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Serov, Aleksandr Aleksandrovich

Total publications: 33 (33)
in MathSciNet: 14 (14)
in zbMATH: 5 (5)
in Web of Science: 7 (7)
in Scopus: 9 (9)
Cited articles: 12
Citations: 125
Presentations: 3

Number of views:
This page:2092
Abstract pages:7185
Full texts:2466
References:876
Serov, Aleksandr Aleksandrovich
Candidate of physico-mathematical sciences
Birth date: 5.02.1984
E-mail: ,

Subject:

Boolean functions theory, combinatorial and probabilistic problems of discrete mathematics.


https://www.mathnet.ru/eng/person34920
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:serov.alexandre-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/795679
https://orcid.org/0000-0001-7465-1701
https://www.webofscience.com/wos/author/record/Q-6161-2016
https://www.scopus.com/authid/detail.url?authorId=37005974000
https://www.researchgate.net/profile/Alexander_Serov4

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


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

   2023
1. A. M. Zubkov, A. A. Serov, “Experimental study of NIST Statistical Test Suite ability to detect long repetitions in binary sequences”, Matem. vopr. kriptogr., 14:2 (2023), 137–145  mathnet  crossref  mathscinet; 3

   2022
2. A. M. Zubkov, A. A. Serov, “Notes on the independence of tests and on completeness of NIST package”, Computer Data Analysis and Modeling: Stochastics and Data Science, Proc. XIII Int. Conf. (Minsk, September 6–10, 2022), eds. Yu. Kharin et al., Belarusian State University, Minsk, 2022, 241–244

   2021
3. A. M. Zubkov, A. A. Serov, “A natural approach to the experimental study of dependence between statistical tests”, Matem. vopr. kriptogr., 12:1 (2021), 131–142  mathnet  crossref  mathscinet; 14

   2022
4. A. A. Serov, “Formulas for the numbers of sequences containing a given pattern given number of times”, Discrete Math. Appl., 32:4 (2022), 233–245  mathnet  crossref  crossref  mathscinet

   2019
5. A. M. Zubkov, A. A. Serov, “Testing the NIST Statistical Test Suite on artificial pseudorandom sequences”, Matem. vopr. kriptogr., 10:2 (2019), 89–96  mathnet  crossref  mathscinet 17
6. A. M. Zubkov, A. A. Serov, “Moschnost obraza podmnozhestva pri kompozitsii sluchainykh otobrazhenii konechnogo mnozhestva”, Veroyatnostnye metody v diskretnoi matematike, X Mezhdunarodnaya Petrozavodskaya konferentsiya, rasshirennye tezisy (22–26 maya, 2019 g., Petrozavodsk, Rossiya), eds. nauch. red. V. V. Mazalov, otv. red. E. V. Khvorostyanskaya, KarNTs RAN, Petrozavodsk, 2019, 79–81  elib
7. A. A. Serov, A. M. Zubkov, “Testing the NIST Statistical Test Suite on artificial pseudorandom sequences”, Computer Data Analysis and Modeling: Stochastics and Data Science, Proc. XII Int. Conf. (Minsk, Sept. 18–22, 2019), BSU, Minsk, 2019, 291–294 http://elib.bsu.by/bitstream/123456789/233387/1/291-294.pdf

   2018
8. A. M. Zubkov, A. A. Serov, “Estimates of the mean size of the subset image under composition of random mappings”, Discrete Math. Appl., 28:5 (2018), 331–338  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
9. A. M. Zubkov, A. A. Serov, “Limit theorem for the size of an image of subset under compositions of random mappings”, Discrete Math. Appl., 28:2 (2018), 131–138  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2016
10. A. A. Serov, A. M. Zubkov, “Two-sided inequalities for the average number of elements in the union of images of finite set under iterations of random equiprobable mappings”, Computer Data Analysis and Modeling. Theoretical and Applied Stochastics, Proceedings of the XI International Conference (Minsk, September 6–10, 2016), Publishing Center of BSU, Minsk, 2016, 55–57
11. A. A. Serov, “Images of a finite set under iterations of two random dependent mappings”, Discrete Math. Appl., 26:3 (2016), 175–181  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2015
12. A. M. Zubkov, A. A. Serov, “Dvustoronnie neravenstva dlya srednikh chisel elementov v ob'edineniyakh obrazov konechnogo mnozhestva pri iteratsiyakh sluchainykh ravnoveroyatnykh otobrazhenii”, XVI Vserossiiskii Simpozium po prikladnoi i promyshlennoi matematike (osennyaya otkrytaya sessiya) (Sochi–Dagomys, 27 sentyabrya – 4 oktyabrya 2015 g.), Obzor. prikl. i prom. matem., 22, no. 5, Redaktsiya zhurnala “OPiPM”, Moskva, 2015, 583–585

   2017
13. A. A. Serov, “Mean and variance of the number of subfunctions of random Boolean function which are close to the affine functions set”, Discrete Math. Appl., 27:1 (2017), 23–34  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2014
14. A. M. Zubkov, A. A. Serov, M. V. Filina, “Dvustoronnie neravenstva dlya funktsii binomialnogo raspredeleniya”, Algebra i teoriya chisel: sovremennye problemy i prilozheniya, Materialy XII Mezhdunar. konf., posvyaschennoi 80-letiyu prof. Viktora Nikolaevicha Latysheva (Tula, 21–25 aprelya 2014 g.), Tul. gos. ped. un-ta im. L.N. Tolstogo, Tula, 2014, 27–29
15. A. A. Serov, “Otsenki ob'emov okrestnostei dvoichnykh kodov v terminakh ikh vesovykh spektrov”, Algebra i teoriya chisel: sovremennye problemy i prilozheniya, Materialy XII Mezhdunar. konf., posvyaschennoi 80-letiyu prof. Viktora Nikolaevicha Latysheva (Tula, 21–25 aprelya 2014 g.), Tul. gos. ped. un-ta im. L.N. Tolstogo, Tula, 2014, 208–210  elib
16. A. A. Serov, “Raspredelenie i momenty chisla zanyatykh i poseschennykh yacheek v odnoi skheme posledovatelnogo razmescheniya chastits po yacheikam”, XV Vserossiiskii Simpozium po prikladnoi i promyshlennoi matematike (vesennyaya sessiya) (Kislovodsk, 1–8 maya 2014 g.), Obozr. prikl. i prom. matem., 21, no. 1, 2014, 86 http://tvp.ru/conferen/vsppm15/kibso037.pdf

   2015
17. A. M. Zubkov, A. A. Serov, “Images of subset of finite set under iterations of random mappings”, Discrete Math. Appl., 25:3 (2015), 179–185  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2014
18. A. A. Serov, Review of Applied and Industrial Mathematics, 21:1 (2014), 86–87  mathnet

   2013
19. A. A. Serov, “Estimates of the neighborhood volumes of binary codes via their weight spectra”, Mat. Vopr. Kriptogr., 4:2 (2013), 17–42  mathnet  crossref  elib
20. A. A. Serov, “On the number of subfunctions of random boolean function which are close to the affine functions set”, Computer Data Analysis and Modeling: Theoretical and Applied Stochastics, Proc. of the Tenth Intern. Conf. (Minsk, Sept. 10–14, 2013), v. 2, eds. Prof. Dr. S. Aivazian, Prof. Dr. P. Filzmoser, Prof. Dr. Yu. Kharin, Publ. center of BSU, 2013, 26–27  adsnasa

   2012
21. A. A. Serov, “Bounds for the number of Boolean functions admitting quadratic approximations of given accuracy”, Discrete Math. Appl., 22:4 (2012), 455–475  mathnet  crossref  crossref  mathscinet  zmath  elib  scopus
22. A. M. Zubkov, A. A. Serov, “Estimates for the number of Boolean functions having affine or quadratic approximations with a given accuracy”, Prikl. Diskr. Mat. Suppl., 2012, no. 5, 11–13  mathnet
23. A. M. Zubkov, A. A. Serov, “Nezamechennye nailuchshie neravenstva dlya binomialnogo zakona”, Mezhdunarodnaya konferentsiya «Teoriya veroyatnostei i eë prilozheniya», posvyaschënnaya 100-letiyu so dnya rozhdeniya B. V. Gnedenko (Moskva, 26–30 iyunya), Tezisy dokladov, LENAND, 2012, 35–36
24. A. A. Serov, A. M. Zubkov, “Testing properties of Boolean mappings”, Workshop Current Trends in Cryptology (Nizhny Novgorod, 2 July), 2012, 32

   2013
25. A. M. Zubkov, A. A. Serov, “A complete proof of universal inequalities for distribution function of binomial law”, Theory Probab. Appl., 57:3 (2013), 539–544  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2011
26. A. A. Serov, “Otsenki moschnostei okrestnostei dvoichnykh distantsionno invariantnykh kodov”, XII Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (osennyaya sessiya) (Sochi, 1–8 oktyabrya 2011 g.), Obozr. prikl. i prom. matem., 18, no. 3, 2011, 467–468
27. A. A. Serov, “Otsenki chisla bulevykh funktsii, imeyuschikh kvadratichnye priblizheniya zadannoi tochnosti”, XII Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (vesennyaya sessiya) (Kazan, 1–8 maya 2011 g.), Obozr. prikl. i prom. matem., 18, no. 1, 2011, 147–148  mathscinet
28. A. A. Serov, “Limit distribution of the Hamming distance from the random Boolean function to the set of affine functions”, Theory Probab. Appl., 55:4 (2011), 717–722  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2010
29. A. M. Zubkov, A. A. Serov, “Bounds for the number of Boolean functions admitting affine approximations of a given accuracy”, Discrete Math. Appl., 20:5-6 (2010), 467–486  mathnet  crossref  crossref  mathscinet  elib  scopus
30. A. A. Serov, A. M. Zubkov, “On the number of Boolean functions in a given neighbourhood of the affine functions set”, Computer Data Analysis and Modeling: Complex Sthohastic Data and Systems, Proc. of the 9th Intern. Conf. (Minsk, 7–11 September 2010), v. 2, BSU, 2010, 67–70  mathscinet
31. A. M. Zubkov, A. A. Serov, “Otsenki chisla bulevykh funktsii, imeyuschikh affinnye priblizheniya zadannoi tochnosti”, Materialy Kh Mezhdunarodnogo seminara «Diskretnaya matematika i ee prilozheniya» (Moskva, 1–6 fevralya 2010 g.), Izd-vo mekhaniko-matematicheskogo fakulteta MGU, 2010, 230–232

   2009
32. A. M. Zubkov, A. A. Serov, “Srednee chislo podfunktsii sluchainoi bulevoi funktsii, blizkikh k mnozhestvu affinnykh funktsii”, X Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (osennyaya sessiya) (Sochi, 1–8 oktyabrya 2009 g.), Obozr. prikl. i prom. matem., 16, no. 4, TVP, 2009, 657–658
33. A. M. Zubkov, A. A. Serov, “Otsenki chisla bulevykh funktsii, imeyuschikh affinnye priblizheniya zadannoi tochnosti”, X Vserossiiskii simpozium po prikladnoi i promyshlennoi matematike (vesennyaya sessiya) (Sankt-Peterburg, 19–24 maya 2009 g.), Obozr. prikl. i prom. matem., 16, no. 2, TVP, 2009, 337–339

Presentations in Math-Net.Ru
1. Простое доказательство универсальных неравенств для функции распределения биномиального закона
A. M. Zubkov, A. A. Serov
Scientific session of the Steklov Mathematical Institute dedicated to the results of 2013
November 20, 2013 16:20   
2. Оценки числа булевых функций, аппроксимируемых афинными функциями с заданной точностью
A. M. Zubkov, A. A. Serov
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
April 27, 2010 16:00
3. Вероятностные характеристики, связанные с аппроксимацией случайных булевых функций линейными
A. A. Serov
Seminar by Department of Discrete Mathematic, Steklov Mathematical Institute of RAS
May 15, 2007 16:00

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