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:	236
Presentations:	9

Number of views:
This page:	6529
Abstract pages:	17338
Full texts:	5951
References:	1844

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

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common list

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

Articles

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

65.	A. L. Yakimiv, Probabilistic applications of Tauberian theorems, Modern Probability and Statistics, VSP, Leiden, 2005 , viii+225 pp.
66.	A. L. Yakymiv, Veroyatnostnye prilozheniya tauberovykh teorem, Fizmatlit, M., 2005 , 256 pp.
Proceedings

67.	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
68.	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
69.	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
70.	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
71.	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
72.	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
73.	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
74.	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 ; ;
75.	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 ; ;

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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