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:
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)
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
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
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;
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
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
2022
6.
A. Gusakova, E. Spodarev, D. Zaporozhets, “Intrinsic volumes of ellipsoids”, Zap. nauchn. sem. POMI, 515 (2022), 121–140 , arXiv: 2206.14002
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
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
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
2023
10.
F. Götze, Z. Kabluchko, D. Zaporozhets, “Grassmann angles and absorption probabilities of Gaussian convex hulls”, J. Math. Sci., 273 (2023), 738–754
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;
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
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
T. Moseeva, A. Tarasov, D Zaporozhets, “Random Sections of Spherical Convex Bodies”, J. Math. Sci., 2022, 268, no. 5, 656–662
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
18.
F. Götze, A. Gusakova, D. Zaporozhets, “Random affine simplexes”, Adv. in Appl. Probab., 56:1 (2019), 39–51 , arXiv: 1711.06578
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
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
2018
21.
V. Vysotsky, D. Zaporozhets, “Convex hulls of multidimensional random walks”, Trans. Amer. Math. Soc., 370 (2018), 7985–8012 , arXiv: 1506.07827
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
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
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
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
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
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
F. Götze, D. Koliada, D. Zaporozhets, “Correlation functions of real zeros of random polynomials”, J. Math. Sci., 229:6 (2018), 664–670
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
2016
32.
F. Götze, D. Zaporozhets, “Discriminant and root separation of integral polynomials”, J. Math. Sci., 219:5 (2016), 700–706
2015
33.
F. Götze, D. Kaliada, D. Zaporozhets, “Correlations between real conjugate algebraic numbers”, Chebyshevskii Sb., 16:4 (2015), 90–99
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
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
Z. Kabluchko, D. Zaporozhets, “Roots of random polynomials whose coefficients have logarithmic tails”, Ann. Probab., 41:5 (2013), 3542–3581 , arXiv: 1110.2585
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
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
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
40.
I. Ibragimov, D. Zaporozhets, “On random surface area”, J. Math. Sci., 176:2 (2011), 190–202
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
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
2006
43.
D. N. Zaporozhets, “An example of a random polynomial with unusual behavior of roots”, Theory Probab. Appl., 50:3 (2006), 529–535
2005
44.
D. N. Zaporozhets, “Random polynomials and geometric probability”, Doklady Mathematics, 73:1 (2005), 53–57
2006
45.
D. Zaporozhets, “On computing of expected volume of random manifold”, J. Math. Sci., 133:3 (2006), 1282–1289
46.
D. Zaporozhets, “On the distribution of the number of real zeros of a random polynomial”, J. Math. Sci., 137:1 (2006), 4525–4530
Введение в геометрию цепных дробей D. Zaporozhets Summer School “Contemporary Mathematics” Named After Vitaly Arnold, 2024 July 21, 2024 09:30
5.
Лаборатория статистических методов I. A. Ibragimov, D. Zaporozhets Conference dedicated to the 90th anniversary of Steklov Mathematical Institute May 17, 2024 16:20
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
О распределении алгебраических чисел D. N. Zaporozhets Traditional winter session MIAN–POMI devoted to the topic "Probability theory" December 14, 2016 10:00
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
2024
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