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Author ID: gotze.friedrich-w Recent zbMATH articles by "Götze, Friedrich"
Published as: Götze, F.; Götze, Friedrich; Goetze, F.
Further Spellings: Götze, Friedrich W.
Homepage: https://www.math.uni-bielefeld.de/~goetze/
External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · dblp · GND · IdRef
Documents Indexed: 224 Publications since 1978, including 3 Books
5 Contributions as Editor · 1 Further Contribution
Reviewing Activity: 36 Reviews
Biographic References: 1 Publication
Co-Authors: 70 Co-Authors with 212 Joint Publications
1,706 Co-Co-Authors
all top 5

Co-Authors

17 single-authored
35 Tikhomirov, Alexander Nikolaevich
32 Bobkov, Sergey Germanovich
32 Chistyakov, Gennadiy P.
21 Bernik, Vasiliĭ Ivanovich
20 Bentkus, Vidmants-Kastytis
18 Zaitsev, Andrei Yu.
14 Naumov, Alekseĭ Aleksandrovich
10 van Zwet, Willem Rutger
9 Bloznelis, Mindaugas
9 Zaporozhets, Dmitry
8 Gusakova, Anna Grigorevna
8 Ul’yanov, Vladimir Vasil’evich
7 Beresnevich, Victor V.
7 Bickel, Peter John
7 Kukso, Olga
6 Hipp, Christian
6 Prokhorov, Yuriĭ Vasil’evich
6 Sambale, Holger
5 Kaliada, Dzianis
5 Paulauskas, Vygantas Ionovič
4 Budarina, Natalia Viktorovna
4 Račkauskas, Alfredas Yurgevich
4 Timushev, Dmitry Anatolievich
3 Alexeev, Nikita V.
3 Eliseeva, Yulia S.
3 Gordin, Mikhail Iosifovich
3 Kösters, Holger
3 Sinulis, Arthur
3 Zitikis, Ričardas
2 Baake, Michael
2 Bhattacharya, Rabi N.
2 Buterus, Paul
2 Giné-Masdéu, Evarist
2 Hille, Thomas
1 Agricola, Ilka
1 Akemann, Gernot
1 Baumeister, Barbara
1 Bogatyrev, Sergey Anatolievich
1 Bolthausen, Erwin
1 Bux, Kai-Uwe
1 de Gunst, Mathisca C. M.
1 Dzindzalieta, Dainius
1 Erdős, László
1 Fiocco, Marta
1 Fisher, Nicholas I.
1 Grötschel, Martin
1 Guionnet, Alice
1 Heinrich, Lothar
1 Hoffmann, Werner
1 Houdré, Christian
1 Huck, Christian
1 Hulek, Klaus
1 Jakobi, Tobias
1 Jalowy, Jonas
1 Jaworski, Jerzy
1 Kabluchko, Zakhar A.
1 Kalosha, Nikolaĭ Ivanovich
1 Kielak, Dawid
1 Kirsch, Werner
1 Klopp, Frédéric
1 Krause, Henning
1 Kriecherbauer, Thomas
1 Künsch, Hans Rudolf
1 Margulis, Grigoriĭ Aleksandrovich
1 Mason, David M.
1 Merkl, Franz
1 Michor, Peter Wolfram
1 Milbrodt, Hartmut
1 Nebe, Gabriele
1 Neuschel, Thorsten
1 Prömel, Hans Jürgen
1 Samworth, Richard J.
1 Spokoiny, Vladimir G.
1 Venker, Martin
1 Vygen, Jens
1 Woeginger, Gerhard Johannes
1 Yuan, Ming
1 Zalesskij, Boris Andreevich
all top 5

Serials

20 The Annals of Probability
19 Theory of Probability and its Applications
13 Journal of Mathematical Sciences (New York)
12 Probability Theory and Related Fields
12 Bernoulli
10 Journal of Theoretical Probability
8 The Annals of Statistics
7 Lithuanian Mathematical Journal
7 Doklady Mathematics
5 Doklady Natsional’noĭ Akademii Nauk Belarusi
4 Teoriya Veroyatnosteĭ i eë Primeneniya
4 Journal of Multivariate Analysis
4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
4 Zapiski Nauchnykh Seminarov POMI
4 Mathematical Methods of Statistics
4 Electronic Journal of Probability
4 Central European Journal of Mathematics
4 Random Matrices: Theory and Applications
3 Acta Arithmetica
3 Electronic Communications in Probability
2 Communications in Mathematical Physics
2 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
2 Scandinavian Journal of Statistics
2 Advances in Mathematics
2 Inventiones Mathematicae
2 Journal of Applied Probability
2 Journal of Functional Analysis
2 Acta Applicandae Mathematicae
2 Stochastic Processes and their Applications
2 Izvestiya: Mathematics
2 Documenta Mathematica
2 Communications in Contemporary Mathematics
2 Oberwolfach Reports
2 Chebyshevskiĭ Sbornik
2 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 IEEE Transactions on Information Theory
1 Journal of Statistical Physics
1 Mathematical Notes
1 Russian Mathematical Surveys
1 Compositio Mathematica
1 Journal of Number Theory
1 Proceedings of the American Mathematical Society
1 Siberian Mathematical Journal
1 Probability and Mathematical Statistics
1 Forum Mathematicum
1 St. Petersburg Mathematical Journal
1 Statistica Sinica
1 Annals of Mathematics. Second Series
1 Acta Physica Polonica B
1 Acta Crystallographica. Section A
1 Moscow Journal of Combinatorics and Number Theory
1 European Journal of Mathematics
1 Transactions of the American Mathematical Society. Series B
1 Zhurnal Belorusskogo Gosudarstvennogo Universiteta. Matematika. Informatika
1 EMS Series of Congress Reports

Publications by Year

Citations contained in zbMATH Open

179 Publications have been cited 1,943 times in 1,297 Documents Cited by Year
Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. Zbl 0924.46027
Bobkov, S. G.; Götze, F.
211
1999
When is the Student \(t\)-statistic asymptotically standard normal? Zbl 0958.60023
Giné, Evarist; Götze, Friedrich; Mason, David M.
100
1997
Resampling fewer than \(n\) observations: gains, losses, and remedies for losses. Zbl 0927.62043
Bickel, P. J.; Götze, F.; van Zwet, W. R.
98
1997
On the rate of convergence in the multivariate CLT. Zbl 0729.62051
Götze, F.
69
1991
The circular law for random matrices. Zbl 1203.60010
Götze, Friedrich; Tikhomirov, Alexander
68
2010
Asymptotic expansions for sums of weakly dependent random vectors. Zbl 0497.60022
Goetze, F.; Hipp, C.
60
1983
The Edgeworth expansion for U-statistics of degree two. Zbl 0614.62015
Bickel, P. J.; Götze, F.; van Zwet, W. R.
52
1986
Second-order correctness of the blockwise bootstrap for stationary observations. Zbl 0906.62040
Götze, F.; Künsch, H. R.
49
1996
The Berry-Esseen bound for Student’s statistic. Zbl 0855.62009
Bentkus, V.; Götze, F.
46
1996
Asymptotic expansions for bivariate von Mises functionals. Zbl 0405.60009
Götze, F.
41
1979
Rate of convergence to the semi-circular law. Zbl 1031.60019
Götze, F.; Tikhomirov, A.
30
2003
An Edgeworth expansion for symmetric statistics. Zbl 0920.62016
Bentkus, V.; Götze, F.; van Zwet, W. R.
28
1997
Asymptotic expansions in the central limit theorem under moment conditions. Zbl 0369.60027
Götze, F.; Hipp, C.
28
1978
Lattice point problems and values of quadratic forms. Zbl 1090.11063
Götze, Friedrich
23
2004
The arithmetic of distributions in free probability theory. Zbl 1239.46046
Chistyakov, Gennadii P.; Götze, Friedrich
23
2011
The rate of convergence for spectra of GUE and LUE matrix ensembles. Zbl 1108.60014
Götze, Friedrich; Tikhomirov, Alexander
23
2005
Lattice point problems and distribution of values of quadratic forms. Zbl 0979.11048
Bentkus, V.; Götze, F.
23
1999
Limit theorems in free probability theory. I. Zbl 1157.46037
Chistyakov, G. P.; Götze, F.
23
2008
Asymptotic distribution of statistics in time series. Zbl 0827.62015
Götze, F.; Hipp, C.
22
1994
Asymptotic distribution of singular values of powers of random matrices. Zbl 1208.60021
Alexeev, N.; Götze, F.; Tikhomirov, A.
22
2010
The distribution of close conjugate algebraic numbers. Zbl 1206.11091
Beresnevich, Victor; Bernik, Vasili; Götze, Friedrich
21
2010
Discrete isoperimetric and Poincaré-type inequalities. Zbl 0940.60028
Bobkov, S. G.; Götze, F.
20
1999
Limit distributions of Studentized means. Zbl 1056.60020
Chistyakov, G. P.; Götze, F.
20
2004
Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. Zbl 1012.62009
Bloznelis, M.; Götze, F.
19
2001
Asymptotic distribution of quadratic forms. Zbl 0941.60049
Götze, F.; Tikhomirov, A. N.
19
1999
A Berry-Esséen bound for Student’s statistic in the non-i. i. d. case. Zbl 0923.60029
Bentkus, V.; Bloznelis, M.; Götze, F.
18
1996
Concentration inequalities and limit theorems for randomized sums. Zbl 1111.60014
Bobkov, Sergey G.; Götze, Friedrich
17
2007
Optimal rates of convergence in the CLT for quadratic forms. Zbl 0858.62010
Bentkus, V.; Götze, F.
17
1996
Rate of convergence in probability to the Marchenko-Pastur law. Zbl 1049.60018
Götze, Friedrich; Tikhomirov, Alexander
17
2004
On Edgeworth expansions in Banach spaces. Zbl 0473.60009
Goetze, F.
17
1981
On Gaussian and Bernoulli covariance representations. Zbl 1053.60019
Bobkov, Sergey G.; Götze, Friedrich; Houdré, Christian
14
2001
The rate of convergence for multivariate sampling statistics. Zbl 0798.62023
Bolthausen, Erwin; Götze, Friedrich
14
1993
Berry-Esseen bounds in the entropic central limit theorem. Zbl 1307.60011
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
14
2014
On the local semicircular law for Wigner ensembles. Zbl 1429.60010
Götze, Friedrich; Naumov, Alexey; Tikhomirov, Alexander; Timushev, Dmitry
14
2018
Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem. Zbl 1296.60051
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
13
2013
On the lattice point problem for ellipsoid. Zbl 0871.11069
Bentkus, V.; Götze, F.
13
1997
On the singular spectrum of powers and products of random matrices. Zbl 1211.60003
Alexeev, N. V.; Götze, F.; Tikhomirov, A. N.
13
2010
Lower bounds for the number of integral polynomials with given order of discriminants. Zbl 1222.11096
Bernik, Vasili; Götze, Friedrich; Kukso, Olga
13
2008
Fisher information and the central limit theorem. Zbl 1372.60018
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
13
2014
Asymptotic distribution of quadratic forms and applications. Zbl 1002.60018
Götze, F.; Tikhomirov, A.
12
2002
Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces. Zbl 0888.60021
Bentkus, V.; Götze, F.
12
1997
On the second-order correlation function of the characteristic polynomial of a Hermitian Wigner matrix. Zbl 1193.15035
Götze, F.; Kösters, H.
12
2009
On concentration of empirical measures and convergence to the semi-circle law. Zbl 1247.60010
Bobkov, S. G.; Götze, F.; Tikhomirov, A. N.
11
2010
Integral polynomials with small discriminants and resultants. Zbl 1339.11073
Beresnevich, Victor; Bernik, Vasili; Götze, Friedrich
11
2016
Higher order concentration for functions of weakly dependent random variables. Zbl 1451.60027
Götze, Friedrich; Sambale, Holger; Sinulis, Arthur
10
2019
Lower estimates of the convergence rate for \(U\)-statistics. Zbl 0839.60023
Bentkus, Vidmantas; Götze, Friedrich; Zitikis, Ričardas
10
1994
Approximations for multivariate U-statistics. Zbl 0624.62028
Götze, F.
10
1987
Optimal bounds in non-Gaussian limit theorems for \(U\)-statistics. Zbl 1008.62017
Bentkus, V.; Götze, F.
9
1999
Explicit rates of approximation in the CLT for quadratic forms. Zbl 1290.60021
Götze, Friedrich; Zaitsev, Andrei Yu.
9
2014
The accuracy of Gaussian approximation in Banach spaces. Zbl 0960.60008
Bentkus, V.; Götze, F.; Paulauskas, V.; Račkauskas, A.
9
2000
Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. Zbl 1331.60019
Götze, F.; Kösters, H.; Tikhomirov, A.
9
2015
Local universality of repulsive particle systems and random matrices. Zbl 1301.60009
Götze, Friedrich; Venker, Martin
8
2014
The asymptotic number of integral cubic polynomials with bounded heights and discriminants. Zbl 1322.11078
Kaliada, Dzianis; Götze, Friedrich; Kukso, Olga
8
2014
An Edgeworth expansion for symmetric finite population statistics. Zbl 1010.62017
Bloznelis, M.; Götze, F.
8
2002
Edgeworth expansions in functional limit theorems. Zbl 0689.60038
Götze, F.
8
1989
On the rate of convergence in the central limit theorem in Banach spaces. Zbl 0599.60009
Götze, F.
8
1986
Accuracy of Gaussian approximation in Banach spaces. Zbl 0797.60010
Bentkus, V.; Götze, F.; Paulauskas, V.; Račkauskas, A.
8
1991
Bounds for the rate of strong approximation in the multidimensional invariance principle. Zbl 1196.60053
Götze, F.; Zaitsev, A. Yu.
8
2009
Distribution of complex algebraic numbers. Zbl 1350.11087
Götze, Friedrich; Kaliada, Dzianis; Zaporozhets, Dmitry
8
2017
Distribution of real algebraic numbers of arbitrary degree in short intervals. Zbl 1334.11058
Bernik, V. I.; Götze, F.
8
2015
Second-order concentration on the sphere. Zbl 1373.60043
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
8
2017
Adaptive choice of bootstrap sample sizes. Zbl 1373.62177
Götze, Friedrich; Račkauskas, Alfredas
8
2001
Local semicircle law under moment conditions: the Stieltjes transform, rigidity, and delocalization. Zbl 1426.15056
Götze, F.; Naumov, A. A.; Tikhomirov, A. N.
7
2018
Estimates for the rapid decay of concentration functions of \(n\)-fold convolutions. Zbl 0936.60014
Götze, F.; Zaitsev, A. Yu.
7
1998
Asymptotic expansions in the CLT in free probability. Zbl 1282.46059
Chistyakov, G. P.; Götze, F.
7
2013
Limit correlation functions for fixed trace random matrix ensembles. Zbl 1165.82016
Götze, Friedrich; Gordin, Mikhail
7
2008
An Edgeworth expansion for finite-population \(U\)-statistics. Zbl 0982.62009
Bloznelis, Mindaugas; Götze, Friedrich
7
2000
Optimal bounds for convergence of expected spectral distributions to the semi-circular law. Zbl 1338.60014
Götze, F.; Tikhomirov, A.
7
2016
On minimal singular values of random matrices with correlated entries. Zbl 1348.15023
Götze, F.; Naumov, A.; Tikhomirov, A.
7
2015
Estimates for the concentration functions in the Littlewood-Offord problem. Zbl 1332.15093
Eliseeva, Yu. S.; Götze, F.; Zaitsev, A. Yu.
7
2015
On the divisibility of the discriminant of an integral polynomial by prime powers. Zbl 1228.11111
Bernik, V.; Götze, F.; Kukso, O.
7
2008
Bounds for the accuracy of Poissonian approximations of stable laws. Zbl 0885.62014
Bentkus, V.; Götze, F.; Paulauskas, V.
6
1996
Limit theorems for spectra of positive random matrices under dependence. Zbl 1075.60017
Götze, F.; Tikhomirov, A.
6
2004
Non-uniform bounds in local limit theorems in case of fractional moments. I. Zbl 1239.60016
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
6
2011
Asymptotic expansions for potential functions of I.I.D. random fields. Zbl 0659.60035
Götze, F.; Hipp, C.
6
1989
Simultaneous approximations of zero by an integral polynomial its derivative, and small values of discriminants. Zbl 1267.11079
Beresnevich, V. V.; Bernik, V. I.; Götze, F.
6
2010
Limit theorems for spectra of random matrices with martingale structure. Zbl 1118.15022
Götze, F.; Tikhomirov, A. N.
6
2007
Limit correlation functions at zero for fixed trace random matrix ensembles. Zbl 1153.60026
Götze, F.; Gordin, M. I.; Levina, A.
6
2007
Entropic instability of Cramer’s characterization of the normal law. Zbl 1371.60005
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
6
2012
A simple analysis of third-order efficiency of estimates. Zbl 1373.62093
Bickel, Peter J.; Götze, Friedrich; van Zwet, W. R.
6
1985
Distribution of algebraic numbers and metric theory of Diophantine approximation. Zbl 1316.11063
Bernik, V.; Beresnevich, V.; Götze, F.; Kukso, O.
5
2013
Local laws for non-Hermitian random matrices. Zbl 1392.60012
Götze, F.; Naumov, A. A.; Tikhomirov, A. N.
5
2017
Correlation functions of real zeros of random polynomials. Zbl 1386.60188
Götze, F.; Kaliada, D.; Zaporozhets, D.
5
2018
Approximation of quadratic forms of independent random vectors by accompanying laws. Zbl 0913.60034
Bentkus, V.; Götze, F.; Zaitsev, A. Yu.
5
1997
Berry-Esseen bounds for statistics of weakly dependent samples. Zbl 1066.62505
Bentkus, V.; Götze, F.; Tikhomirov, A.
5
1997
Bounds for characteristic functions in terms of quantiles and entropy. Zbl 1258.60022
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
5
2012
Distance between conjugate algebraic numbers in clusters. Zbl 1284.11051
Budarina, N. V.; Goetze, F.
5
2013
Asymptotic expansions in functional limit theorems. Zbl 0557.60027
Götze, F.
5
1985
Hardy type inequalities via Riccati and Sturm-Liouville equations. Zbl 1173.26319
Bobkov, Sergey; Götze, Friedrich
5
2009
The rate of convergence of spectra of sample covariance matrices. Zbl 1210.60013
Götze, F.; Tikhomirov, A. N.
5
2009
Fisher information and convergence to stable laws. Zbl 1315.60031
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
5
2014
Limit theorems in free probability theory II. Zbl 1148.46035
Chistyakov, Gennadii P.; Götze, Friedrich
5
2008
On points with algebraically conjugate coordinates close to smooth curves. Zbl 1375.11058
Bernik, Vasilii; Götze, Friedrich; Gusakova, A.
5
2016
Resampling fewer than \(n\) observations: gains, losses, and remedies for losses. Zbl 1373.62173
Bickel, P. J.; Götze, F.; van Zwet, W. R.
5
2012
Berry-Esseen bounds for typical weighted sums. Zbl 1414.60012
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
4
2018
Lattice point problems and the central limit theorem in Euclidean spaces. Zbl 0906.60023
Götze, F.
4
1998
On the lattice point problem for ellipsoids. Zbl 0879.11053
Bentkus, V.; Götze, F.
4
1995
Asymptotic expansions in non-central limit theorems for quadratic forms. Zbl 1089.60017
Götze, F.; Tikhomirov, A. N.
4
2005
\(m\)-dependent random fields with analytic cumulant generating function. Zbl 0841.60033
Götze, F.; Heinrich, L.; Hipp, C.
4
1995
Birth of a strongly connected giant in an inhomogeneous random digraph. Zbl 1252.05196
Bloznelis, Mindaugas; Götze, Friedrich; Jaworski, Jerzy
4
2012
Concentration inequalities for bounded functionals via log-Sobolev-type inequalities. Zbl 1472.60036
Götze, Friedrich; Sambale, Holger; Sinulis, Arthur
2
2021
An improved multivariate version of Kolmogorov’s second uniform limit theorem. Zbl 1477.60033
Götze, F.; Zaitsev, A. Yu.; Zaporozhets, D.
2
2021
Concentration inequalities for polynomials in \(\alpha\)-sub-exponential random variables. Zbl 1475.60045
Götze, Friedrich; Sambale, Holger; Sinulis, Arthur
1
2021
Local laws for non-Hermitian random matrices and their products. Zbl 1472.60009
Götze, Friedrich; Naumov, Alexey; Tikhomirov, Alexander
3
2020
Rare events and Poisson point processes. Zbl 1459.60108
Götze, F.; Zaitsev, A. Yu.
2
2020
Local semicircle law under fourth moment condition. Zbl 1444.60013
Götze, F.; Naumov, A.; Tikhomirov, A.
2
2020
Estimates for closeness of convolutions of probability distributions on convex polyhedra. Zbl 1471.60029
Götze, F.; Zaitsev, A. Yu.
2
2020
Joint distribution of conjugate algebraic numbers: a random polynomial approach. Zbl 1443.11199
Götze, Friedrich; Koleda, Denis; Zaporozhets, Dmitry
2
2020
Normal approximation for weighted sums under a second-order correlation condition. Zbl 1476.60008
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
1
2020
Second order concentration via logarithmic Sobolev inequalities. Zbl 1448.60049
Götze, Friedrich; Sambale, Holger
1
2020
Moment inequalities for linear and nonlinear statistics. Zbl 1437.62172
Götze, F.; Naumov, A. A.; Tikhomirov, A. N.
1
2020
Half-spaces with influential variable. Zbl 1434.68196
Dzindzalieta, D.; Götze, F.
1
2020
Higher order concentration for functions of weakly dependent random variables. Zbl 1451.60027
Götze, Friedrich; Sambale, Holger; Sinulis, Arthur
10
2019
Higher order concentration of measure. Zbl 1447.60049
Bobkov, Sergey G.; Götze, Friedrich; Sambale, Holger
3
2019
Large ball probabilities, Gaussian comparison and anti-concentration. Zbl 1428.62187
Götze, Friedrich; Naumov, Alexey; Spokoiny, Vladimir; Ulyanov, Vladimir
3
2019
Rényi divergence and the central limit theorem. Zbl 1466.60065
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2019
Gaussian mixtures and normal approximation for V. N. Sudakov’s typical distributions. Zbl 1478.60072
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
2
2019
On optimal bounds in the local semicircle law under four moment condition. Zbl 1422.60027
Götze, F.; Naumov, A. A.; Tikhomirov, A. N.
1
2019
Random affine simplexes. Zbl 1447.60033
Götze, Friedrich; Gusakova, Anna; Zaporozhets, Dmitry
1
2019
Higher order concentration in presence of Poincaré-type inequalities. Zbl 1443.60024
Götze, Friedrich; Sambale, Holger
1
2019
Non-uniform bounds in the Poisson approximation with applications to informational distances. I. Zbl 1432.62034
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
1
2019
On the local semicircular law for Wigner ensembles. Zbl 1429.60010
Götze, Friedrich; Naumov, Alexey; Tikhomirov, Alexander; Timushev, Dmitry
14
2018
Local semicircle law under moment conditions: the Stieltjes transform, rigidity, and delocalization. Zbl 1426.15056
Götze, F.; Naumov, A. A.; Tikhomirov, A. N.
7
2018
Correlation functions of real zeros of random polynomials. Zbl 1386.60188
Götze, F.; Kaliada, D.; Zaporozhets, D.
5
2018
Berry-Esseen bounds for typical weighted sums. Zbl 1414.60012
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
4
2018
New applications of Arak’s inequalities to the Littlewood-Offord problem. Zbl 1392.60041
Götze, Friedrich; Zaitsev, Andrei Yu.
3
2018
Distribution of complex algebraic numbers. Zbl 1350.11087
Götze, Friedrich; Kaliada, Dzianis; Zaporozhets, Dmitry
8
2017
Second-order concentration on the sphere. Zbl 1373.60043
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
8
2017
Local laws for non-Hermitian random matrices. Zbl 1392.60012
Götze, F.; Naumov, A. A.; Tikhomirov, A. N.
5
2017
Distribution of linear statistics of singular values of the product of random matrices. Zbl 1390.60031
Götze, Friedrich; Naumov, Alexey; Tikhomirov, Alexander
4
2017
Exact upper bounds for the number of the polynomials with given discriminants. Zbl 1435.11097
Bernik, Vasili; Budarina, Natalia; Götze, Friedrich
3
2017
Asymptotic analysis of symmetric functions. Zbl 1395.60028
Götze, F.; Naumov, A.; Ulyanov, V.
3
2017
On algebraic integers in short intervals and near smooth curves. Zbl 1391.11082
Götze, Friedrich; Gusakova, Anna
2
2017
Integral polynomials with small discriminants and resultants. Zbl 1339.11073
Beresnevich, Victor; Bernik, Vasili; Götze, Friedrich
11
2016
Optimal bounds for convergence of expected spectral distributions to the semi-circular law. Zbl 1338.60014
Götze, F.; Tikhomirov, A.
7
2016
On points with algebraically conjugate coordinates close to smooth curves. Zbl 1375.11058
Bernik, Vasilii; Götze, Friedrich; Gusakova, A.
5
2016
Arak’s inequalities for concentration functions and the Littlewood-Offord problem. Zbl 1360.60041
Götze, F.; Eliseeva, Yu. S.; Zaitsev, A. Yu.
4
2016
Discriminant and root separation of integral polynomials. Zbl 1354.60058
Götze, F.; Zaporozhets, D.
3
2016
Regularized distributions and entropic stability of Cramer’s characterization of the normal law. Zbl 1387.60020
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
1
2016
Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. Zbl 1331.60019
Götze, F.; Kösters, H.; Tikhomirov, A.
9
2015
Distribution of real algebraic numbers of arbitrary degree in short intervals. Zbl 1334.11058
Bernik, V. I.; Götze, F.
8
2015
On minimal singular values of random matrices with correlated entries. Zbl 1348.15023
Götze, F.; Naumov, A.; Tikhomirov, A.
7
2015
Estimates for the concentration functions in the Littlewood-Offord problem. Zbl 1332.15093
Eliseeva, Yu. S.; Götze, F.; Zaitsev, A. Yu.
7
2015
Limit theorems for two classes of random matrices with dependent entries. Zbl 1314.60026
Götze, F.; Naumov, A. A.; Tikhomirov, A. N.
4
2015
On a generalization of the elliptic law for random matrices. Zbl 1371.60019
Götze, F.; Naumov, A.; Tikhomirov, A.
4
2015
On regular systems of algebraic \(p\)-adic numbers of arbitrary degree in small cylinders. Zbl 1388.11038
Budarina, N. V.; Götze, F.
1
2015
Correlations between real conjugate algebraic numbers. Zbl 1437.11092
Götze, F.; Kaliada, D.; Zaporozhets, D. N.
1
2015
Berry-Esseen bounds in the entropic central limit theorem. Zbl 1307.60011
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
14
2014
Fisher information and the central limit theorem. Zbl 1372.60018
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
13
2014
Explicit rates of approximation in the CLT for quadratic forms. Zbl 1290.60021
Götze, Friedrich; Zaitsev, Andrei Yu.
9
2014
Local universality of repulsive particle systems and random matrices. Zbl 1301.60009
Götze, Friedrich; Venker, Martin
8
2014
The asymptotic number of integral cubic polynomials with bounded heights and discriminants. Zbl 1322.11078
Kaliada, Dzianis; Götze, Friedrich; Kukso, Olga
8
2014
Fisher information and convergence to stable laws. Zbl 1315.60031
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
5
2014
On algebraic points in the plane near smooth curves. Zbl 1297.11078
Bernik, Vasilii; Götze, Friedrich; Kukso, Olga
3
2014
Radial spacing distributions from planar point sets. Zbl 1341.52039
Baake, M.; Götze, F.; Huck, C.; Jakobi, T.
1
2014
Preferred attachment in affiliation networks. Zbl 1304.91167
Bloznelis, Mindaugas; Götze, Friedrich
1
2014
Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem. Zbl 1296.60051
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
13
2013
Asymptotic expansions in the CLT in free probability. Zbl 1282.46059
Chistyakov, G. P.; Götze, F.
7
2013
Distribution of algebraic numbers and metric theory of Diophantine approximation. Zbl 1316.11063
Bernik, V.; Beresnevich, V.; Götze, F.; Kukso, O.
5
2013
Distance between conjugate algebraic numbers in clusters. Zbl 1284.11051
Budarina, N. V.; Goetze, F.
5
2013
Convergence to stable laws in relative entropy. Zbl 1288.60055
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2013
Stability problems in Cramér-type characterization in case of i.i.d. summands. Zbl 1303.60015
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2013
On the rate of convergence to the semi-circular law. Zbl 1274.60020
Götze, Friedrich; Tikhomirov, Alexandre
3
2013
Free infinitely divisible approximations of \(n\)-fold free convolutions. Zbl 1277.46032
Chistyakov, Gennadii; Götze, Friedrich
2
2013
Entropic instability of Cramer’s characterization of the normal law. Zbl 1371.60005
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
6
2012
Bounds for characteristic functions in terms of quantiles and entropy. Zbl 1258.60022
Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich
5
2012
Resampling fewer than \(n\) observations: gains, losses, and remedies for losses. Zbl 1373.62173
Bickel, P. J.; Götze, F.; van Zwet, W. R.
5
2012
Birth of a strongly connected giant in an inhomogeneous random digraph. Zbl 1252.05196
Bloznelis, Mindaugas; Götze, Friedrich; Jaworski, Jerzy
4
2012
On the distribution of complex roots of random polynomials with heavy-tailed coefficients. Zbl 1266.60095
Götze, F.; Zaporozhets, D.
1
2012
Regular systems of real algebraic numbers of third degree in small intervals. Zbl 1345.11047
Bernik, Vasilii; Götze, Friedrich; Kukso, Olga
1
2012
The arithmetic of distributions in free probability theory. Zbl 1239.46046
Chistyakov, Gennadii P.; Götze, Friedrich
23
2011
Non-uniform bounds in local limit theorems in case of fractional moments. I. Zbl 1239.60016
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
6
2011
Non-uniform bounds in local limit theorems in case of fractional moments. II. Zbl 1307.60010
Bobkov, S. G.; Chistyakov, G. P.; Götze, F.
3
2011
Estimates for the rate of strong approximation in Hilbert space. Zbl 1235.60028
Götze, F.; Zaitsev, A. Yu.
3
2011
Freeness of linear and quadratic forms in von Neumann algebras. Zbl 1373.46061
Chistyakov, G. P.; Götze, F.; Lehner, F.
2
2011
Uniform rates of approximation by short asymptotic expansions in the CLT for quadratic forms. Zbl 1290.60020
Götze, F.; Zaitsev, A. Yu.
2
2011
The circular law for random matrices. Zbl 1203.60010
Götze, Friedrich; Tikhomirov, Alexander
68
2010
Asymptotic distribution of singular values of powers of random matrices. Zbl 1208.60021
Alexeev, N.; Götze, F.; Tikhomirov, A.
22
2010
The distribution of close conjugate algebraic numbers. Zbl 1206.11091
Beresnevich, Victor; Bernik, Vasili; Götze, Friedrich
21
2010
On the singular spectrum of powers and products of random matrices. Zbl 1211.60003
Alexeev, N. V.; Götze, F.; Tikhomirov, A. N.
13
2010
On concentration of empirical measures and convergence to the semi-circle law. Zbl 1247.60010
Bobkov, S. G.; Götze, F.; Tikhomirov, A. N.
11
2010
Simultaneous approximations of zero by an integral polynomial its derivative, and small values of discriminants. Zbl 1267.11079
Beresnevich, V. V.; Bernik, V. I.; Götze, F.
6
2010
Concentration of empirical distribution functions with applications to non-i.i.d. models. Zbl 1207.62106
Bobkov, S. G.; Götze, F.
4
2010
Rates of approximation in the multidimensional invariance principle for sums of i.i.d. random vectors with finite moments. Zbl 1288.60041
Götze, F.; Zaitsev, A. Yu.
4
2010
On the distribution of the values of the resultants of integral polynomials. Zbl 1267.11026
Beresnevich, V. V.; Bernik, V. I.; Götze, Friedrich
2
2010
On the second-order correlation function of the characteristic polynomial of a Hermitian Wigner matrix. Zbl 1193.15035
Götze, F.; Kösters, H.
12
2009
Bounds for the rate of strong approximation in the multidimensional invariance principle. Zbl 1196.60053
Götze, F.; Zaitsev, A. Yu.
8
2009
Hardy type inequalities via Riccati and Sturm-Liouville equations. Zbl 1173.26319
Bobkov, Sergey; Götze, Friedrich
5
2009
The rate of convergence of spectra of sample covariance matrices. Zbl 1210.60013
Götze, F.; Tikhomirov, A. N.
5
2009
On concentration of high-dimensional matrices with randomly signed entries. Zbl 1288.60004
Bobkov, S. G.; Götze, F.; Tikhomirov, A. N.
1
2009
Limit theorems in free probability theory. I. Zbl 1157.46037
Chistyakov, G. P.; Götze, F.
23
2008
Lower bounds for the number of integral polynomials with given order of discriminants. Zbl 1222.11096
Bernik, Vasili; Götze, Friedrich; Kukso, Olga
13
2008
Limit correlation functions for fixed trace random matrix ensembles. Zbl 1165.82016
Götze, Friedrich; Gordin, Mikhail
7
2008
On the divisibility of the discriminant of an integral polynomial by prime powers. Zbl 1228.11111
Bernik, V.; Götze, F.; Kukso, O.
7
2008
Limit theorems in free probability theory II. Zbl 1148.46035
Chistyakov, Gennadii P.; Götze, Friedrich
5
2008
Concentration inequalities and limit theorems for randomized sums. Zbl 1111.60014
Bobkov, Sergey G.; Götze, Friedrich
17
2007
Limit theorems for spectra of random matrices with martingale structure. Zbl 1118.15022
Götze, F.; Tikhomirov, A. N.
6
2007
Limit correlation functions at zero for fixed trace random matrix ensembles. Zbl 1153.60026
Götze, F.; Gordin, M. I.; Levina, A.
6
2007
Independence of linear forms with random coefficients. Zbl 1105.62052
Chistyakov, G. P.; Götze, F.
3
2007
Bad-approximable points and distribution of discriminants of the product of linear integer polynomials. Zbl 1236.11065
Bernik, V.; Götze, F.; Kukso, O.
3
2007
...and 79 more Documents
all top 5

Cited by 1,307 Authors

98 Götze, Friedrich
35 Bobkov, Sergey Germanovich
24 Chistyakov, Gennadiy P.
23 Bentkus, Vidmants-Kastytis
23 Tikhomirov, Alexander Nikolaevich
19 Shao, Qi-Man
18 Zaitsev, Andrei Yu.
17 Gozlan, Nathael
16 Wu, Liming
14 Jing, Bingyi
14 Lahiri, Soumendra Nath
14 Roberto, Cyril
13 Bernik, Vasiliĭ Ivanovich
13 Erdős, László
12 Forrester, Peter J.
12 Naumov, Alekseĭ Aleksandrovich
12 Peccati, Giovanni
12 Wang, Qiying
12 Zhou, Wang
11 Schnelli, Kevin
10 Adamczak, Radosław
10 Bloznelis, Mindaugas
10 Chafaï, Djalil
10 Račkauskas, Alfredas Yurgevich
9 Bouzebda, Salim
9 Budarina, Natalia Viktorovna
9 Guillin, Arnaud
9 Mason, David M.
9 Politis, Dimitris Nicolas
9 Samson, Paul-Marie
9 Vu, Van H.
8 Bai, Zhi-Dong
8 Bao, Zhigang
8 Bose, Arup
8 Kaliada, Dzianis
8 Ma, Yutao
8 Nourdin, Ivan
8 O’Rourke, Sean D.
8 Pang, Tianxiao
8 Paulauskas, Vygantas Ionovič
8 Tetali, Prasad
8 Ul’yanov, Vladimir Vasil’evich
8 Wang, Feng-Yu
7 Bickel, Peter John
7 Čiginas, Andrius
7 Fathi, Max
7 Gusakova, Anna Grigorevna
7 Houdré, Christian
7 Kösters, Holger
7 Lin, Zhengyan
7 Maesono, Yoshihiko
7 Pan, Guangming
7 Sambale, Holger
7 Tikhomirov, Konstantin E.
7 Yau, Horng-Tzer
7 Zaporozhets, Dmitry
7 Zegarlinski, Boguslaw
6 Aistleitner, Christoph
6 Akemann, Gernot
6 Barthe, Franck
6 Bolley, François
6 Csörgő, Miklós
6 Gaunt, Robert Edward
6 Gentil, Ivan
6 Hall, Peter Gavin
6 Liu, Dangzheng
6 Liu, Weidong
6 Strzelecki, Michał
6 Swan, Yvik C.
6 Tao, Terence
6 Toscani, Giuseppe
6 Zhang, Zhengliang
5 Bertail, Patrice
5 Bordenave, Charles
5 Capitaine, Mireille
5 Eichelsbacher, Peter
5 Fukuyama, Katusi
5 Hipp, Christian
5 Jensen, Jens Ledet
5 Krüger, Torben
5 Lee, Ji Oon
5 Miao, Yu
5 O’Donnell, Hugh
5 Privault, Nicolas
5 Reinert, Gesine D.
5 Röllin, Adrian
5 Rudelson, Mark
5 Sinulis, Arthur
5 Wu, Wei Biao
5 Yin, Jun
4 Basak, Anirban
4 Berkes, István
4 Bhattacharya, Rabi N.
4 Borovskikh, Yuri V.
4 Boufoussi, Brahim
4 Bühlmann, Peter
4 Cattiaux, Patrick
4 Clémençon, Stéphan
4 Dubickas, Artūras
4 Fan, Xiequan
...and 1,207 more Authors
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Cited in 244 Serials

64 Probability Theory and Related Fields
60 The Annals of Probability
48 The Annals of Statistics
45 Bernoulli
40 Journal of Functional Analysis
39 Statistics & Probability Letters
38 Lithuanian Mathematical Journal
37 Journal of Multivariate Analysis
36 Journal of Theoretical Probability
29 Journal of Statistical Planning and Inference
27 Stochastic Processes and their Applications
26 Journal of Mathematical Sciences (New York)
24 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
21 The Annals of Applied Probability
21 Communications in Statistics. Theory and Methods
21 Electronic Journal of Probability
19 Journal of Econometrics
19 Random Matrices: Theory and Applications
17 Communications in Mathematical Physics
17 Journal of Statistical Physics
14 Journal of Mathematical Analysis and Applications
14 Advances in Mathematics
14 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
14 Econometric Theory
13 Journal of Mathematical Physics
13 Test
13 Electronic Journal of Statistics
12 Annals of the Institute of Statistical Mathematics
12 Transactions of the American Mathematical Society
11 Theory of Probability and its Applications
10 Journal of Nonparametric Statistics
9 Proceedings of the American Mathematical Society
9 Statistics
9 Journal of the Korean Statistical Society
8 Acta Applicandae Mathematicae
8 Statistical Science
8 Potential Analysis
8 Mathematical Methods of Statistics
8 Chebyshevskiĭ Sbornik
7 Journal of Applied Probability
7 Siberian Mathematical Journal
7 Acta Mathematica Sinica. English Series
7 Brazilian Journal of Probability and Statistics
7 Statistical Methodology
6 Israel Journal of Mathematics
6 Science in China. Series A
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Electronic Communications in Probability
6 Doklady Mathematics
5 Duke Mathematical Journal
5 Monatshefte für Mathematik
5 Acta Mathematica Hungarica
5 Geometric and Functional Analysis. GAFA
5 Journal of Statistical Computation and Simulation
5 Journal of Inequalities and Applications
5 Annales Henri Poincaré
5 Central European Journal of Mathematics
5 Probability Surveys
4 Advances in Applied Probability
4 Archive for Rational Mechanics and Analysis
4 Biometrics
4 Inventiones Mathematicae
4 Journal of Number Theory
4 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
4 Journal of Time Series Analysis
4 Revista Matemática Iberoamericana
4 Computational Statistics and Data Analysis
4 Applied Mathematics. Series B (English Edition)
4 Statistical Papers
4 Communications in Contemporary Mathematics
4 Trudy Instituta Matematiki
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 International Journal of Number Theory
4 Frontiers of Mathematics in China
4 Journal of Statistical Theory and Practice
4 Science China. Mathematics
3 Computers & Mathematics with Applications
3 Mathematical Notes
3 Metrika
3 Studia Mathematica
3 Mathematics of Computation
3 Acta Mathematica
3 Glasgow Mathematical Journal
3 Ricerche di Matematica
3 Acta Mathematicae Applicatae Sinica. English Series
3 Random Structures & Algorithms
3 Vestnik St. Petersburg University. Mathematics
3 Statistica Sinica
3 Lifetime Data Analysis
3 The Econometrics Journal
3 Journal of the Australian Mathematical Society
3 Journal of Machine Learning Research (JMLR)
3 ALEA. Latin American Journal of Probability and Mathematical Statistics
3 Journal of Physics A: Mathematical and Theoretical
3 Discrete Analysis
2 The Canadian Journal of Statistics
2 Journal d’Analyse Mathématique
2 Nonlinearity
2 Acta Arithmetica
2 Biometrical Journal
...and 144 more Serials
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Cited in 44 Fields

866 Probability theory and stochastic processes (60-XX)
477 Statistics (62-XX)
162 Linear and multilinear algebra; matrix theory (15-XX)
93 Functional analysis (46-XX)
90 Number theory (11-XX)
63 Real functions (26-XX)
59 Statistical mechanics, structure of matter (82-XX)
48 Combinatorics (05-XX)
46 Numerical analysis (65-XX)
41 Partial differential equations (35-XX)
37 Operator theory (47-XX)
29 Dynamical systems and ergodic theory (37-XX)
28 Measure and integration (28-XX)
23 Global analysis, analysis on manifolds (58-XX)
22 Information and communication theory, circuits (94-XX)
19 Harmonic analysis on Euclidean spaces (42-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Special functions (33-XX)
15 Quantum theory (81-XX)
13 Difference and functional equations (39-XX)
12 Convex and discrete geometry (52-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
10 Differential geometry (53-XX)
10 Computer science (68-XX)
9 Biology and other natural sciences (92-XX)
8 Operations research, mathematical programming (90-XX)
7 Functions of a complex variable (30-XX)
7 Ordinary differential equations (34-XX)
7 Approximations and expansions (41-XX)
6 Potential theory (31-XX)
5 History and biography (01-XX)
4 Field theory and polynomials (12-XX)
4 Topological groups, Lie groups (22-XX)
4 Abstract harmonic analysis (43-XX)
4 Mechanics of particles and systems (70-XX)
3 Group theory and generalizations (20-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Integral transforms, operational calculus (44-XX)
3 Fluid mechanics (76-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Algebraic geometry (14-XX)
1 Geometry (51-XX)
1 Geophysics (86-XX)

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