Persons: Khartov, Alexey Andreevich

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Khartov, Alexey Andreevich

Statistics Math-Net.Ru
in MathSciNet:	14 (14)
in zbMATH:	5 (5)
in Web of Science:	7 (7)
in Scopus:	11 (11)

Candidate of physico-mathematical sciences (2014)

Speciality:

01.01.05 (Probability theory and mathematical statistics)

E-mail:

UDC:

519.21

Subject:

Characteristic functions and generalized Levy-Khinchine formulas. Convergence, relative and stochastic compactness of sequences of distributions. Infinitely divisible and rationally (quasi-)infinitely divisible distributions. Decompositions of probability laws. Approximation of random processes and fields.

Main publications:

I. A. Alexeev, A. A. Khartov, “A criterion and a Cramér-Wold device for quasi-infinite divisibility for discrete multivariate probability laws”, Electronic Journal of Probability, 28 (2023), 1–17 https://doi.org/10.1214/23-EJP1032
I. A. Alexeev, A. A. Khartov, “Spectral representations of characteristic functions of discrete probability laws”, Bernoulli, 29:2 (2023), 1392–1409 https://doi.org/10.3150/22-BEJ1503
A. A. Khartov, “On weak convergence of quasi-infinitely divisible laws”, Pacific Journal of Mathematics, 322:2 (2023), 341–367 (Published online) https://doi.org/10.2140/pjm.2023.322.341, arXiv: https://arxiv.org/abs/2204.13667
A. A. Khartov, “A criterion of quasi-infinite divisibility for discrete laws”, Statistics & Probability Letters, 185 (2022), 109436 https://www.sciencedirect.com/science/article/pii/S0167715222000426?via
A. A. Khartov, “Criteria of relative and stochastic compactness for distributions of sums of independent random variables”, Theory Probab. Appl., 63:1 (2018), 57–71
A. A. Khartov, “Asymptotic analysis of average case approximation complexity of Hilbert space valued random elements”, J. Complexity, 31:6 (2015), 835-866 http://www.sciencedirect.com/science/article/pii/S0885064X1500062X, arXiv: https://arxiv.org/abs/1410.4320

https://www.mathnet.ru/eng/person30502

List of publications on Google Scholar

https://elibrary.ru/author_items.asp?authorid=21711103

https://orcid.org/0000-0003-4134-083X

https://www.webofscience.com/wos/author/record/F-8433-2015

https://www.scopus.com/authid/detail.url?authorId=55549693400

List of scientific publications:

scientific publications

by years

by types

by times cited

common list

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


2024
1.	A. A. Khartov, I. A. Limar, “Asymptotic analysis in multivariate worst case approximation with Gaussian kernels”, Journal of Complexity, 2024 (to appear) , arXiv: https://arxiv.org/abs/2306.14239

2023
2.	I. A. Alexeev, A. A. Khartov, “Spectral representations of characteristic functions of discrete probability laws”, Bernoulli, 29:2 (2023), 1392–1409 https://doi.org/10.3150/22-BEJ1503	2 ^[x]
3.	A. A. Khartov, “On weak convergence of quasi-infinitely divisible laws”, Pacific Journal of Mathematics, 322:2 (2023), 341–367 (Published online) https://doi.org/10.2140/pjm.2023.322.341, arXiv: https://arxiv.org/abs/2204.13667	1 ^[x]
4.	I. A. Alexeev, A. A. Khartov, “A criterion and a Cramér-Wold device for quasi-infinite divisibility for discrete multivariate probability laws”, Electronic Journal of Probability, 28 (2023), 1–17 https://doi.org/10.1214/23-EJP1032
5.	A. A. Khartov, Some criteria of rational infinite divisibility for distribution functions, 2023 , 17 pp., arXiv: 2305.14524

2022
6.	A. A. Khartov, I. A. Limar, “Asymptotic analysis in multivariate average case approximation with Gaussian kernels”, Journal of Complexity, 70 (2022), 101631 https://www.sciencedirect.com/science/article/pii/S0885064X21000868	3 ^[x]
7.	A. A. Khartov, “A criterion of quasi-infinite divisibility for discrete laws”, Statistics & Probability Letters, 185 (2022), 109436 https://www.sciencedirect.com/science/article/pii/S0167715222000426?via	3 ^[x]
8.	A. A. Khartov, “O predstavlenii logarifma proizvolnoi kharakteristicheskoi funktsii na otrezkakh”, Zapiski nauchnykh seminarov POMI, 510, Veroyatnost i statistika. 32 (2022), 262-281 http://ftp.pdmi.ras.ru/pub/publicat/znsl/v510/p262.pdf
9.	K. A. Tregubova, A. A. Khartov,, “Summy nezavisimykh sluchainykh velichin i obobschennye zakony Dikmana”, Zapiski nauchnykh seminarov POMI, 515, Veroyatnost i statistika. 33 (2022), 199-213 http://ftp.pdmi.ras.ru/pub/publicat/znsl/v515/p199.pdf
10.	A. A. Khartov, “Approksimatsiya mnogoparametricheskikh protsessov Andersona–Darlinga”, Zapiski nauchnykh seminarov POMI, 515, Veroyatnost i statistika. 33 (2022), 214-232 http://ftp.pdmi.ras.ru/pub/publicat/znsl/v515/p214.pdf

2021
11.	A. A. Kravchenko, A. A. Khartov, “Asymptotics of average case approximation complexity for tensor products of Euler integrated processes”, Probability and statistics. Part 31, Zap. Nauchn. Sem. POMI, 505, POMI, St. Petersburg, 2021, 147–161
12.	A. A. Kravchenko, A. A. Khartov, “An estimate of average case approximation complexity for tensor degrees of random processes”, Vestn. St. Petersbg. Univ., Math., 8:4 (2021), 351–360
13.	I. A. Alekseev, A. A. Khartov, “On convergence and compactness in variation with shift of discrete probability laws”, Vestn. St. Petersbg. Univ., Math., 8:4 (2021), 221–226

2020
14.	M. Zani, A. A. Khartov, “Ob odnom razlozhenii additivnykh sluchainykh polei”, Vestnik Sankt-Peterburgskogo Universiteta. Matematika. Mekhanika. Astronomiya, 7 (65):1 (2020), 39-49 http://vestnik.spbu.ru/html20/s01/s01v1/04.pdf
15.	A. A. Khartov, I. A. Alexeev, “Quasi-infinite divisibility and three-pointprobability laws”, Probability and statistics. Part 29, Zap. Nauchn. Sem. POMI, 495, POMI, St. Petersburg, 2020, 305–316
16.	M. Zani, A. A. Khartov, “On a decomposition of additive random fields”, Vestn. St. Petersbg. Univ., Math., 7:1 (2020), 29–36

2019
17.	A. A. Khartov, M. Zani, “Asymptotic analysis of average case approximation complexity of additive random fields”, Journal of Complexity, 52 (2019), 24–44 https://www.sciencedirect.com/science/article/abs/pii/S0885064X18300268	2 ^[x]
18.	A. A.Khartov, M. Zani, “Approximation complexity of sums of random processes”, Journal of Complexity, 54 (2019), 101399 , 11 pp. https://www.sciencedirect.com/science/article/abs/pii/S0885064X19300214	1 ^[x]
19.	A. A. Khartov, “Compactness criteria for quasi-infinitely divisible distributions on the integers”, Stat.&Prob. Letters, 153 (2019), 1–6 https://www.sciencedirect.com/science/article/abs/pii/S0167715219301373	10 ^[x]

2018
20.	A. A. Khartov, “Criteria of relative and stochastic compactness for distributions of sums of independent random variables”, Theory Probab. Appl., 63:1 (2018), 57–71

2017
21.	A. A. Khartov, “Stochastic compactness of distributions of sums of independent random variables with finite variances”, Lithuanian Mathematical Journal, 57:2 (2017), 196–203	1 ^[x]

2016
22.	A. A. Khartov, “A simplified criterion for quasi-polynomial tractability of approximation of random elements and its applications”, J. Complexity, 34 (2016), 30-41 (Published online) http://www.sciencedirect.com/science/article/pii/S0885064X15001247, arXiv: https://arxiv.org/abs/1503.02600	11 ^[x]

2018
23.	A. A. Khartov, “Characteristic functions and compactness for distributions of sums of independent random variables”, J. Math. Sci. (N. Y.), 229:6 (2018), 792–802

2015
24.	A. A. Khartov, “Asymptotic analysis of average case approximation complexity of Hilbert space valued random elements”, J. Complexity, 31:6 (2015), 835-866 http://www.sciencedirect.com/science/article/pii/S0885064X1500062X, arXiv: https://arxiv.org/abs/1410.4320	10 ^[x]
25.	A. A. Khartov, “Approximation in probability of tensor product-type random fields of increasing parametric dimension”, J. Math. Sci. (N. Y.), 204:1 (2015), 165–179

2013
26.	A. A. Khartov, “Approximation complexity of tensor product-type random fields with heavy spectrum”, Vestnik of the St. Petersburg University: Mathematics, 46:2 (2013), 98-101

2012
27.	A. A. Khartov, “Approksimatsiya v srednem tenzornykh sluchainykh polei vozrastayuschei razmernosti”, Tezisy Mezhdunarodnoi (43-Vserossiiskoi) molodëzhnoi shkoly-konferentsii “Sovremennye problemy matematiki” (Ekaterinburg 29 yanv. – 5 fev. 2012), UroRAN Institut matematiki i mekhaniki, 2012, 296–298 http://conf.uran.ru/kungurka/School-2012.pdf

2013
28.	A. A. Khartov, “Average approximation of tensor product-type random fields of increasing dimension”, J. Math. Sci. (N. Y.), 188:6 (2013), 769–782

2008
29.	I. S. Sineva, Khartov A.A., “Matematicheskoe modelirovanie i analiz informatsionnykh potokov v web Usage Mining”, Trudy Moskovskogo Tekhnicheskogo Universiteta Svyazi i Informatiki, 2 (2008), 133–137
30.	I. S. Sineva, Khartov A.A., “Markovskie metody v postroenii profilya polzovatelya”, Trudy Moskovskogo Tekhnicheskogo Universiteta Svyazi i Informatiki, 2 (2008), 138–141

Presentations in Math-Net.Ru

1.	Аппроксимация функционалов от гауссовских элементов и помехоустойчивое кодирование. A. A. Khartov Probability and Approximation October 10, 2024 15:45
2.	О слабой сходимости квазибезгранично делимых распределений A. A. Khartov Dobrushin Mathematics Laboratory Seminar April 9, 2024 16:00
3.	Слабая сходимость рационально безгранично делимых распределений A. A. Khartov Probability and Approximation April 13, 2023 18:00
4.	Квазибезгранично делимые законы A. A. Khartov November 10, 2022 17:40
5.	Рационально безгранично делимые распределения и их обобщения A. A. Khartov Seminar on Probability Theory and Mathematical Statistics October 21, 2022 18:00
6.	Quasi-infinitely divisible probability laws A. A. Khartov Probability and Approximation March 23, 2022 18:00
7.	Критерии относительной и стохастической компактности распределений сумм независимых случайных величин без предположения равномерной предельной малости слагаемых A. A. Khartov Seminar of Chebyshev Laboratory on Probability Theory April 1, 2016 16:00
8.	Asymptotic analysis of average case approximation complexity of Hilbert space valued random elements A. A. Khartov Seminar of Chebyshev Laboratory on Probability Theory November 12, 2014 11:00
9.	Сложность аппроксимации гауссовских случайных полей большой параметрической размерности A. A. Khartov Seminar on Probability Theory and Mathematical Statistics March 21, 2014 18:00
10.	Tractability of some multiparametric integrated gaussian processes A. A. Khartov Seminar of Chebyshev Laboratory on Probability Theory February 28, 2014 14:00
11.	On one multiparametric problem from information-based complexity theory Alexey Khartov Seminar of Chebyshev Laboratory on Probability Theory September 26, 2013 15:00
12.	Предельное распределение нулей случайных сумм ортогональных полиномов A. A. Khartov Seminar on Stochastics May 4, 2012 15:30
13.	«Закон 0 и 1» для $ \mathbb Z^2$ для проекции на фиксированный вектор. Контрпример для не i.i.d. среды A. A. Khartov Seminar on Stochastics February 24, 2012 15:30
14.	Сложность аппроксимации случайных полей тензорного типа A. A. Khartov Seminar on Stochastics May 6, 2011 15:30

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