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Götze, Friedrich
Statistics Math-Net.Ru
Total publications: 58
Scientific articles: 55
Presentations: 5

Number of views:
This page:3287
Abstract pages:20479
Full texts:6193
References:2518
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https://www.mathnet.ru/eng/person20046
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https://mathscinet.ams.org/mathscinet/MRAuthorID/194198

Publications in Math-Net.Ru Citations
2022
1. F. Götze, A. Yu. Zaitsev, “On alternative approximating distributions in the multivariate version of Kolmogorov's second uniform limit theorem”, Teor. Veroyatnost. i Primenen., 67:1 (2022),  3–22  mathnet  mathscinet  zmath; Theory Probab. Appl., 67:1 (2022), 1–16  scopus 2
2. F. Götze, A. N. Tikhomirov, D. A. Timushev, “Local laws for sparse sample covariance matrices without the truncation condition”, Zap. Nauchn. Sem. POMI, 510 (2022),  65–86  mathnet  mathscinet
2021
3. V. V. Beresnevich, V. I. Bernik, F. Götze, E. V. Zasimovich, N. I. Kalosha, “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  mathnet 1
4. F. Götze, D. A. Timushev, A. N. Tikhomirov, “Local Marchenko–Pastur law for sparse rectangular random matrices”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021),  22–25  mathnet  zmath  elib; Dokl. Math., 104:3 (2021), 332–335  scopus
5. G. P. Chistyakov, F. Götze, “Approximation of free convolutions by free infinitely divisible laws”, Teor. Veroyatnost. i Primenen., 66:4 (2021),  806–838  mathnet  mathscinet  zmath; Theory Probab. Appl., 66:4 (2022), 640–667  scopus
6. F. Götze, Z. Kabluchko, D. Zaporozhets, “Grassmann angles and absorption probabilities of Gaussian convex hulls”, Zap. Nauchn. Sem. POMI, 501 (2021),  126–148  mathnet 2
7. F. Götze, A. Yu. Zaitsev, “Convergence to infinite-dimensional compound Poisson distributions on convex polyhedra”, Zap. Nauchn. Sem. POMI, 501 (2021),  118–125  mathnet 3
2020
8. D. Dzindzalieta, F. Götze, “Half-spaces with influential variable”, Teor. Veroyatnost. i Primenen., 65:1 (2020),  142–150  mathnet  elib; Theory Probab. Appl., 65:1 (2020), 114–120  isi  scopus 1
9. F. Götze, A. A. Naumov, A. N. Tikhomirov, “Moment inequalities for linear and nonlinear statistics”, Teor. Veroyatnost. i Primenen., 65:1 (2020),  3–22  mathnet  elib; Theory Probab. Appl., 65:1 (2020), 1–16  isi  scopus 5
2019
10. V. I. Bernik, F. Götze, N. I. Kalosha, “Counting algebraic numbers in short intervals with rational points”, Journal of the Belarusian State University. Mathematics and Informatics, 1 (2019),  4–11  mathnet 2
11. F. Götze, A. Yu. Zaitsev, D. Zaporozhets, “Improved multivariate version of the second Kolmogorov's uniform limit theorem”, Zap. Nauchn. Sem. POMI, 486 (2019),  71–85  mathnet 1
2018
12. F. Götze, A. Yu. Zaitsev, “Estimates for the closeness of convolutions of probability distributions on convex polyhedra”, Zap. Nauchn. Sem. POMI, 474 (2018),  108–117  mathnet 5
13. 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  mathnet
2017
14. F. Götze, Yu. S. Eliseeva, A. Yu. Zaitsev, “Arak inequalities for concentration functions and the Littlewood–Offord problem”, Teor. Veroyatnost. i Primenen., 62:2 (2017),  241–266  mathnet  mathscinet  elib; Theory Probab. Appl., 62:2 (2018), 196–215  isi  scopus 4
15. Yu. V. Prokhorov, F. Götze, V. V. Ulyanov, “On bounds for characteristic functions of the powers of asymptotically normal random variables”, Teor. Veroyatnost. i Primenen., 62:1 (2017),  122–144  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 62:1 (2018), 98–116  isi  scopus
16. F. Götze, A. A. Naumov, A. N. Tikhomirov, “Local semicircle law under moment conditions: Stieltjes transform, rigidity and delocalization”, Teor. Veroyatnost. i Primenen., 62:1 (2017),  72–103  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 62:1 (2018), 58–83  isi  scopus 8
17. F. Götze, A. Yu. Zaitsev, “Rare events and Poisson point processes”, Zap. Nauchn. Sem. POMI, 466 (2017),  109–119  mathnet 3
18. S. G. Bobkov, G. P. Chistyakov, F. Götze, “Gaussian mixtures and normal approximation for V. N. Sudakov's typical distributions”, Zap. Nauchn. Sem. POMI, 457 (2017),  37–52  mathnet; J. Math. Sci. (N. Y.), 238:4 (2019), 366–376 3
2016
19. F. Götze, D. Koliada, D. Zaporozhets, “Correlation functions of real zeros of random polynomials”, Zap. Nauchn. Sem. POMI, 454 (2016),  102–111  mathnet  mathscinet; J. Math. Sci. (N. Y.), 229:6 (2018), 664–670  scopus 5
20. V. Bernik, F. Götze, A. Gusakova, “On the distribution of points with algebraically conjugate coordinates in a neighborhood of smooth curves”, Zap. Nauchn. Sem. POMI, 448 (2016),  14–47  mathnet  mathscinet; J. Math. Sci. (N. Y.), 224:2 (2017), 176–198  scopus 6
2015
21. F. Götze, D. Kaliada, D. N. Zaporozhets, “Correlations between real conjugate algebraic numbers”, Chebyshevskii Sb., 16:4 (2015),  90–99  mathnet  elib 2
22. N. V. Budarina, F. Götze, “On regular systems of algebraic $p$-adic numbers of arbitrary degree in small cylinders”, Dal'nevost. Mat. Zh., 15:2 (2015),  133–155  mathnet  elib 2
23. N. V. Budarina, V. I. Bernik, F. Götze, “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  mathnet  elib
24. V. I. Bernik, F. Götze, “Distribution of real algebraic numbers of arbitrary degree in short intervals”, Izv. RAN. Ser. Mat., 79:1 (2015),  21–42  mathnet  mathscinet  zmath  elib; Izv. Math., 79:1 (2015), 18–39  isi  scopus 23
25. F. Götze, D. Zaporozhets, “Discriminant and root separation of integral polynomials”, Zap. Nauchn. Sem. POMI, 441 (2015),  144–153  mathnet  mathscinet; J. Math. Sci. (N. Y.), 219:5 (2016), 700–706 4
2014
26. F. Götze, A. A. Naumov, A. N. Tikhomirov, “Limit theorems for two classes of random matrices with dependent entries”, Teor. Veroyatnost. i Primenen., 59:1 (2014),  61–80  mathnet  mathscinet  elib; Theory Probab. Appl., 59:1 (2015), 23–39  isi  scopus 18
2013
27. N. V. Budarina, F. Götze, “Distance between Conjugate Algebraic Numbers in Clusters”, Mat. Zametki, 94:5 (2013),  780–783  mathnet  mathscinet  zmath  elib; Math. Notes, 94:5 (2013), 816–819  isi  elib  scopus 7
28. Yu. S. Eliseeva, F. Götze, A. Yu. Zaitsev, “Estimates for the concentration functions in the Littlewood–Offord problem”, Zap. Nauchn. Sem. POMI, 420 (2013),  50–69  mathnet; J. Math. Sci. (N. Y.), 206:2 (2015), 146–158  scopus 13
2012
29. S. G. Bobkov, G. P. Chistyakov, F. Götze, “Stability problems in Cramér-type characterization in case of I.I.D. Summands”, Teor. Veroyatnost. i Primenen., 57:4 (2012),  701–723  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 57:4 (2013), 568–588  isi  scopus 7
30. N. Alexeev, F. Götze, A. Tikhomirov, “On the asymptotic distribution of the singular values of powers of random matrices”, Zap. Nauchn. Sem. POMI, 408 (2012),  9–42  mathnet  mathscinet; J. Math. Sci. (N. Y.), 199:2 (2014), 68–87  scopus 2
2011
31. F. Götze, A. Yu. Zaitsev, “Estimates for the rate of strong approximation in Hilbert space”, Sibirsk. Mat. Zh., 52:4 (2011),  796–808  mathnet  mathscinet; Siberian Math. J., 52:4 (2011), 628–638  isi  scopus 4
32. F. Götze, D. N. Zaporozhets, “On the distribution of complex roots of random polynomials with heavy-tailed coefficients”, Teor. Veroyatnost. i Primenen., 56:4 (2011),  812–818  mathnet  mathscinet  elib; Theory Probab. Appl., 56:4 (2011), 696–703  isi  elib  scopus 4
2010
33. F. Götze, A. Yu. Zaitsev, “Uniform rates of approximation by short asymptotic expansions in the CLT for quadratic forms”, Zap. Nauchn. Sem. POMI, 384 (2010),  105–153  mathnet; J. Math. Sci. (N. Y.), 176:2 (2011), 162–189  scopus 4
2009
34. F. Götze, A. N. Tikhomirov, “The Rate of Convergence of Spectra of Sample Covariance Matrices”, Teor. Veroyatnost. i Primenen., 54:1 (2009),  202–213  mathnet  mathscinet; Theory Probab. Appl., 54:1 (2010), 129–140  isi  scopus 11
35. F. Götze, A. Yu. Zaitsev, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 167:4 (2010), 495–500  scopus 7
36. S. G. Bobkov, F. Götze, A. N. Tikhomirov, “On the concentration of high dimensional matrices with randomly signed entries”, Zap. Nauchn. Sem. POMI, 364 (2009),  32–69  mathnet  elib; J. Math. Sci. (N. Y.), 163:4 (2010), 328–351  scopus 1
2008
37. F. Götze, A. Yu. Zaitsev, “Bounds for the Rate of Strong Approximation in the Multidimensional Invariance Principle”, Teor. Veroyatnost. i Primenen., 53:1 (2008),  100–123  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 53:1 (2009), 59–80  isi  elib  scopus 15
2007
38. V. Bernik, F. Götze, O. Kukso, “Bad-approximable points and distribution of discriminants of the product of linear integer polynomials”, Chebyshevskii Sb., 8:2 (2007),  140–147  mathnet  mathscinet  zmath 2
39. F. Götze, A. N. Tikhomirov, V. A. Yurchenko, “Asymptotic expansion in the central limit theorem for quadratic forms”, Zap. Nauchn. Sem. POMI, 341 (2007),  81–114  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 147:4 (2007), 6891–6911  scopus 6
40. F. Götze, M. I. Gordin, A. Levina, “Limit correlation functions at zero for fixed trace random matrix ensembles”, Zap. Nauchn. Sem. POMI, 341 (2007),  68–80  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 147:4 (2007), 6884–6890  elib  scopus 5
2006
41. F. Götze, A. N. Tikhomirov, “Limit theorems for spectra of random matrices with martingale structure”, Teor. Veroyatnost. i Primenen., 51:1 (2006),  171–192  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 51:1 (2007), 42–64  isi  scopus 20
2004
42. F. Götze, A. Yu. Zaitsev, “Approximation of convolutions by accompanying laws without centering”, Zap. Nauchn. Sem. POMI, 320 (2004),  44–53  mathnet  mathscinet; J. Math. Sci. (N. Y.), 137:1 (2006), 4510–4515 9
43. F. Götze, A. N. Tikhomirov, “Limit theorems for spectra of positive random matrices under dependence”, Zap. Nauchn. Sem. POMI, 311 (2004),  92–123  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 133:3 (2006), 1257–1276 10
2003
44. F. Götze, M. Gordin, “Limiting distributions of theta series on Siegel half-spaces”, Algebra i Analiz, 15:1 (2003),  118–147  mathnet  mathscinet  zmath; St. Petersburg Math. J., 15:1 (2004), 81–102 3
45. S. G. Bobkov, F. Götze, “On the central limit theorem along subsequences of noncorrelated observations”, Teor. Veroyatnost. i Primenen., 48:4 (2003),  745–765  mathnet  mathscinet  zmath; Theory Probab. Appl., 48:4 (2004), 604–621  isi 4
46. G. P. Chistyakov, F. Götze, “On bounds for moderate deviations for Student's statistic”, Teor. Veroyatnost. i Primenen., 48:3 (2003),  609–615  mathnet  mathscinet  zmath; Theory Probab. Appl., 48:3 (2004), 528–535  isi 6
2002
47. G. P. Chistyakov, F. Götze, “Moderate deviations for Student's statistic”, Teor. Veroyatnost. i Primenen., 47:3 (2002),  518–532  mathnet  mathscinet  zmath; Theory Probab. Appl., 47:3 (2003), 415–428  isi 9
48. F. Götze, A. N. Tikhomirov, “Rate of convergence to the semi-circular law for the Gaussian unitary ensemble”, Teor. Veroyatnost. i Primenen., 47:2 (2002),  381–387  mathnet  mathscinet  zmath; Theory Probab. Appl., 47:2 (2003), 323–330  isi 9
1997
49. S. G. Bobkov, F. Götze, “On moments of polynomials”, Teor. Veroyatnost. i Primenen., 42:3 (1997),  638–640  mathnet  mathscinet  zmath; Theory Probab. Appl., 42:3 (1998), 518–520  isi 4
50. V. Bentkus, F. Götze, A. Yu. Zaitsev, “Approximation of quadratic forms of independent random vectors by accompanying laws”, Teor. Veroyatnost. i Primenen., 42:2 (1997),  308–335  mathnet  mathscinet  zmath; Theory Probab. Appl., 42:2 (1998), 189–212  isi 7
51. F. Götze, Yu. V. Prokhorov, V. V. Ulyanov, “On smooth behavior of probability distributions under polynomial mappings”, Teor. Veroyatnost. i Primenen., 42:1 (1997),  51–62  mathnet  mathscinet  zmath; Theory Probab. Appl., 42:1 (1998), 28–38  isi 4
1996
52. F. Götze, Yu. V. Prokhorov, V. V. Ulyanov, “Bounds for characteristic functions of polynomials in asymptotically normal random variables”, Uspekhi Mat. Nauk, 51:2(308) (1996),  3–26  mathnet  mathscinet; Russian Math. Surveys, 51:2 (1996), 181–204  isi  scopus 10
1995
53. V. Bentkus, F. Götze, “On the number of lattice points in a large ellipsoid”, Dokl. Akad. Nauk, 343:4 (1995),  439–440  mathnet  mathscinet  zmath 1
54. V. Bentkus, F. Götze, “On minimal moment assumptions in Berry–Esséen theorems for $U$-statistics”, Teor. Veroyatnost. i Primenen., 40:3 (1995),  596–614  mathnet  mathscinet  zmath; Theory Probab. Appl., 40:3 (1995), 430–445  isi 4
1991
55. V. Bentkus, F. Götze, V. Paulauskas, A. Račkauskas, “The accuracy of Gaussian approximation in Banach spaces”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 81 (1991),  39–139  mathnet  mathscinet  zmath 6
2016
56. V. I. Bernik, F. Götze, “Letter to the editors”, Izv. RAN. Ser. Mat., 80:3 (2016),  184  mathnet  mathscinet  zmath  elib; Izv. Math., 80:3 (2016), 633  isi  scopus
2012
57. F. Götze, W. R. van Zwet, “The times of Yuri Vasilyevich Prokhorov”, Teor. Veroyatnost. i Primenen., 57:2 (2012),  353–369  mathnet  mathscinet  zmath  elib; Theory Probab. Appl., 57:2 (2013), 306–322  isi  scopus
2004
58. S. G. Bobkov, F. Götze, “Complement to the paper “On the central limit theorem along subsequences of noncorrelated observations””, Teor. Veroyatnost. i Primenen., 49:2 (2004),  412–414  mathnet  mathscinet; Theory Probab. Appl., 49:2 (2005), 373–375  isi

Presentations in Math-Net.Ru
1. Approximation by infinitely divisible distributions in free probability
Friedrich Götze
International Conference "Theory of Probability and Its Applications: P. L. Chebyshev – 200" (The 6th International Conference on Stochastic Methods)
May 19, 2021 11:00   
2. Concentration of measure and entropic convergence
Friedrich Götze
International conference "Prokhorov and Probability Theory" dedicated to the 90th anniversary of birth of Yu. V. Prokhorov
December 16, 2019 11:00   
3. Entropy Expansions in Probability
F. Götze
International Scientific Conference "Probability Theory and its Applications" On Occasion of 85th Birthday of Yu. V. Prokhorov
February 12, 2015 10:45   
4. Approximations in free and classical Central Limit Theorems
Friedrich Goetze
Principle Seminar of the Department of Probability Theory, Moscow State University
September 17, 2010 14:35
5. Approximations in free and classical Central Limit Theorems
F. Götze
Mathematics - XXI century. PDMI 70th anniversary
September 13, 2010 10:30   

Organisations
 
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