Persons: Zaporozhets Dmitry , List of publications

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Zaporozhets Dmitry

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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
2.	S. G. Bobkov, V. I. Bogachev, D. Zaporozhets, I. A. Ibragimov, “On the ninetieth anniversary of the birth of Vladimir Niklaevich Sudakov (1934–2016)”, Uspekhi Mat. Nauk, 79:6(480) (2024), 171–178
3.	M. K. Dospolova, D. N. Zaporozhets, “Infinite-dimensional conic Steiner formula”, Probability and statistics. Part 36, Zap. Nauchn. Sem. POMI, 535, POMI, St. Petersburg, 2024, 105–119

2023
4.	Th. Godland, Z. Kabluchko, D. Zaporozhets, “Angle sums of random polytopes”, Michigan Math. J., 2023, 73, no. 4, 815–842 , arXiv: 2007.02590
5.	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
6.	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 ;
7.	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
8.	A. Gusakova, E. Spodarev, D. Zaporozhets, “Intrinsic volumes of ellipsoids”, Zap. nauchn. sem. POMI, 515 (2022), 121–140 , arXiv: 2206.14002
9.	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
10.	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

2021
11.	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
12.	F. Götze, Z. Kabluchko, D. Zaporozhets, “Grassmann angles and absorption probabilities of Gaussian convex hulls”, J. Math. Sci., 273 (2023), 738–754

2021
13.	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 ;
14.	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
15.	F. Götze, D. Koleda, D. Zaporozhets, “Joint distribution of conjugate algebraic numbers: a random polynomial approach”, Adv. Math., 359 (2020) , arXiv: 1703.02289
16.	Z. Kabluchko, Ch. Thäle, D. Zaporozhets, “Beta polytopes and Poisson polyhedra: f-vectors and angles”, Adv. Math., 374 (2020) , arXiv: 1805.01338
17.	Z. Kabluchko, D. Zaporozhets, “Absorption probabilities for Gaussian polytopes and regular spherical simplices”, Adv. Appl. Probab., 52:2 (2020), 558-616 , arXiv: 1704.04968

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

2019
19.	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
20.	F. Götze, A. Gusakova, D. Zaporozhets, “Random affine simplexes”, Adv. in Appl. Probab., 56:1 (2019), 39–51 , arXiv: 1711.06578
21.	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
22.	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
23.	V. Vysotsky, D. Zaporozhets, “Convex hulls of multidimensional random walks”, Trans. Amer. Math. Soc., 370 (2018), 7985–8012 , arXiv: 1506.07827
24.	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
25.	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
26.	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

2017
27.	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
28.	F. Götze, D. Koleda, D. Zaporozhets, “Distribution of complex algebraic numbers”, Proc. Amer. Math. Soc., 145:1 (2017), 61–71 , arXiv: 1410.3623
29.	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
30.	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

2016
31.	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

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

2017
33.	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
34.	F. Götze, D. Zaporozhets, “Discriminant and root separation of integral polynomials”, J. Math. Sci., 219:5 (2016), 700–706

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

2014
36.	Z. Kabluchko, D. Zaporozhets, “Asymptotic distribution of complex zeros of random analytic functions”, Ann. Probab., 42:4 (2014), 1374–1395 , arXiv: 1407.6523

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

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

2014
40.	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
41.	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
42.	I. Ibragimov, D. Zaporozhets, “On random surface area”, J. Math. Sci., 176:2 (2011), 190–202

2009
43.	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
44.	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

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