, 8:11 (2020), 2067 , 8 pp. ;	3 ^[x]
27.	A. L. Yakymiv, “Abelian theorem for the regularly varying measure and its density in orthant”, Theory Probab. Appl., 64:3 (2019), 385–400
28.	A. L. Yakymiv, “Size distribution of the largest component of a random $A$-mapping”, Discrete Math. Appl., 31:2 (2021), 145–153
29.	A. L. Yakymiv, “On the distribution of multiple power series regularly varying at the boundary point”, Discrete Math. Appl., 29:6 (2019), 409–421
30.	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	3 ^[x]
31.	A. L. Yakymiv, “Asymptotics of the Moments of the Number of Cycles of a Random $A$-Permutation”, Math. Notes, 88:5 (2010), 759–766
32.	A. L. Yakymiv, “On the asymptotics of the density of an infinitely divisible distribution at infinity”, Theory Probab. Appl., 47:1 (2003), 114–122
33.	A. L. Yakymiv, “Explicit estimates for the asymptotics of subexponential infinitely divisible distribution functions”, Math. Notes, 67:2 (2000), 239–244
34.	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	3 ^[x]
35.	A. L. Yakymiv, “Sufficient conditions for the subexponential property of the convolution of two distributions”, Math. Notes, 58:5 (1995), 1227–1230
36.	A. L. Yakymiv, “Asymptotics of the survival probability of critical Bellman–Harris branching processes”, Proc. Steklov Inst. Math., 177 (1988), 189–217
37.	A. L. Yakymiv, “Multivariate regular variation in probability theory”, J. Math. Sci. (N.Y.), 246:4 (2020), 580–586 ;	2 ^[x]
38.	A. L. Yakymiv, “Limit theorems for the logarithm of the order of a random $A$-mapping”, Discrete Math. Appl., 27:5 (2017), 325–338
39.	A. L. Yakymiv, “Tauberian theorem for the generation functions of multiple sequences”, Theory Probab. Appl., 60:2 (2016), 343–347
40.	A. L. Yakymiv, “Asymptotics at infinity of negatively binomial infinitely divisible distributions”, Theory Probab. Appl., 55:2 (2011), 342–351
41.	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	2 ^[x]
42.	A. L. Yakymiv, “Two limit theorems for critical Bellman-Harris branching processes”, Math. Notes, 36:1 (1984), 546–550
43.	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
44.	A. L. Yakymiv, “Moment Characteristics of a Random Mapping with Restrictions on Component Sizes”, Proc. Steklov Inst. Math., 316 (2022), 356–369
45.	A. L. Yakymiv, “Random Mappings with Constraints on the Cycle Lengths”, J. Math. Sci. (N.Y.), 267:2 (2022), 228–233 ;	1 ^[x]
46.	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
47.	A. L. Yakymiv, “On the Number of Components of Fixed Size in a Random $A$-Mapping”, Math. Notes, 97:3 (2015), 468–475
48.	A. Baltrūnas, A. L. Yakymiv, “Second-order asymptotic behavior of subexponential infinitely divisible distributions”, Theory Probab. Appl., 48:4 (2004), 703–710
49.	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	1 ^[x]
50.	A. L. Yakymiv, “Asymptotics of the $k$th record times”, Theory Probab. Appl., 40:4 (1995), 794–797
51.	A. L. Yakymiv, “Multidimensional Tauberian theorems of Karamata, Keldysh and Littlewood type”, Sov. Math. Dokl., 27 (1983), 657–659
52.	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
53.	A. L. Yakymiv, “Asymptotics of a number of $A$-mappings with remainder”, Diskr. Mat., 36:3 (2024), 141–148
54.	A. L. Yakymiv, Diskr. Mat., 35:3 (2023)
55.	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
56.	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 ;
57.	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
58.	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, 104–105 https://arato.inf.unideb.hu/…/abstbookb5_2017.pdf
59.	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
60.	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
61.	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, 522–527 http://acmpt.ru/…/ACMPT_2017_paper_49.pdf
62.	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, 42–50 http://www.math.bas.bg/~statlab/ISCPS2016/ISCPS
63.	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, 398–399 http://www.tvp.ru/conferen/vsppmXVII/kisvd116.pdf
64.	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, 41–42 http://stochastics.fmi.uni-sofia.bg/st/htm/abstracts-2014.pdf
65.	A. L. Yakymiv, “Random $A$-Permutations and Brownian Motion”, Proc. Steklov Inst. Math., 282:3 (2013), 298–318
66.	A. L. Yakymiv, “On the number of cyclic points of random $A$-mapping”, Review of Applied and Industrial Mathematics, 19:5 (2012), 768–769
67.	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
68.	A. L. Yakymiv, “Dopustimye funktsii dlya konusa i asimptotika bezgranichno delimykh raspredelenii”, Publ. Inst. Math. (Beograd) (N.S.), 80(94) (2006), 273–286
69.	A. L. Yakimiv, Probabilistic applications of Tauberian theorems, Modern Probability and Statistics, VSP, Leiden, 2005 , viii+225 pp.
70.	A. L. Yakymiv, Veroyatnostnye prilozheniya tauberovykh teorem, Fizmatlit, M., 2005 , 256 pp.
71.	A. L. Yakymiv, “Admissible Functions for the Positive Octant”, Math. Notes, 76:3 (2004), 432–437
72.	A. L. Yakymiv, “Tauberian Theorem for the Stieltjes Transform”, Math. Notes, 73:2 (2003), 280–288
73.	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
74.	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
75.	A. L. Yakymiv, “Asimptotika plotnosti bezgranichno delimogo raspredeleniya na beskonechnosti”, Problemy ustoichivosti stokhasticheskikh modelei, Trudy seminara, VNIISI, M., 1990, 123–131

Presentations in Math-Net.Ru

1.	A number of cyclic points of random A-mapping A. L. Yakymiv 9th International Conference on Stochastic Methods June 6, 2024 11:15
2.	О числе отображений с ограничениями на размеры компонент A. L. Yakymiv Branching processes and discrete mathematics, a conference dedicated to the 100th anniversary of Sevastyanov's birth October 3, 2023 17:00
3.	Асимптотическое поведение некоторых характеристик случайных подстановок и случайных отображений A. L. Yakymiv Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS May 25, 2021 16:00
4.	Моментные характеристики случайного отображения с ограничениями на размеры компонент A. L. Yakymiv Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS April 27, 2021 16:00
5.	О дисперсии числа циклов случайной $A$-подстановки A. L. Yakymiv Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS October 27, 2020 16:00
6.	Распределение объёма наибольшей компоненты случайного $A$-отображения A. L. Yakymiv Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS October 22, 2019 16:00
7.	Абелева теорема для правильно меняющейся меры и её плотности в октанте A. L. Yakymiv Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS November 8, 2018 13:00
8.	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
9.	Семинар, посвященный памяти Юрия Васильевича Прохорова. Тауберова теорема для кратных степенных рядов A. L. Yakymiv Seminar of the Department of Probability Theory "Stochastic Analysis: Theory and Applications", Steklov Mathematical Institute of RAS December 15, 2014 13:00

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Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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