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Zaporozhets, Dmitry

Total publications: 46 (43)
in MathSciNet: 30 (29)
in zbMATH: 28 (28)
in Web of Science: 22 (21)
in Scopus: 36 (36)
Cited articles: 29
Citations: 232
Presentations: 43

Number of views:
This page:6074
Abstract pages:5732
Full texts:1673
References:813
Zaporozhets, Dmitry
Professor of Russian Academy of Sciences
Doctor of physico-mathematical sciences (2017)
Speciality: 01.01.05 (Probability theory and mathematical statistics)
E-mail:
Keywords: convex hulls, correlation functions, distribution of algebraic numbers, ellipsoids, Gaussian polytopes, intrinsic volumes, mixed vollumes, random polynomials, random polytopes, zeros of random polynomials,
UDC: 519.21, 519.2, 519

Subject:

Probability theory, Stochastic geometry, Convex Geometry

   
Main publications:
  1. G. Bonnet, A. Gusakova, Ch. Thäle, and D. Zaporozhets,, “Sharp inequalities for the mean distance of random points in convex bodies”, Adv. Math., 326 (2021)

https://www.mathnet.ru/eng/person34864
https://scholar.google.com/citations?user=KNdY9-IAAAAJ&hl=en
https://zbmath.org/authors/?q=ai:zaporozhets.dmitry
https://mathscinet.ams.org/mathscinet/MRAuthorID/744268
https://orcid.org/0000-0002-9618-7177
https://www.scopus.com/authid/detail.url?authorId=11939235000
https://www.researchgate.net/profile/Dmitry_Zaporozhets
https://arxiv.org/a/Zaporozhets_D

Full 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. N. N. Andreev, M. A. Vsemirnov, S. O. Gorchinskiy, D. N. Zaporozhets, S. V. Kislyakov, V. V. Kozlov, M. A. Korolev, D. O. Orlov, Yu. S. Osipov, D. V. Treschev, P. A. Yaskov, “Steklov Institute – 90!”, Russian Math. Surveys, 79:3 (2024), 557–562  mathnet  crossref  crossref

   2023
2. Th. Godland, Z. Kabluchko, D. Zaporozhets, “Angle sums of random polytopes”, Michigan Math. J., 2023, 73, no. 4, 815–842 , arXiv: 2007.02590  crossref  mathscinet  adsnasa 1
3. F. Petrov, J. Randon-Furling, D. Zaporozhets, “Convex hulls of random walks: conic intrinsic volumes approach”, Veroyatnost i statistika. 35, Posvyaschaetsya yubileyu Yany Isaevny BELOPOLSKOI, Zap. nauchn. sem. POMI, 526, POMI, Spb., 2023, 159–171  mathnet;
4. A. A. Borovkov, Al. V. Bulinski, A. M. Vershik, D. Zaporozhets, A. S. Holevo, A. N. Shiryaev, “Ildar Abdullovich Ibragimov (on his ninetieth birthday)”, Russian Math. Surveys, 78:3 (2023), 573–583  mathnet  crossref  crossref  mathscinet  adsnasa  isi
5. I. A. Ibragimov, A. Yu. Zaitsev, D. N. Zaporozhets, M. A. Lifshits, “To the 70th anniversary of A. N. BORODIN”, Probability and statistics. Part 34, Zap. Nauchn. Sem. POMI, 525, POMI, St. Petersburg, 2023, 5–6  mathnet

   2022
6. A. Gusakova, E. Spodarev, D. Zaporozhets, “Intrinsic volumes of ellipsoids”, Zap. nauchn. sem. POMI, 515 (2022), 121–140 , arXiv: 2206.14002  mathnet
7. L. Yang et al., “C2: A Capacity-Centric Architecture Toward Future Wireless Networking”, IEEE Trans. Wirel. Commun., 21:10 (2022), 8134–8147 , arXiv: 2110.03157  crossref  scopus
8. C. Deng, L. Yang, H. Wu, D. Zaporozhets, M. Dong and B. Bai, “CGN: A Capacity-Guaranteed Network Architecture for Future Ultra-Dense Wireless Systems”, ICC 2022 - IEEE International Conference on Communications, 2022, 1853–1858 , arXiv: 2203.02078  crossref  adsnasa  scopus 8

   2021
9. G. Bonnet, A. Gusakova, Ch. Thäle, and D. Zaporozhets, “Sharp inequalities for the mean distance of random points in convex bodies”, Adv. Math., 386 (2021) , arXiv: 2010.03351  crossref  isi  scopus

   2023
10. F. Götze, Z. Kabluchko, D. Zaporozhets, “Grassmann angles and absorption probabilities of Gaussian convex hulls”, J. Math. Sci., 273 (2023), 738–754  mathnet  crossref

   2021
11. J. Randon-Furling, D. Zaporozhets, “Convex hulls of several multidimensional Gaussian random walks”, Veroyatnost i statistika. 31, Zap. nauchn. sem. POMI, 505, POMI, SPb., 2021, 244–281  mathnet  mathscinet;
12. A. E. Litvak, D. N. Zaporozhets, “Random section and random simplex inequality”, Probability and statistics. Part 31, Zap. Nauchn. Sem. POMI, 505, POMI, St. Petersburg, 2021, 162–171  mathnet

   2020
13. F. Götze, D. Koleda, D. Zaporozhets, “Joint distribution of conjugate algebraic numbers: a random polynomial approach”, Adv. Math., 359 (2020) , arXiv: 1703.02289  crossref  zmath  isi  scopus 3
14. Z. Kabluchko, Ch. Thäle, D. Zaporozhets, “Beta polytopes and Poisson polyhedra: f-vectors and angles”, Adv. Math., 374 (2020) , arXiv: 1805.01338  crossref  isi  scopus 23
15. Z. Kabluchko, D. Zaporozhets, “Absorption probabilities for Gaussian polytopes and regular spherical simplices”, Adv. Appl. Probab., 52:2 (2020), 558-616 , arXiv: 1704.04968  crossref  isi  scopus 9

   2022
16. T. Moseeva, A. Tarasov, D Zaporozhets, “Random Sections of Spherical Convex Bodies”, J. Math. Sci., 2022, 268, no. 5, 656–662  mathnet  crossref

   2019
17. Z. Kabluchko, V. Vysotsky, D. Zaporozhets, “A multidimensional analogue of the arcsine law for the number of positive terms in a random walk”, Bernoulli, 25:1 (2019), 521–548 , arXiv: 1610.02861  crossref  mathscinet  zmath  isi  scopus
18. F. Götze, A. Gusakova, D. Zaporozhets, “Random affine simplexes”, Adv. in Appl. Probab., 56:1 (2019), 39–51 , arXiv: 1711.06578  crossref  zmath  isi  scopus 3
19. Z. Kabluchko, D. Zaporozhets, “Expected volumes of Gaussian polytopes, external angles, and multiple order statistics”, Trans. Amer. Math. Soc., 372 (2019), 1709–1733 , arXiv: 1706.08092  crossref  mathscinet  zmath  scopus 5
20. F. Götze, A. Yu. Zaitsev, D. Zaporozhets, “Improved multivariate version of the second Kolmogorov's uniform limit theorem”, Probability and statistics. Part 28, Zap. Nauchn. Sem. POMI, 486, POMI, St. Petersburg, 2019, 71–85  mathnet  crossref  scopus

   2018
21. V. Vysotsky, D. Zaporozhets, “Convex hulls of multidimensional random walks”, Trans. Amer. Math. Soc., 370 (2018), 7985–8012 , arXiv: 1506.07827  crossref  mathscinet  zmath  isi  scopus 11
22. I. A. Ibragimov, M. A. Lifshits, A. I. Nazarov, D. N. Zaporozhets, “On the History of St. Petersburg School of Probability and Mathematical Statistics: II. Random Processes and Dependent Variables”, Vestnik St. Petersburg Univ. Math., 51:3 (2018), 213–236  crossref  mathscinet  zmath  isi  scopus
23. F. Götze, A. Gusakova, Z. Kabluchko, D. Zaporozhets, “Distribution of complex algebraic numbers on the unit circle”, Zap. nauchn. sem. POMI, 474 (2018), 90–107 , arXiv: 1811.00996  mathnet  crossref  scopus
24. Z. Kabluchko, D. Zaporozhets, “Angles of the Gaussian simplex”, Zap. nauchn. sem. POMI, 476 (2018), 79–91 https://doi.org/10.1007/s10958-020-05107-2, arXiv: 1811.09400  mathnet  crossref  mathscinet  scopus 5

   2017
25. Z. Kabluchko, V. Vysotsky, D. Zaporozhets, “Convex hulls of random walks, hyperplane arrangements, and Weyl chambers”, Geom. Funct. Anal., 27:4 (2017), 880–918 , arXiv: 1510.04073  crossref  mathscinet  zmath  isi  elib  scopus 25
26. F. Götze, D. Koleda, D. Zaporozhets, “Distribution of complex algebraic numbers”, Proc. Amer. Math. Soc., 145:1 (2017), 61–71 , arXiv: 1410.3623  crossref  mathscinet  zmath  isi  elib  scopus 4
27. Z. Kabluchko, G. Last, D. Zaporozhets, “Inclusion–Exclusion Principles for Convex Hulls and the Euler Relation”, Discrete Comput. Geom., 58:2 (2017), 417–434 , arXiv: 1603.01357  crossref  mathscinet  zmath  isi  elib  scopus 6
28. Z. Kabluchko, V. Vysotsky, D. Zaporozhets, “Convex hulls of random walks: Expected number of faces and face probabilities”, Adv. Math., 320 (2017), 595-629 , arXiv: 1612.00249  crossref  mathscinet  zmath  isi  elib  scopus 15

   2016
29. Z. Kabluchko, D. Zaporozhets, “Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls”, Trans. Amer. Math. Soc., 368 (2016), 8873–8899 , arXiv: 1404.6113  crossref  mathscinet  zmath  isi  elib  scopus 16

   2018
30. F. Götze, D. Koliada, D. Zaporozhets, “Correlation functions of real zeros of random polynomials”, J. Math. Sci., 229:6 (2018), 664–670  mathnet  mathnet  crossref  mathscinet  zmath  scopus

   2017
31. Z. Kabluchko, A. Litvak, D. Zaporozhets, “Mean width of regular polytopes and expected maxima of correlated Gaussian variables”, J. Math. Sci., 225:5 (2017), 770–787 , arXiv: 1511.08479  mathnet  mathnet  crossref  mathscinet  zmath  elib  scopus

   2016
32. F. Götze, D. Zaporozhets, “Discriminant and root separation of integral polynomials”, J. Math. Sci., 219:5 (2016), 700–706  mathnet  mathnet  crossref  mathscinet  zmath  scopus

   2015
33. F. Götze, D. Kaliada, D. Zaporozhets, “Correlations between real conjugate algebraic numbers”, Chebyshevskii Sb., 16:4 (2015), 90–99  mathnet  mathscinet  zmath  elib

   2014
34. Z. Kabluchko, D. Zaporozhets, “Asymptotic distribution of complex zeros of random analytic functions”, Ann. Probab., 42:4 (2014), 1374–1395 , arXiv: 1407.6523  crossref  mathscinet  zmath  isi  elib  scopus

   2013
35. I. Ibragimov, D. Zaporozhets, “On distribution of zeros of random polynomials in complex plane”, Prokhorov and Contemporary Probability Theory, Springer, 2013, 303–323  crossref  mathscinet  zmath  scopus 30
36. Z. Kabluchko, D. Zaporozhets, “Roots of random polynomials whose coefficients have logarithmic tails”, Ann. Probab., 41:5 (2013), 3542–3581 , arXiv: 1110.2585  crossref  mathscinet  zmath  isi  elib  scopus

   2012
37. M. Reitzner, E. Spodarev, D. Zaporozhets, “Set reconstruction by Voronoi cells”, Adv. in Appl. Probab., 44:4 (2012), 938–953 , arXiv: 1111.4169  crossref  mathscinet  zmath  isi  scopus

   2014
38. Z. Kabluchko, D. Zaporozhets, “Random determinants, mixed volumes of ellipsoids, and zeros of Gaussian random fields”, J. Math. Sci., 199:2 (2014), 168–173  mathnet  mathnet  crossref  mathscinet  zmath  elib  scopus

   2011
39. F. Götze, D. Zaporozhets, “On the distribution of complex roots of random polynomials with heavy-tailed coefficients”, Theory Probab. Appl., 56:4 (2011), 696–703  mathnet  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
40. I. Ibragimov, D. Zaporozhets, “On random surface area”, J. Math. Sci., 176:2 (2011), 190–202  mathnet  mathnet  crossref  mathscinet  zmath  elib  scopus

   2009
41. N. Slobodianik, D. Zaporozhets, N. Madras, “Strong limit theorems for the Bayesian scoring criterion in Bayesian networks”, J. Mach. Learn. Res., 10 (2009), 1511–1526  crossref  mathscinet  zmath  isi  elib  scopus
42. A. Nazarov, D. Zaporozhets, “What is the least expected number of real roots of a random polynomial?”, Theory Probab. Appl., 53:1 (2009), 117–133  mathnet  mathnet  crossref  crossref  mathscinet  zmath  zmath  isi  elib  elib  scopus

   2006
43. D. N. Zaporozhets, “An example of a random polynomial with unusual behavior of roots”, Theory Probab. Appl., 50:3 (2006), 529–535  mathnet  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2005
44. D. N. Zaporozhets, “Random polynomials and geometric probability”, Doklady Mathematics, 73:1 (2005), 53–57  mathnet  mathnet  mathscinet  isi  elib  elib  scopus  scopus

   2006
45. D. Zaporozhets, “On computing of expected volume of random manifold”, J. Math. Sci., 133:3 (2006), 1282–1289  mathnet  mathnet  crossref  mathscinet  zmath  elib  scopus
46. D. Zaporozhets, “On the distribution of the number of real zeros of a random polynomial”, J. Math. Sci., 137:1 (2006), 4525–4530  mathnet  mathnet  crossref  mathscinet  zmath  elib  scopus

Presentations in Math-Net.Ru
1. Введение в геометрию цепных дробей
D. Zaporozhets
Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2024
July 21, 2024 09:30   
2. Лаборатория статистических методов
I. A. Ibragimov, D. Zaporozhets
Conference dedicated to the 90th anniversary of Steklov Mathematical Institute
May 17, 2024 16:20   
3. Парные корреляции последовательностей и возмущения самосопряженных операторов
D. Zaporozhets
Seminar on Operator Theory and Function Theory
May 6, 2024 17:30
4. Случайные блуждания
D. Zaporozhets

October 13, 2023 10:00   
5. Комбинаторный подход к случайному блужданию
D. Zaporozhets
Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2023
July 20, 2023 11:15   
6. Выпуклые оболочки случайных блужданий.
D. Zaporozhets

November 8, 2022 15:00   
7. Random Polynomials Having No Real Zeros
D. Zaporozhets
Borovkov Meeting
August 26, 2022 12:00
8. Случайные полиномы, не имеющие вещественных нулей
D. Zaporozhets
Probability and Approximation
June 7, 2022 18:00
9. Определение параметров гауссовского вектора по распределению максимума его координат
D. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
May 13, 2022 18:00
10. Random section and random simplex inequality
D. Zaporozhets
Joint Mathematical seminar of Saint Petersburg State University and Peking University
December 16, 2021 16:00
11. On distribution of algebraic numbers
D. Zaporozhets
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
October 18, 2021 13:00   
12. О выпуклой оболочке нескольких многомерных гауссовских случайных блужданий.
D. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
February 21, 2020 18:00
13. Approximation of sums of random vectors by infinitely divisible distributions
Dmitry N. Zaporozhets
International conference "Prokhorov and Probability Theory" dedicated to the 90th anniversary of birth of Yu. V. Prokhorov
December 16, 2019 15:45   
14. Среднее расстояние между случайными точками.
D. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
October 18, 2019 18:00   
15. Конический аналог результата Судакова-Цирельсона
D. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
October 19, 2018 18:00
16. Geometry of multidimensional random walk
D. Zaporozhets
Principle Seminar of the Department of Probability Theory, Moscow State University
May 16, 2018
17. О конической оболочке независимых случайных симметричных векторов
D. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
December 8, 2017 18:00   
18. Вероятность поглощения для гауссовского политопа и правильные сферические симплексы
D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
May 5, 2017 18:00   
19. Вокруг гипотезы о средней ширине правильного симплекса
D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
February 17, 2017 18:00
20. О распределении алгебраических чисел
D. N. Zaporozhets
Traditional winter session MIAN–POMI devoted to the topic "Probability theory"
December 14, 2016 10:00
21. Формула включений-исключений для выпуклых оболочек
D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
March 18, 2016 18:00   
22. Многомерное симметричное случайное блуждание, не поглощающее начало координат
D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
October 2, 2015 18:00
23. О случайном блуждании Рэлея
D. N. Zaporozhets
Seminar of Chebyshev Laboratory on Probability Theory
September 25, 2015 16:15
24. On Convex Hull of Multidimensional Random Walk
D. N. Zaporozhets
Principle Seminar of the Department of Probability Theory, Moscow State University
March 25, 2015
25. О выпуклой оболочке симметричного случайного блуждания
V. V. Vysotsky, D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
March 6, 2015 18:00
26. Об одном неравенстве для гауссовских случайных величин и гипотезе о средней ширине симплекса
D. N. Zaporozhets
Seminar of Chebyshev Laboratory on Probability Theory
December 10, 2014 11:00
27. О распределении алгебраических чисел
D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
September 26, 2014 18:00
28. О распределении алгебраических чисел
D. N. Zaporozhets
Day of Mathematics and Mechanics. IV Internet-Videoconference, Dedicated to Young Scientists-Mathematicians
September 15, 2014 12:40
29. О распределении дискриминантов целочисленных полиномов и близости сопряженных алгебраических чисел
D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
May 30, 2014 18:00
30. Применение теории гауссовских процессов в геометрии
D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
November 8, 2013 18:00
31. Поперечники Бернштейна и Колмогорова и внутренние объемы выпуклых тел
D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
May 24, 2013 18:00
32. Asymptotic behaviour of zeros of random polynomials and analytic functions
D. N. Zaporozhets
Seminar on Complex Analysis (Gonchar Seminar)
May 20, 2013 18:00
33. Нули случайных полиномов и аналитических функций
D. N. Zaporozhets
Meetings of the St. Petersburg Mathematical Society
April 23, 2013 18:00
34. Универсальность нулей случайной аналитической функции
D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
October 19, 2012 18:00
35. Асимптотическая нормальность нулей гауссовских аналитических функций
D. N. Zaporozhets
Seminar on Stochastics
April 20, 2012 15:30
36. Determinant of random matrix, mixed volume of ellipsoids, and zeros of Gaussian random field
D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
April 13, 2012 18:00
37. Введение в точечные процессы нулей случайных аналитических функций
D. N. Zaporozhets
Seminar on Stochastics
March 30, 2012 15:30
38. Zeros of random polynomials of one or several variables
D. N. Zaporozhets
Traditional winter session MIAN–POMI devoted to the topic "Probability and Functional Analysis"
February 17, 2012 11:20   
39. О нулях случайных полиномов, чьи коэффициенты имеют логарифмические хвосты
D. N. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
October 28, 2011 18:00
40. Introduction to the stochastic geometry and the random set theory
Dmitrii Zaporozhets
Seminar of Chebyshev Laboratory on Probability Theory
April 19, 2011 11:30
41. Неперекрестные разбиения и броуновская экскурсия
N. V. Alekseev, D. Zaporozhets
Seminar on Stochastics
April 8, 2011 15:30
42. On random surface area
I. A. Ibragimov, D. Zaporozhets
Seminar on Probability Theory and Mathematical Statistics
March 4, 2011 18:00
43. Нули случайного полинома
D. Zaporozhets
Principle Seminar of the Department of Probability Theory, Moscow State University
November 9, 2005

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