Götze Friedrich

Publications in Math-Net.Ru

1. Götze F., Zaitsev A. Yu. Improved applications of Arak's inequalities to the Littlewood–Offord problem
   
   Zap. Nauchn. Sem. POMI, 535 (2024),  70–91
2. On alternative approximating distributions in the multivariate version of Kolmogorov's second uniform limit theorem
   
   Teor. Veroyatnost. i Primenen., 67:1 (2022),  3–22
3. Local laws for sparse sample covariance matrices without the truncation condition
   
   Zap. Nauchn. Sem. POMI, 510 (2022),  65–86
4. Contribution of Jonas Kubilius to the metric theory of diophantine approximation of dependent variables
   
   Journal of the Belarusian State University. Mathematics and Informatics, 3 (2021),  34–50
5. Local Marchenko–Pastur law for sparse rectangular random matrices
   
   Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021),  22–25
6. Approximation of free convolutions by free infinitely divisible laws
   
   Teor. Veroyatnost. i Primenen., 66:4 (2021),  806–838
7. Grassmann angles and absorption probabilities of Gaussian convex hulls
   
   Zap. Nauchn. Sem. POMI, 501 (2021),  126–148
8. Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra
   
   Zap. Nauchn. Sem. POMI, 501 (2021),  118–125
9. Half-spaces with influential variable
   
   Teor. Veroyatnost. i Primenen., 65:1 (2020),  142–150
10. Moment inequalities for linear and nonlinear statistics
    
    Teor. Veroyatnost. i Primenen., 65:1 (2020),  3–22
11. Counting algebraic numbers in short intervals with rational points
    
    Journal of the Belarusian State University. Mathematics and Informatics, 1 (2019),  4–11
12. Improved multivariate version of the second Kolmogorov's uniform limit theorem
    
    Zap. Nauchn. Sem. POMI, 486 (2019),  71–85
13. Estimates for the closeness of convolutions of probability distributions on convex polyhedra
    
    Zap. Nauchn. Sem. POMI, 474 (2018),  108–117
14. Distribution of complex algebraic numbers on the unit circle
    
    Zap. Nauchn. Sem. POMI, 474 (2018),  90–107
15. Arak inequalities for concentration functions and the Littlewood–Offord problem
    
    Teor. Veroyatnost. i Primenen., 62:2 (2017),  241–266
16. On bounds for characteristic functions of the powers of asymptotically normal random variables
    
    Teor. Veroyatnost. i Primenen., 62:1 (2017),  122–144
17. Local semicircle law under moment conditions: Stieltjes transform, rigidity and delocalization
    
    Teor. Veroyatnost. i Primenen., 62:1 (2017),  72–103
18. Rare events and Poisson point processes
    
    Zap. Nauchn. Sem. POMI, 466 (2017),  109–119
19. Gaussian mixtures and normal approximation for V. N. Sudakov's typical distributions
    
    Zap. Nauchn. Sem. POMI, 457 (2017),  37–52
20. Correlation functions of real zeros of random polynomials
    
    Zap. Nauchn. Sem. POMI, 454 (2016),  102–111
21. On the distribution of points with algebraically conjugate coordinates in a neighborhood of smooth curves
    
    Zap. Nauchn. Sem. POMI, 448 (2016),  14–47
22. Correlations between real conjugate algebraic numbers
    
    Chebyshevskii Sb., 16:4 (2015),  90–99
23. On regular systems of algebraic $p$-adic numbers of arbitrary degree in small cylinders
    
    Dal'nevost. Mat. Zh., 15:2 (2015),  133–155
24. Effective estimations of the measure of the sets of real numbers in which integer polynomials take small value
    
    Dal'nevost. Mat. Zh., 15:1 (2015),  21–37
25. Distribution of real algebraic numbers of arbitrary degree in short intervals
    
    Izv. RAN. Ser. Mat., 79:1 (2015),  21–42
26. Discriminant and root separation of integral polynomials
    
    Zap. Nauchn. Sem. POMI, 441 (2015),  144–153
27. Limit theorems for two classes of random matrices with dependent entries
    
    Teor. Veroyatnost. i Primenen., 59:1 (2014),  61–80
28. Distance between Conjugate Algebraic Numbers in Clusters
    
    Mat. Zametki, 94:5 (2013),  780–783
29. Estimates for the concentration functions in the Littlewood–Offord problem
    
    Zap. Nauchn. Sem. POMI, 420 (2013),  50–69
30. Stability problems in Cramér-type characterization in case of I.I.D. Summands
    
    Teor. Veroyatnost. i Primenen., 57:4 (2012),  701–723
31. On the asymptotic distribution of the singular values of powers of random matrices
    
    Zap. Nauchn. Sem. POMI, 408 (2012),  9–42
32. Estimates for the rate of strong approximation in Hilbert space
    
    Sibirsk. Mat. Zh., 52:4 (2011),  796–808
33. On the distribution of complex roots of random polynomials with heavy-tailed coefficients
    
    Teor. Veroyatnost. i Primenen., 56:4 (2011),  812–818
34. Uniform rates of approximation by short asymptotic expansions in the CLT for quadratic forms
    
    Zap. Nauchn. Sem. POMI, 384 (2010),  105–153
35. The Rate of Convergence of Spectra of Sample Covariance Matrices
    
    Teor. Veroyatnost. i Primenen., 54:1 (2009),  202–213
36. Rates of approximation in the multidimensional invariance principle for sums of i.i.d. random vectors with finite moments
    
    Zap. Nauchn. Sem. POMI, 368 (2009),  110–121
37. On the concentration of high dimensional matrices with randomly signed entries
    
    Zap. Nauchn. Sem. POMI, 364 (2009),  32–69
38. Bounds for the Rate of Strong Approximation in the Multidimensional Invariance Principle
    
    Teor. Veroyatnost. i Primenen., 53:1 (2008),  100–123
39. Bad-approximable points and distribution of discriminants of the product of linear integer polynomials
    
    Chebyshevskii Sb., 8:2 (2007),  140–147
40. Asymptotic expansion in the central limit theorem for quadratic forms
    
    Zap. Nauchn. Sem. POMI, 341 (2007),  81–114
41. Limit correlation functions at zero for fixed trace random matrix ensembles
    
    Zap. Nauchn. Sem. POMI, 341 (2007),  68–80
42. Limit theorems for spectra of random matrices with martingale structure
    
    Teor. Veroyatnost. i Primenen., 51:1 (2006),  171–192
43. Approximation of convolutions by accompanying laws without centering
    
    Zap. Nauchn. Sem. POMI, 320 (2004),  44–53
44. Limit theorems for spectra of positive random matrices under dependence
    
    Zap. Nauchn. Sem. POMI, 311 (2004),  92–123
45. Limiting distributions of theta series on Siegel half-spaces
    
    Algebra i Analiz, 15:1 (2003),  118–147
46. On the central limit theorem along subsequences of noncorrelated observations
    
    Teor. Veroyatnost. i Primenen., 48:4 (2003),  745–765
47. On bounds for moderate deviations for Student's statistic
    
    Teor. Veroyatnost. i Primenen., 48:3 (2003),  609–615
48. Moderate deviations for Student's statistic
    
    Teor. Veroyatnost. i Primenen., 47:3 (2002),  518–532
49. Rate of convergence to the semi-circular law for the Gaussian unitary ensemble
    
    Teor. Veroyatnost. i Primenen., 47:2 (2002),  381–387
50. On moments of polynomials
    
    Teor. Veroyatnost. i Primenen., 42:3 (1997),  638–640
51. Approximation of quadratic forms of independent random vectors by accompanying laws
    
    Teor. Veroyatnost. i Primenen., 42:2 (1997),  308–335
52. On smooth behavior of probability distributions under polynomial mappings
    
    Teor. Veroyatnost. i Primenen., 42:1 (1997),  51–62
53. Bounds for characteristic functions of polynomials in asymptotically normal random variables
    
    Uspekhi Mat. Nauk, 51:2(308) (1996),  3–26
54. On the number of lattice points in a large ellipsoid
    
    Dokl. Akad. Nauk, 343:4 (1995),  439–440
55. On minimal moment assumptions in Berry–Esséen theorems for $U$-statistics
    
    Teor. Veroyatnost. i Primenen., 40:3 (1995),  596–614
56. The accuracy of Gaussian approximation in Banach spaces
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 81 (1991),  39–139


57. Letter to the editors
    
    Izv. RAN. Ser. Mat., 80:3 (2016),  184
58. The times of Yuri Vasilyevich Prokhorov
    
    Teor. Veroyatnost. i Primenen., 57:2 (2012),  353–369
59. Complement to the paper “On the central limit theorem along subsequences of noncorrelated observations”
    
    Teor. Veroyatnost. i Primenen., 49:2 (2004),  412–414