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Kosov Egor Dmitrievich
(recent publications)

by years

scientific publications

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2025
1.	Egor Kosov, Sergey Tikhonov, “Sampling discretization in Orlicz spaces”, Journal of Functional Analysis, 289:7 (2025), 110971	2 ^[x]
2.	E. D. Kosov, V. N. Temlyakov, “Sampling recovery of functions with mixed smoothness”, Adv. Oper. Theory, 10 (2025), 49, 17 pp.	1 ^[x]
3.	E. D. Kosov, V. N. Temlyakov, “Bounds for the sampling discretization error and their applications to the universal sampling discretization”, J. Complexity, 90 (2025), 101958, 28 pp.	4 ^[x]
4.	Vadim Gorev, Egor Kosov, “Functional analogs of the Shephard, Busemann–Petty and Milman problems”, Journal d'Analyse Mathématique, 157 (2025), 511–536, arXiv: 2208.13308

2024
5.	E. D. Kosov, A. K. Zhukova, “Improved bounds for the total variation distance between stochastic polynomials”, Stoch. Proc. Appl., 170 (2024), 104279, 15 pp.
6.	Egor Kosov, Vladimir Temlyakov, “Sampling discretization of the uniform norm and applications”, J. Math. Anal. Appl., 538:2 (2024), 128431, 25 pp., arXiv: 2306.14207	6 ^[x]

2023
7.	V. I. Bogachev, E. D. Kosov, A. V. Shaposhnikov, “Regularity of solutions to Kolmogorov equations with perturbed drifts”, Potential Anal., 58 (2023), 681–702, arXiv: 2104.04674	4 ^[x]
8.	F. Dai, E. Kosov, V. Temlyakov, “Some improved bounds in sampling discretization of integral norms”, J. Funct. Anal., 285 (2023), 109951, 40 pp.	7 ^[x]
9.	E. D. Kosov, “Regularity of Distributions of Sobolev Mappings in Abstract Settings”, Math. Notes, 114:5 (2023), 862–874

2022
10.	E. D. Kosov, “Distributions of Second Order Polynomials in Gaussian Random Variables”, Math. Notes, 111:1 (2022), 71–81
11.	E.D. Kosov, “Regularity of linear and polynomial images of Skorohod differentiable measures”, Advances in Mathematics, 397 (2022), 108193	4 ^[x]
12.	E. D. Kosov, “Distributions of Polynomials in Gaussian Random Variables under Constraints on the Powers of Variables”, Funct. Anal. Appl., 56:2 (2022), 101–109
13.	Egor D. Kosov, “Remarks on Sampling Discretization of Integral Norms of Functions”, Proc. Steklov Inst. Math., 319 (2022), 188–198
14.	B. Kashin, E. Kosov, I. Limonova, V. Temlyakov, “Sampling discretization and related problems”, J. Complexity, 71 (2022), 101653	45 ^[x]

2021
15.	V. I. Bogachev, E. D. Kosov, S. N. Popova, “On distributions of homogeneous and convex functions in Gaussian random variables”, Izv. Math., 85:5 (2021), 852–882
16.	E.D.Kosov, “Marcinkiewicz-type discretization of $L^p$-norms under the Nikolskii-type inequality assumption”, Journal of Mathematical Analysis and Applications, 504:1 (2021), 125358, 32 pp.	17 ^[x]
17.	E.D.Kosov, “Total Variation Distance Estimates via $L^2$-Norm for Polynomials in Log-concave Random Vectors”, International Mathematics Research Notices, 2021:21 (2021), 16492–16508	8 ^[x]
18.	P. A. Borodin, I. A. Ibragimov, B. S. Kashin, V. V. Kozlov, A. V. Kolesnikov, S. V. Konyagin, E. D. Kosov, O. G. Smolyanov, N. A. Tolmachev, D. V. Treshchev, A. V. Shaposhnikov, S. V. Shaposhnikov, A. N. Shiryaev, A. A. Shkalikov, “Vladimir Igorevich Bogachev (on his 60th birthday)”, Russian Math. Surveys, 76:6 (2021), 1149–1157

2020
19.	V.I. Bogachev, E.D. Kosov, S.N. Popova, “Densities of Distributions of Homogeneous Functions of Gaussian Random Vectors”, Doklady Mathematics, 102:3 (2020), 460–463

2019
20.	E. D. Kosov, “Besov classes on finite and infinite dimensional spaces”, Sb. Math., 210:5 (2019), 663–692
21.	V.I. Bogachev, E.D. Kosov, S.N. Popova, “A new approach to Nikolskii-Besov classes”, Moscow Mathematical Journal, 19:4 (2019), 619–654	10 ^[x]
22.	E.D. Kosov, “An Inequality between Total Variation and $L^2$ Distances for Polynomials in log-Concave Random Vectors”, Doklady Mathematics, 100:2 (2019), 423–425
23.	Egor Kosov, “On fractional regularity of distributions of functions in gaussian random variables”, Fractional Calculus and Applied Analysis, 22:5 (2019), 1249–1268	9 ^[x]

2018
24.	E.D. Kosov, “Besov Classes on a Space with a Gaussian Measure”, Doklady Mathematics, 97:1 (2018), 20–22
25.	Lavrentin Arutyunyan, Egor Kosov, “Deviation of polynomials from their expectations and isoperimetry”, Bernoulli, 24:3 (2018), 2043–2063	2 ^[x]
26.	Egor Kosov, “Fractional smoothness of images of logarithmically concave measures under polynomials”, Journal of Mathematical Analysis and Applications, 462:1 (2018), 390–406	15 ^[x]
27.	V. I. Bogachev, E. D. Kosov, G. I. Zelenov, “Fractional smoothness of distributions of polynomials and a fractional analog of the Hardy-Landau-Littlewood inequality”, Transactions of the American Mathematical Society, 370:6 (2018), 4401-4432	32 ^[x]

2017
28.	V.I. Bogachev, E.D. Kosov, and S.N. Popova, “A Characterization of Nikolskii–Besov Classes via Integration by Parts”, Doklady Mathematics, 96:2 (2017), 449–453
29.	V.I. Bogachev, E.D. Kosov, and S.N. Popova, “On Gaussian Nikolskii–Besov classes”, Doklady Mathematics, 96:2 (2017), 498–502
30.	E.D. Kosov, “A Characterization of Besov Classes in Terms of a New Modulus of Continuity”, Doklady Mathematics, 96:3 (2017), 587–590
31.	Alexander V. Kolesnikov, Egor D. Kosov, “Moment measures and stability for Gaussian inequalities”, Theory Stoch. Process., 22(38):2 (2017), 47–61

2016
32.	V. I. Bogachev, G. I. Zelenov, E. D. Kosov, “Membership of distributions of polynomials in the Nikolskii–Besov class”, Doklady Mathematics, 94:1 (2016), 453–457

2015
33.	L. M. Arutyunyan, E. D. Kosov, “Spaces of quasi-invariance of product measures”, Funct. Anal. Appl., 49:2 (2015), 142–144
34.	L. M. Arutyunyan, E. D. Kosov, “Estimates for integral norms of polynomials on spaces with convex measures”, Sb. Math., 206:8 (2015), 1030–1048
35.	L. M. Arutyunyan, E. D. Kosov, “Polynomials on spaces with logarithmically concave measures”, Doklady Mathematics, 91:1 (2015), 72–75
36.	Arutyunyan L.M., Kosov E.D., “Sets of admissible shifts of convex measures”, Rendiconti Lincei-Matematica e Applicazioni, 26:1 (2015), 93–98
37.	E. D. Kosov, “Lower estimates of measure of deviation of polynomials from mathematical expectations”, Doklady Mathematics, 92:3 (2015), 698–700
38.	V. I. Bogachev, E. D. Kosov, I. Nourdin, G. Poly, “Two properties of vectors of quadratic forms of Gaussian random variables”, Theory Probab. Appl., 59:2 (2015), 208–221

2014
39.	L. M. Arutyunyan, E. D. Kosov, I. S. Yaroslavtsev, “On some properties of polynomials measurable with respect to a Gaussian measure”, Doklady Mathematics, 90:1 (2014), 419–423

2012
40.	E. D. Kosov, “Supports of measures with weak moments”, Doklady Mathematics, 86:3 (2012), 776–780

Full list of publications