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Frolov, A. N.

On the asymptotic behavior of probabilities of moderate deviations for combinatorial sums. (English. Russian original) Zbl 07830141

Vestn. St. Petersbg. Univ., Math. 56, No. 4, 559-568 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 4, 762-774 (2023).
Reviewer: Nasir N. Ganikhodjaev (Tashkent)
MSC:  60F25 60G50 60C05
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 56, No. 4, 559--568 (2023; Zbl 07830141); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 4, 762--774 (2023)
Full Text: DOI
Chaikovsky, I.; Primin, M.; Nedayvoda, I.; Kazmirchuk, A.; Frolov, Yu.; Boreyko, M.

New metrics to assess the subtle changes of the heart’s electromagnetic field. (English) Zbl 07827414

Pal, Kunal (ed.) et al., Advanced methods in biomedical signal processing and analysis. Amsterdam: Elsevier/Academic Press. 257-310 (2023).
MSC:  92C55
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\textit{I. Chaikovsky} et al., in: Advanced methods in biomedical signal processing and analysis. Amsterdam: Elsevier/Academic Press. 257--310 (2023; Zbl 07827414)
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Frolov, A. N.

On the probabilities of large deviations of combinatorial sums of independent random variables that satisfy the Linnik condition. (English. Russian original) Zbl 1526.60024

Vestn. St. Petersbg. Univ., Math. 56, No. 3, 385-391 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 3, 545-553 (2023).
Reviewer: Fraser Daly (Edinburgh)
MSC:  60F10 60F05 60C05 62E20
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 56, No. 3, 385--391 (2023; Zbl 1526.60024); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 3, 545--553 (2023)
Full Text: DOI
Frolov, A. N.

On the strong forms of the Borel-Cantelli lemma and dynamical systems with polynomial decay of correlations. (English. Russian original) Zbl 1512.37006

Vestn. St. Petersbg. Univ., Math. 55, No. 4, 419-425 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 4, 645-653 (2022).
MSC:  37A30 37A50 37E05 60F15
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 55, No. 4, 419--425 (2022; Zbl 1512.37006); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 4, 645--653 (2022)
Full Text: DOI
Frolov, A. N.

On the strong form of the Borel-Cantelli lemma. (English. Russian original) Zbl 1497.60035

Vestn. St. Petersbg. Univ., Math. 55, No. 1, 64-70 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 85-93 (2022).
MSC:  60F15 11J99 60A05 60A10
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 55, No. 1, 64--70 (2022; Zbl 1497.60035); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 85--93 (2022)
Full Text: DOI
Frolov, A. A.; Chizhonkov, E. V.

Simulation of a cylindrical slow extraordinary wave in cold magnetoactive plasma. (English. Russian original) Zbl 1494.76126

Comput. Math. Math. Phys. 62, No. 5, 845-860 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 5, 872-888 (2022).
MSC:  76X05 76M20
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\textit{A. A. Frolov} and \textit{E. V. Chizhonkov}, Comput. Math. Math. Phys. 62, No. 5, 845--860 (2022; Zbl 1494.76126); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 5, 872--888 (2022)
Full Text: DOI
Frolov, A. B.; Klyagin, A. O.; Kochetova, N. P.; Temnikov, D. Yu.

On the synthesis of systems possessing the structure of some combinatorial designs. (English. Russian original) Zbl 1476.93093

J. Comput. Syst. Sci. Int. 60, No. 4, 585-594 (2021); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2021, No. 4, 84-93 (2021).
MSC:  93B50 93B25 93B51
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\textit{A. B. Frolov} et al., J. Comput. Syst. Sci. Int. 60, No. 4, 585--594 (2021; Zbl 1476.93093); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2021, No. 4, 84--93 (2021)
Full Text: DOI
Moiseev, E. I.; Kholomeeva, A. A.; Frolov, A. A.

Boundary displacement control for the oscillation process with boundary conditions of damping type for a time less than critical. (English. Russian original) Zbl 1470.35224

J. Math. Sci., New York 257, No. 1, 74-84 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 74-84 (2019).
MSC:  35L20 35L05 35Q93
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\textit{E. I. Moiseev} et al., J. Math. Sci., New York 257, No. 1, 74--84 (2021; Zbl 1470.35224); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 160, 74--84 (2019)
Full Text: DOI
Kalimullin, I. Sh.; Selivanov, V. L.; Frolov, A. N.

Degree spectra of structures. (English. Russian original) Zbl 1535.03223

J. Math. Sci., New York 256, No. 2, 143-159 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 158, 23-39 (2018).
MSC:  03D45 03C57
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\textit{I. Sh. Kalimullin} et al., J. Math. Sci., New York 256, No. 2, 143--159 (2021; Zbl 1535.03223); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 158, 23--39 (2018)
Full Text: DOI
Frolov, A. N.; Zubkov, M. V.

Computable linear orders and limitwise monotonic functions. (English. Russian original) Zbl 1535.03220

J. Math. Sci., New York 256, No. 1, 61-95 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 157, 70-105 (2018).
MSC:  03D45 03C57
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\textit{A. N. Frolov} and \textit{M. V. Zubkov}, J. Math. Sci., New York 256, No. 1, 61--95 (2021; Zbl 1535.03220); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 157, 70--105 (2018)
Full Text: DOI
Frolov, A. N.

On combinatorial strong law of large numbers and rank statistics. (English. Russian original) Zbl 1460.62091

Vestn. St. Petersbg. Univ., Math. 53, No. 3, 336-343 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 3, 490-499 (2020).
MSC:  62H20 62E10 60C05 60F15
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 53, No. 3, 336--343 (2020; Zbl 1460.62091); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 3, 490--499 (2020)
Full Text: DOI
Frolov, A. N.

On the bounds for convergence rates in combinatorial strong limit theorems and their applications. (English. Russian original) Zbl 1454.60033

Vestn. St. Petersbg. Univ., Math. 53, No. 4, 443-449 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 688-698 (2020).
MSC:  60F05 60F15 60C05
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 53, No. 4, 443--449 (2020; Zbl 1454.60033); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 688--698 (2020)
Full Text: DOI
Frolov, A. A.; Chizhonkov, E. V.

Application of the energy conservation law in the cold plasma model. (English. Russian original) Zbl 1451.78036

Comput. Math. Math. Phys. 60, No. 3, 498-513 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 503-519 (2020).
MSC:  78A60 76X05 78A35 82D10 78M20 35Q60 35Q76
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\textit{A. A. Frolov} and \textit{E. V. Chizhonkov}, Comput. Math. Math. Phys. 60, No. 3, 498--513 (2020; Zbl 1451.78036); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 503--519 (2020)
Full Text: DOI
Hramov, Alexander E.; Pitsik, Elena N.; Chholak, Parth; Maksimenko, Vladimir A.; Frolov, Nikita S.; Kurkin, Semen A.; Pisarchik, Alexander E.

A MEG study of different motor imagery modes in untrained subjects for BCI applications. (English) Zbl 1531.93307

Gusikhin, Oleg (ed.) et al., ICINCO 2019. Proceedings of the 16th international conference on informatics in control, automation and robotics, Prague, Czech Republic, July 29–31, 2019. In 2 volumes. Setúbal: SCITEPRESS – Science and Technology Publications. 188-195, Vol. 1 (2019).
MSC:  93C85 92C50 68T07
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\textit{A. E. Hramov} et al., in: ICINCO 2019. Proceedings of the 16th international conference on informatics in control, automation and robotics, Prague, Czech Republic, July 29--31, 2019. In 2 volumes. Setúbal: SCITEPRESS -- Science and Technology Publications. 188--195, Vol. 1 (2019; Zbl 1531.93307)
Full Text: DOI
Frolov, A. N.

On bounds for probabilities of combinations of events, the Jordan formula, and the Bonferroni inequalities. (English. Russian original) Zbl 1448.60026

Vestn. St. Petersbg. Univ., Math. 52, No. 2, 178-186 (2019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 2, 253-264 (2019).
MSC:  60C05 60E15
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 52, No. 2, 178--186 (2019; Zbl 1448.60026); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 2, 253--264 (2019)
Full Text: DOI
Gashkov, S. B.; Gashkov, I. B.; Frolov, A. B.

The complexity of solving low degree equations over ring of integers and residue rings. (English. Russian original) Zbl 1469.68061

Mosc. Univ. Math. Bull. 74, No. 1, 5-13 (2019); translation from Vestn. Mosk. Univ., Ser. I 74, No. 1, 7-15 (2019).
MSC:  68Q25 13P15
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\textit{S. B. Gashkov} et al., Mosc. Univ. Math. Bull. 74, No. 1, 5--13 (2019; Zbl 1469.68061); translation from Vestn. Mosk. Univ., Ser. I 74, No. 1, 7--15 (2019)
Full Text: DOI
Moiseev, E. I.; Frolov, A. A.

Boundary control of string vibrations in a subcritical time under a medium resistance at the right end. (English. Russian original) Zbl 1426.49024

Differ. Equ. 55, No. 4, 541-552 (2019); translation from Differ. Uravn. 55, No. 4, 555-566 (2019).
Reviewer: Wiesław Kotarski (Sosnowiec)
MSC:  49K20 35L05 93C20
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\textit{E. I. Moiseev} and \textit{A. A. Frolov}, Differ. Equ. 55, No. 4, 541--552 (2019; Zbl 1426.49024); translation from Differ. Uravn. 55, No. 4, 555--566 (2019)
Full Text: DOI
Frolov, A. N.

On inequalities for probabilities of joint occurrence of several events. (English. Russian original) Zbl 1430.60023

Vestn. St. Petersbg. Univ., Math. 51, No. 3, 286-295 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 3, 464-476 (2018).
MSC:  60E15 60C05
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 51, No. 3, 286--295 (2018; Zbl 1430.60023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 3, 464--476 (2018)
Full Text: DOI
Frolov, A. N.

On inequalities for probabilities wherein at least \(r\) from \(n\) events occur. (English. Russian original) Zbl 1430.60014

Vestn. St. Petersbg. Univ., Math. 50, No. 3, 287-296 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 3, 477-488 (2017).
MSC:  60C05
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 50, No. 3, 287--296 (2017; Zbl 1430.60014); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 3, 477--488 (2017)
Full Text: DOI
Frolov, A. A.; Chizhonkov, E. V.

Breaking of two-dimensional relativistic electron oscillations under small deviations from axial symmetry. (English. Russian original) Zbl 1384.82013

Comput. Math. Math. Phys. 57, No. 11, 1808-1821 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 11, 1844-1859 (2017).
MSC:  82D10 76Y05 82-08 35Q82 76M20 76M45 35Q35 35Q61 35B20 65M06
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\textit{A. A. Frolov} and \textit{E. V. Chizhonkov}, Comput. Math. Math. Phys. 57, No. 11, 1808--1821 (2017; Zbl 1384.82013); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 11, 1844--1859 (2017)
Full Text: DOI
Gulin, V. V.; Frolov, A. B.

Categorization of text documents taking into account some structural features. (English. Russian original) Zbl 1442.68243

J. Comput. Syst. Sci. Int. 55, No. 1, 96-105 (2016); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2016, No. 1, 104-114 (2016).
MSC:  68T50 68T05
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\textit{V. V. Gulin} and \textit{A. B. Frolov}, J. Comput. Syst. Sci. Int. 55, No. 1, 96--105 (2016; Zbl 1442.68243); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2016, No. 1, 104--114 (2016)
Full Text: DOI
Frolov, A. N.

On inequalities for conditional probabilities of unions of events and the conditional Borel-Cantelli lemma. (English. Russian original) Zbl 1390.60070

Vestn. St. Petersbg. Univ., Math. 49, No. 4, 379-388 (2016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 651-662 (2016).
MSC:  60E15 60F15
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 49, No. 4, 379--388 (2016; Zbl 1390.60070); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 651--662 (2016)
Full Text: DOI
Repin, O. A.; Frolov, A. A.

On a boundary value problem for an equation of mixed type with a Riemann-Liouville fractional partial derivative. (English. Russian original) Zbl 1365.35216

Differ. Equ. 52, No. 10, 1384-1388 (2016); translation from Differ. Uravn. 52, No. 10, 1436-1440 (2016).
MSC:  35R11
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\textit{O. A. Repin} and \textit{A. A. Frolov}, Differ. Equ. 52, No. 10, 1384--1388 (2016; Zbl 1365.35216); translation from Differ. Uravn. 52, No. 10, 1436--1440 (2016)
Full Text: DOI
Frolov, A. N.

On estimation of probabilities of unions of events with applications to the Borel-Cantelli lemma. (English. Russian original) Zbl 1370.60031

Vestn. St. Petersbg. Univ., Math. 48, No. 3, 175-180 (2015); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2(60), No. 3, 387-393 (2015).
MSC:  60E15 60F15
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 48, No. 3, 175--180 (2015; Zbl 1370.60031); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2(60), No. 3, 387--393 (2015)
Full Text: DOI
Frolov, A. N.

On the probabilities of moderate deviations for combinatorial sums. (English. Russian original) Zbl 1370.60052

Vestn. St. Petersbg. Univ., Math. 48, No. 1, 23-28 (2015); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2(60), No. 1 (2015).
MSC:  60F15 60G50
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\textit{A. N. Frolov}, Vestn. St. Petersbg. Univ., Math. 48, No. 1, 23--28 (2015; Zbl 1370.60052); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2(60), No. 1 (2015)
Full Text: DOI
Kostenko, V. A.; Frolov, A. V.

Self-learning genetic algorithm. (English. Russian original) Zbl 1338.90343

J. Comput. Syst. Sci. Int. 54, No. 4, 525-539 (2015); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2015, No. 4, 24-38 (2015).
MSC:  90C27 90C59 68T05
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\textit{V. A. Kostenko} and \textit{A. V. Frolov}, J. Comput. Syst. Sci. Int. 54, No. 4, 525--539 (2015; Zbl 1338.90343); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2015, No. 4, 24--38 (2015)
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