Edit Profile (opens in new tab) Götze, Friedrich Compute Distance To: Compute Author ID: gotze.friedrich-w Published as: Götze, F.; Götze, Friedrich; Goetze, F. more...less 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: 225 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 213 Joint Publications 1,751 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 Bloznelis, Mindaugas 10 van Zwet, Willem Rutger 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 1 Yuan, Ming 1 Zalesskij, Boris Andreevich all top 5 Serials 20 The Annals of Probability 19 Theory of Probability and its Applications 13 Probability Theory and Related Fields 13 Journal of Mathematical Sciences (New York) 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 all top 5 Fields 164 Probability theory and stochastic processes (60-XX) 61 Statistics (62-XX) 46 Number theory (11-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 9 Functional analysis (46-XX) 8 History and biography (01-XX) 7 Real functions (26-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 General and overarching topics; collections (00-XX) 5 Combinatorics (05-XX) 4 Approximations and expansions (41-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Convex and discrete geometry (52-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 188 Publications have been cited 2,118 times in 1,395 Documents Cited by ▼ Year ▼ Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. Zbl 0924.46027Bobkov, S. G.; Götze, F. 219 1999 When is the Student \(t\)-statistic asymptotically standard normal? Zbl 0958.60023Giné, Evarist; Götze, Friedrich; Mason, David M. 109 1997 Resampling fewer than \(n\) observations: gains, losses, and remedies for losses. Zbl 0927.62043Bickel, P. J.; Götze, F.; van Zwet, W. R. 104 1997 On the rate of convergence in the multivariate CLT. Zbl 0729.62051Götze, F. 79 1991 The circular law for random matrices. Zbl 1203.60010Götze, Friedrich; Tikhomirov, Alexander 74 2010 Asymptotic expansions for sums of weakly dependent random vectors. Zbl 0497.60022Goetze, F.; Hipp, C. 64 1983 The Edgeworth expansion for U-statistics of degree two. Zbl 0614.62015Bickel, P. J.; Götze, F.; van Zwet, W. R. 55 1986 Second-order correctness of the blockwise bootstrap for stationary observations. Zbl 0906.62040Götze, F.; Künsch, H. R. 51 1996 The Berry-Esseen bound for Student’s statistic. Zbl 0855.62009Bentkus, V.; Götze, F. 47 1996 Asymptotic expansions for bivariate von Mises functionals. Zbl 0405.60009Götze, F. 43 1979 Rate of convergence to the semi-circular law. Zbl 1031.60019Götze, F.; Tikhomirov, A. 34 2003 Lattice point problems and values of quadratic forms. Zbl 1090.11063Götze, Friedrich 33 2004 An Edgeworth expansion for symmetric statistics. Zbl 0920.62016Bentkus, V.; Götze, F.; van Zwet, W. R. 31 1997 Asymptotic expansions in the central limit theorem under moment conditions. Zbl 0369.60027Götze, F.; Hipp, C. 29 1978 Lattice point problems and distribution of values of quadratic forms. Zbl 0979.11048Bentkus, V.; Götze, F. 25 1999 Limit theorems in free probability theory. I. Zbl 1157.46037Chistyakov, G. P.; Götze, F. 25 2008 The arithmetic of distributions in free probability theory. Zbl 1239.46046Chistyakov, Gennadii P.; Götze, Friedrich 24 2011 The rate of convergence for spectra of GUE and LUE matrix ensembles. Zbl 1108.60014Götze, Friedrich; Tikhomirov, Alexander 24 2005 Asymptotic distribution of singular values of powers of random matrices. Zbl 1208.60021Alexeev, N.; Götze, F.; Tikhomirov, A. 24 2010 Asymptotic distribution of statistics in time series. Zbl 0827.62015Götze, F.; Hipp, C. 23 1994 The distribution of close conjugate algebraic numbers. Zbl 1206.11091Beresnevich, Victor; Bernik, Vasili; Götze, Friedrich 22 2010 Asymptotic distribution of quadratic forms. Zbl 0941.60049Götze, F.; Tikhomirov, A. N. 21 1999 Limit distributions of Studentized means. Zbl 1056.60020Chistyakov, G. P.; Götze, F. 20 2004 Optimal rates of convergence in the CLT for quadratic forms. Zbl 0858.62010Bentkus, V.; Götze, F. 20 1996 Discrete isoperimetric and Poincaré-type inequalities. Zbl 0940.60028Bobkov, S. G.; Götze, F. 20 1999 Rate of convergence in probability to the Marchenko-Pastur law. Zbl 1049.60018Götze, Friedrich; Tikhomirov, Alexander 19 2004 Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics. Zbl 1012.62009Bloznelis, M.; Götze, F. 19 2001 A Berry-Esséen bound for Student’s statistic in the non-i. i. d. case. Zbl 0923.60029Bentkus, V.; Bloznelis, M.; Götze, F. 18 1996 On Edgeworth expansions in Banach spaces. Zbl 0473.60009Goetze, F. 18 1981 Concentration inequalities and limit theorems for randomized sums. Zbl 1111.60014Bobkov, Sergey G.; Götze, Friedrich 17 2007 On Gaussian and Bernoulli covariance representations. Zbl 1053.60019Bobkov, Sergey G.; Götze, Friedrich; Houdré, Christian 16 2001 The rate of convergence for multivariate sampling statistics. Zbl 0798.62023Bolthausen, Erwin; Götze, Friedrich 15 1993 On the local semicircular law for Wigner ensembles. Zbl 1429.60010Götze, Friedrich; Naumov, Alexey; Tikhomirov, Alexander; Timushev, Dmitry 15 2018 Asymptotic distribution of quadratic forms and applications. Zbl 1002.60018Götze, F.; Tikhomirov, A. 15 2002 Higher order concentration for functions of weakly dependent random variables. Zbl 1451.60027Götze, Friedrich; Sambale, Holger; Sinulis, Arthur 14 2019 Lower bounds for the number of integral polynomials with given order of discriminants. Zbl 1222.11096Bernik, Vasili; Götze, Friedrich; Kukso, Olga 14 2008 On the lattice point problem for ellipsoid. Zbl 0871.11069Bentkus, V.; Götze, F. 14 1997 Fisher information and the central limit theorem. Zbl 1372.60018Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich 14 2014 Berry-Esseen bounds in the entropic central limit theorem. Zbl 1307.60011Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich 14 2014 Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem. Zbl 1296.60051Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich 14 2013 On the singular spectrum of powers and products of random matrices. Zbl 1211.60003Alexeev, N. V.; Götze, F.; Tikhomirov, A. N. 13 2010 Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces. Zbl 0888.60021Bentkus, V.; Götze, F. 13 1997 On the second-order correlation function of the characteristic polynomial of a Hermitian Wigner matrix. Zbl 1193.15035Götze, F.; Kösters, H. 12 2009 Integral polynomials with small discriminants and resultants. Zbl 1339.11073Beresnevich, Victor; Bernik, Vasili; Götze, Friedrich 11 2016 Bounds for the rate of strong approximation in the multidimensional invariance principle. Zbl 1196.60053Götze, F.; Zaitsev, A. Yu. 11 2009 On concentration of empirical measures and convergence to the semi-circle law. Zbl 1247.60010Bobkov, S. G.; Götze, F.; Tikhomirov, A. N. 11 2010 Explicit rates of approximation in the CLT for quadratic forms. Zbl 1290.60021Götze, Friedrich; Zaitsev, Andrei Yu. 11 2014 Distribution of complex algebraic numbers. Zbl 1350.11087Götze, Friedrich; Kaliada, Dzianis; Zaporozhets, Dmitry 10 2017 Adaptive choice of bootstrap sample sizes. Zbl 1373.62177Götze, Friedrich; Račkauskas, Alfredas 10 2001 Approximations for multivariate U-statistics. Zbl 0624.62028Götze, F. 10 1987 Lower estimates of the convergence rate for \(U\)-statistics. Zbl 0839.60023Bentkus, Vidmantas; Götze, Friedrich; Zitikis, Ričardas 10 1994 Optimal bounds in non-Gaussian limit theorems for \(U\)-statistics. Zbl 1008.62017Bentkus, V.; Götze, F. 10 1999 Asymptotic expansions in the CLT in free probability. Zbl 1282.46059Chistyakov, G. P.; Götze, F. 10 2013 Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. Zbl 1331.60019Götze, F.; Kösters, H.; Tikhomirov, A. 10 2015 On the rate of convergence in the central limit theorem in Banach spaces. Zbl 0599.60009Götze, F. 9 1986 An Edgeworth expansion for symmetric finite population statistics. Zbl 1010.62017Bloznelis, M.; Götze, F. 9 2002 The accuracy of Gaussian approximation in Banach spaces. Zbl 0960.60008Bentkus, V.; Götze, F.; Paulauskas, V.; Račkauskas, A. 9 2000 An Edgeworth expansion for finite-population \(U\)-statistics. Zbl 0982.62009Bloznelis, Mindaugas; Götze, Friedrich 9 2000 Local semicircle law under moment conditions: the Stieltjes transform, rigidity, and delocalization. Zbl 1426.15056Götze, F.; Naumov, A. A.; Tikhomirov, A. N. 9 2018 Second-order concentration on the sphere. Zbl 1373.60043Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich 8 2017 Optimal bounds for convergence of expected spectral distributions to the semi-circular law. Zbl 1338.60014Götze, F.; Tikhomirov, A. 8 2016 Edgeworth expansions in functional limit theorems. Zbl 0689.60038Götze, F. 8 1989 Estimates for the concentration functions in the Littlewood-Offord problem. Zbl 1332.15093Eliseeva, Yu. S.; Götze, F.; Zaitsev, A. Yu. 8 2015 Accuracy of Gaussian approximation in Banach spaces. Zbl 0797.60010Bentkus, V.; Götze, F.; Paulauskas, V.; Račkauskas, A. 8 1991 The asymptotic number of integral cubic polynomials with bounded heights and discriminants. Zbl 1322.11078Kaliada, Dzianis; Götze, Friedrich; Kukso, Olga 8 2014 On minimal singular values of random matrices with correlated entries. Zbl 1348.15023Götze, F.; Naumov, A.; Tikhomirov, A. 8 2015 Distribution of real algebraic numbers of arbitrary degree in short intervals. Zbl 1334.11058Bernik, V. I.; Götze, F. 8 2015 Local universality of repulsive particle systems and random matrices. Zbl 1301.60009Götze, Friedrich; Venker, Martin 8 2014 On the divisibility of the discriminant of an integral polynomial by prime powers. Zbl 1228.11111Bernik, V.; Götze, F.; Kukso, O. 7 2008 Limit theorems for spectra of random matrices with martingale structure. Zbl 1118.15022Götze, F.; Tikhomirov, A. N. 7 2007 Limit correlation functions for fixed trace random matrix ensembles. Zbl 1165.82016Götze, Friedrich; Gordin, Mikhail 7 2008 Estimates for the rapid decay of concentration functions of \(n\)-fold convolutions. Zbl 0936.60014Götze, F.; Zaitsev, A. Yu. 7 1998 Non-uniform bounds in local limit theorems in case of fractional moments. I. Zbl 1239.60016Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 7 2011 The rate of convergence of spectra of sample covariance matrices. Zbl 1210.60013Götze, F.; Tikhomirov, A. N. 7 2009 Entropic instability of Cramer’s characterization of the normal law. Zbl 1371.60005Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 6 2012 A simple analysis of third-order efficiency of estimates. Zbl 1373.62093Bickel, Peter J.; Götze, Friedrich; van Zwet, W. R. 6 1985 Limit theorems for spectra of positive random matrices under dependence. Zbl 1075.60017Götze, F.; Tikhomirov, A. 6 2004 Local semicircle law under fourth moment condition. Zbl 1444.60013Götze, F.; Naumov, A.; Tikhomirov, A. 6 2020 Asymptotic expansions for potential functions of I.I.D. random fields. Zbl 0659.60035Götze, F.; Hipp, C. 6 1989 Limit correlation functions at zero for fixed trace random matrix ensembles. Zbl 1153.60026Götze, F.; Gordin, M. I.; Levina, A. 6 2007 Arak’s inequalities for concentration functions and the Littlewood-Offord problem. Zbl 1360.60041Götze, F.; Eliseeva, Yu. S.; Zaitsev, A. Yu. 6 2016 Local laws for non-Hermitian random matrices. Zbl 1392.60012Götze, F.; Naumov, A. A.; Tikhomirov, A. N. 6 2017 Bounds for the accuracy of Poissonian approximations of stable laws. Zbl 0885.62014Bentkus, V.; Götze, F.; Paulauskas, V. 6 1996 Limit theorems for two classes of random matrices with dependent entries. Zbl 1314.60026Götze, F.; Naumov, A. A.; Tikhomirov, A. N. 6 2015 Simultaneous approximations of zero by an integral polynomial its derivative, and small values of discriminants. Zbl 1267.11079Beresnevich, V. V.; Bernik, V. I.; Götze, F. 6 2010 On points with algebraically conjugate coordinates close to smooth curves. Zbl 1375.11058Bernik, Vasilii; Götze, Friedrich; Gusakova, A. 5 2016 On a generalization of the elliptic law for random matrices. Zbl 1371.60019Götze, F.; Naumov, A.; Tikhomirov, A. 5 2015 Resampling fewer than \(n\) observations: gains, losses, and remedies for losses. Zbl 1373.62173Bickel, P. J.; Götze, F.; van Zwet, W. R. 5 2012 Limit theorems in free probability theory II. Zbl 1148.46035Chistyakov, Gennadii P.; Götze, Friedrich 5 2008 Correlation functions of real zeros of random polynomials. Zbl 1386.60188Götze, F.; Kaliada, D.; Zaporozhets, D. 5 2018 Rényi divergence and the central limit theorem. Zbl 1466.60065Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 5 2019 Bounds for characteristic functions in terms of quantiles and entropy. Zbl 1258.60022Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich 5 2012 Higher order concentration of measure. Zbl 1447.60049Bobkov, Sergey G.; Götze, Friedrich; Sambale, Holger 5 2019 Asymptotic expansions in functional limit theorems. Zbl 0557.60027Götze, F. 5 1985 Hardy type inequalities via Riccati and Sturm-Liouville equations. Zbl 1173.26319Bobkov, Sergey; Götze, Friedrich 5 2009 Distance between conjugate algebraic numbers in clusters. Zbl 1284.11051Budarina, N. V.; Goetze, F. 5 2013 Fisher information and convergence to stable laws. Zbl 1315.60031Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 5 2014 Berry-Esseen bounds for statistics of weakly dependent samples. Zbl 1066.62505Bentkus, V.; Götze, F.; Tikhomirov, A. 5 1997 Approximation of quadratic forms of independent random vectors by accompanying laws. Zbl 0913.60034Bentkus, V.; Götze, F.; Zaitsev, A. Yu. 5 1997 Distribution of algebraic numbers and metric theory of Diophantine approximation. Zbl 1316.11063Bernik, V.; Beresnevich, V.; Götze, F.; Kukso, O. 5 2013 On small values of indefinite diagonal quadratic forms at integer points in at least five variables. Zbl 1492.11078Buterus, Paul; Götze, Friedrich; Hille, Thomas 2 2022 Distribution of values of quadratic forms at integral points. Zbl 1487.11091Buterus, P.; Götze, F.; Hille, T.; Margulis, G. 2 2022 On alternative approximating distributions in the multivariate version of Kolmogorov’s second uniform limit theorem. Zbl 1492.60056Götze, F.; Zaitsev, A. Yu. 1 2022 Concentration inequalities for polynomials in \(\alpha\)-sub-exponential random variables. Zbl 1475.60045Götze, Friedrich; Sambale, Holger; Sinulis, Arthur 4 2021 Concentration inequalities for bounded functionals via log-Sobolev-type inequalities. Zbl 1472.60036Götze, Friedrich; Sambale, Holger; Sinulis, Arthur 3 2021 An improved multivariate version of Kolmogorov’s second uniform limit theorem. Zbl 1477.60033Götze, F.; Zaitsev, A. Yu.; Zaporozhets, D. 2 2021 Rate of convergence to the Circular Law via smoothing inequalities for log-potentials. Zbl 1479.60004Götze, Friedrich; Jalowy, Jonas 2 2021 Willem van Zwet’s research. Zbl 1479.01011Bickel, Peter; Fiocco, Marta; De Gunst, Mathisca; Götze, Friedrich 2 2021 Local semicircle law under fourth moment condition. Zbl 1444.60013Götze, F.; Naumov, A.; Tikhomirov, A. 6 2020 Local laws for non-Hermitian random matrices and their products. Zbl 1472.60009Götze, Friedrich; Naumov, Alexey; Tikhomirov, Alexander 3 2020 Joint distribution of conjugate algebraic numbers: a random polynomial approach. Zbl 1443.11199Götze, Friedrich; Koleda, Denis; Zaporozhets, Dmitry 2 2020 Rare events and Poisson point processes. Zbl 1459.60108Götze, F.; Zaitsev, A. Yu. 2 2020 Half-spaces with influential variable. Zbl 1434.68196Dzindzalieta, D.; Götze, F. 2 2020 Estimates for closeness of convolutions of probability distributions on convex polyhedra. Zbl 1471.60029Götze, F.; Zaitsev, A. Yu. 2 2020 Normal approximation for weighted sums under a second-order correlation condition. Zbl 1476.60008Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 1 2020 On the distribution of Salem numbers. Zbl 1454.11194Götze, Friedrich; Gusakova, Anna 1 2020 Second order concentration via logarithmic Sobolev inequalities. Zbl 1448.60049Götze, Friedrich; Sambale, Holger 1 2020 Moment inequalities for linear and nonlinear statistics. Zbl 1437.62172Götze, F.; Naumov, A. A.; Tikhomirov, A. N. 1 2020 Higher order concentration for functions of weakly dependent random variables. Zbl 1451.60027Götze, Friedrich; Sambale, Holger; Sinulis, Arthur 14 2019 Rényi divergence and the central limit theorem. Zbl 1466.60065Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 5 2019 Higher order concentration of measure. Zbl 1447.60049Bobkov, Sergey G.; Götze, Friedrich; Sambale, Holger 5 2019 Large ball probabilities, Gaussian comparison and anti-concentration. Zbl 1428.62187Götze, Friedrich; Naumov, Alexey; Spokoiny, Vladimir; Ulyanov, Vladimir 4 2019 Gaussian mixtures and normal approximation for V. N. Sudakov’s typical distributions. Zbl 1478.60072Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 2 2019 Higher order concentration in presence of Poincaré-type inequalities. Zbl 1443.60024Götze, Friedrich; Sambale, Holger 1 2019 Random affine simplexes. Zbl 1447.60033Götze, Friedrich; Gusakova, Anna; Zaporozhets, Dmitry 1 2019 On optimal bounds in the local semicircle law under four moment condition. Zbl 1422.60027Götze, F.; Naumov, A. A.; Tikhomirov, A. N. 1 2019 Non-uniform bounds in the Poisson approximation with applications to informational distances. I. Zbl 1432.62034Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 1 2019 On the local semicircular law for Wigner ensembles. Zbl 1429.60010Götze, Friedrich; Naumov, Alexey; Tikhomirov, Alexander; Timushev, Dmitry 15 2018 Local semicircle law under moment conditions: the Stieltjes transform, rigidity, and delocalization. Zbl 1426.15056Götze, F.; Naumov, A. A.; Tikhomirov, A. N. 9 2018 Correlation functions of real zeros of random polynomials. Zbl 1386.60188Götze, F.; Kaliada, D.; Zaporozhets, D. 5 2018 Berry-Esseen bounds for typical weighted sums. Zbl 1414.60012Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 4 2018 New applications of Arak’s inequalities to the Littlewood-Offord problem. Zbl 1392.60041Götze, Friedrich; Zaitsev, Andrei Yu. 3 2018 Distribution of complex algebraic numbers. Zbl 1350.11087Götze, Friedrich; Kaliada, Dzianis; Zaporozhets, Dmitry 10 2017 Second-order concentration on the sphere. Zbl 1373.60043Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich 8 2017 Local laws for non-Hermitian random matrices. Zbl 1392.60012Götze, F.; Naumov, A. A.; Tikhomirov, A. N. 6 2017 Distribution of linear statistics of singular values of the product of random matrices. Zbl 1390.60031Götze, Friedrich; Naumov, Alexey; Tikhomirov, Alexander 4 2017 Exact upper bounds for the number of the polynomials with given discriminants. Zbl 1435.11097Bernik, Vasili; Budarina, Natalia; Götze, Friedrich 3 2017 Asymptotic analysis of symmetric functions. Zbl 1395.60028Götze, F.; Naumov, A.; Ulyanov, V. 3 2017 On algebraic integers in short intervals and near smooth curves. Zbl 1391.11082Götze, Friedrich; Gusakova, Anna 2 2017 Integral polynomials with small discriminants and resultants. Zbl 1339.11073Beresnevich, Victor; Bernik, Vasili; Götze, Friedrich 11 2016 Optimal bounds for convergence of expected spectral distributions to the semi-circular law. Zbl 1338.60014Götze, F.; Tikhomirov, A. 8 2016 Arak’s inequalities for concentration functions and the Littlewood-Offord problem. Zbl 1360.60041Götze, F.; Eliseeva, Yu. S.; Zaitsev, A. Yu. 6 2016 On points with algebraically conjugate coordinates close to smooth curves. Zbl 1375.11058Bernik, Vasilii; Götze, Friedrich; Gusakova, A. 5 2016 Discriminant and root separation of integral polynomials. Zbl 1354.60058Götze, F.; Zaporozhets, D. 3 2016 Regularized distributions and entropic stability of Cramer’s characterization of the normal law. Zbl 1387.60020Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 1 2016 Asymptotic spectra of matrix-valued functions of independent random matrices and free probability. Zbl 1331.60019Götze, F.; Kösters, H.; Tikhomirov, A. 10 2015 Estimates for the concentration functions in the Littlewood-Offord problem. Zbl 1332.15093Eliseeva, Yu. S.; Götze, F.; Zaitsev, A. Yu. 8 2015 On minimal singular values of random matrices with correlated entries. Zbl 1348.15023Götze, F.; Naumov, A.; Tikhomirov, A. 8 2015 Distribution of real algebraic numbers of arbitrary degree in short intervals. Zbl 1334.11058Bernik, V. I.; Götze, F. 8 2015 Limit theorems for two classes of random matrices with dependent entries. Zbl 1314.60026Götze, F.; Naumov, A. A.; Tikhomirov, A. N. 6 2015 On a generalization of the elliptic law for random matrices. Zbl 1371.60019Götze, F.; Naumov, A.; Tikhomirov, A. 5 2015 Algebraic numbers in short intervals. Zbl 1372.11073Götze, Friedrich; Gusakova, Anna Grigorevna 1 2015 Correlations between real conjugate algebraic numbers. Zbl 1437.11092Götze, F.; Kaliada, D.; Zaporozhets, D. N. 1 2015 A new connection between metric theory of Diophantine approximations and distribution of algebraic numbers. Zbl 1362.11069Bernik, V.; Götze, F. 1 2015 On regular systems of algebraic \(p\)-adic numbers of arbitrary degree in small cylinders. Zbl 1388.11038Budarina, N. V.; Götze, F. 1 2015 Fisher information and the central limit theorem. Zbl 1372.60018Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich 14 2014 Berry-Esseen bounds in the entropic central limit theorem. Zbl 1307.60011Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich 14 2014 Explicit rates of approximation in the CLT for quadratic forms. Zbl 1290.60021Götze, Friedrich; Zaitsev, Andrei Yu. 11 2014 The asymptotic number of integral cubic polynomials with bounded heights and discriminants. Zbl 1322.11078Kaliada, Dzianis; Götze, Friedrich; Kukso, Olga 8 2014 Local universality of repulsive particle systems and random matrices. Zbl 1301.60009Götze, Friedrich; Venker, Martin 8 2014 Fisher information and convergence to stable laws. Zbl 1315.60031Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 5 2014 On algebraic points in the plane near smooth curves. Zbl 1297.11078Bernik, Vasilii; Götze, Friedrich; Kukso, Olga 3 2014 Radial spacing distributions from planar point sets. Zbl 1341.52039Baake, M.; Götze, F.; Huck, C.; Jakobi, T. 2 2014 Preferred attachment in affiliation networks. Zbl 1304.91167Bloznelis, Mindaugas; Götze, Friedrich 2 2014 Rate of convergence and Edgeworth-type expansion in the entropic central limit theorem. Zbl 1296.60051Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich 14 2013 Asymptotic expansions in the CLT in free probability. Zbl 1282.46059Chistyakov, G. P.; Götze, F. 10 2013 Distance between conjugate algebraic numbers in clusters. Zbl 1284.11051Budarina, N. V.; Goetze, F. 5 2013 Distribution of algebraic numbers and metric theory of Diophantine approximation. Zbl 1316.11063Bernik, V.; Beresnevich, V.; Götze, F.; Kukso, O. 5 2013 Stability problems in Cramér-type characterization in case of i.i.d. summands. Zbl 1303.60015Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 3 2013 Convergence to stable laws in relative entropy. Zbl 1288.60055Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 3 2013 On the rate of convergence to the semi-circular law. Zbl 1274.60020Götze, Friedrich; Tikhomirov, Alexandre 3 2013 Free infinitely divisible approximations of \(n\)-fold free convolutions. Zbl 1277.46032Chistyakov, Gennadii; Götze, Friedrich 2 2013 Entropic instability of Cramer’s characterization of the normal law. Zbl 1371.60005Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 6 2012 Resampling fewer than \(n\) observations: gains, losses, and remedies for losses. Zbl 1373.62173Bickel, P. J.; Götze, F.; van Zwet, W. R. 5 2012 Bounds for characteristic functions in terms of quantiles and entropy. Zbl 1258.60022Bobkov, Sergey G.; Chistyakov, Gennadiy P.; Götze, Friedrich 5 2012 Birth of a strongly connected giant in an inhomogeneous random digraph. Zbl 1252.05196Bloznelis, Mindaugas; Götze, Friedrich; Jaworski, Jerzy 4 2012 On the distribution of complex roots of random polynomials with heavy-tailed coefficients. Zbl 1266.60095Götze, F.; Zaporozhets, D. 2 2012 Regular systems of real algebraic numbers of third degree in small intervals. Zbl 1345.11047Bernik, Vasilii; Götze, Friedrich; Kukso, Olga 1 2012 The arithmetic of distributions in free probability theory. Zbl 1239.46046Chistyakov, Gennadii P.; Götze, Friedrich 24 2011 Non-uniform bounds in local limit theorems in case of fractional moments. I. Zbl 1239.60016Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 7 2011 Non-uniform bounds in local limit theorems in case of fractional moments. II. Zbl 1307.60010Bobkov, S. G.; Chistyakov, G. P.; Götze, F. 4 2011 Estimates for the rate of strong approximation in Hilbert space. Zbl 1235.60028Götze, F.; Zaitsev, A. Yu. 4 2011 Uniform rates of approximation by short asymptotic expansions in the CLT for quadratic forms. Zbl 1290.60020Götze, F.; Zaitsev, A. Yu. 2 2011 Freeness of linear and quadratic forms in von Neumann algebras. Zbl 1373.46061Chistyakov, G. P.; Götze, F.; Lehner, F. 2 2011 The circular law for random matrices. Zbl 1203.60010Götze, Friedrich; Tikhomirov, Alexander 74 2010 Asymptotic distribution of singular values of powers of random matrices. Zbl 1208.60021Alexeev, N.; Götze, F.; Tikhomirov, A. 24 2010 The distribution of close conjugate algebraic numbers. Zbl 1206.11091Beresnevich, Victor; Bernik, Vasili; Götze, Friedrich 22 2010 On the singular spectrum of powers and products of random matrices. Zbl 1211.60003Alexeev, N. V.; Götze, F.; Tikhomirov, A. N. 13 2010 On concentration of empirical measures and convergence to the semi-circle law. Zbl 1247.60010Bobkov, 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 1267.11079Beresnevich, V. V.; Bernik, V. I.; Götze, F. 6 2010 Rates of approximation in the multidimensional invariance principle for sums of i.i.d. random vectors with finite moments. Zbl 1288.60041Götze, F.; Zaitsev, A. Yu. 4 2010 Concentration of empirical distribution functions with applications to non-i.i.d. models. Zbl 1207.62106Bobkov, S. G.; Götze, F. 4 2010 On the distribution of the values of the resultants of integral polynomials. Zbl 1267.11026Beresnevich, 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 1193.15035Götze, F.; Kösters, H. 12 2009 Bounds for the rate of strong approximation in the multidimensional invariance principle. Zbl 1196.60053Götze, F.; Zaitsev, A. Yu. 11 2009 The rate of convergence of spectra of sample covariance matrices. Zbl 1210.60013Götze, F.; Tikhomirov, A. N. 7 2009 Hardy type inequalities via Riccati and Sturm-Liouville equations. Zbl 1173.26319Bobkov, Sergey; Götze, Friedrich 5 2009 On concentration of high-dimensional matrices with randomly signed entries. Zbl 1288.60004Bobkov, S. G.; Götze, F.; Tikhomirov, A. N. 1 2009 Limit theorems in free probability theory. I. Zbl 1157.46037Chistyakov, G. P.; Götze, F. 25 2008 Lower bounds for the number of integral polynomials with given order of discriminants. Zbl 1222.11096Bernik, Vasili; Götze, Friedrich; Kukso, Olga 14 2008 ...and 88 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,434 Authors 100 Götze, Friedrich 36 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 15 Erdős, László 14 Jing, Bingyi 14 Lahiri, Soumendra Nath 14 Peccati, Giovanni 14 Roberto, Cyril 13 Bernik, Vasiliĭ Ivanovich 12 Bloznelis, Mindaugas 12 Forrester, Peter J. 12 Naumov, Alekseĭ Aleksandrovich 12 Wang, Qiying 12 Zhou, Wang 11 Bouzebda, Salim 11 Schnelli, Kevin 10 Adamczak, Radosław 10 Chafaï, Djalil 10 Nourdin, Ivan 10 Račkauskas, Alfredas Yurgevich 9 Budarina, Natalia Viktorovna 9 Guillin, Arnaud 9 Mason, David M. 9 O’Rourke, Sean D. 9 Politis, Dimitris Nicolas 9 Samson, Paul-Marie 9 Vũ Hà Văn 8 Bai, Zhi-Dong 8 Bao, Zhigang 8 Bickel, Peter John 8 Bose, Arup 8 Gaunt, Robert Edward 8 Kaliada, Dzianis 8 Ma, Yutao 8 Pang, Tianxiao 8 Paulauskas, Vygantas Ionovič 8 Sambale, Holger 8 Tetali, Prasad 8 Ul’yanov, Vladimir Vasil’evich 8 Wang, Feng-Yu 7 Čiginas, Andrius 7 Fathi, Max 7 Gusakova, Anna Grigorevna 7 Houdré, Christian 7 Kösters, Holger 7 Lin, Zhengyan 7 Liu, Dangzheng 7 Maesono, Yoshihiko 7 Pan, Guangming 7 Privault, Nicolas 7 Swan, Yvik C. 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 Gentil, Ivan 6 Hall, Peter Gavin 6 Liu, Weidong 6 Reinert, Gesine D. 6 Sinulis, Arthur 6 Strzelecki, Michał 6 Tao, Terence 6 Toscani, Giuseppe 6 Zhang, Yong 6 Zhang, Zhengliang 5 Bertail, Patrice 5 Bordenave, Charles 5 Bühlmann, Peter 5 Capitaine, Mireille 5 Eichelsbacher, Peter 5 Fukuyama, Katusi 5 Gribkova, Nadezhda Viktorovna 5 Hipp, Christian 5 Jensen, Jens Ledet 5 Krüger, Torben 5 Lee, Ji Oon 5 Martsynyuk, Yuliya V. 5 Miao, Yu 5 Nasari, Masoud M. 5 Nayar, Piotr 5 O’Donnell, Hugh 5 Röllin, Adrian 5 Rudelson, Mark 5 Tkocz, Tomasz 5 Wang, Jiun-Chau 5 Wu, Qunying 5 Yin, Jun 5 Yoshida, Nakahiro 5 Zitikis, Ričardas ...and 1,334 more Authors all top 5 Cited in 262 Serials 69 Probability Theory and Related Fields 61 The Annals of Probability 53 The Annals of Statistics 48 Bernoulli 42 Statistics & Probability Letters 42 Journal of Theoretical Probability 40 Journal of Functional Analysis 38 Lithuanian Mathematical Journal 38 Journal of Multivariate Analysis 30 Stochastic Processes and their Applications 29 Journal of Statistical Planning and Inference 27 Annales de l’Institut Henri Poincaré. 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Series B (English Edition) 4 Communications in Contemporary Mathematics 4 Trudy Instituta Matematiki 4 Journal of Machine Learning Research (JMLR) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Number Theory 4 ALEA. Latin American Journal of Probability and Mathematical Statistics 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 Arithmetica 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 St. Petersburg Mathematical Journal 3 Statistica Sinica 3 Lifetime Data Analysis 3 Discrete and Continuous Dynamical Systems 3 Infinite Dimensional Analysis, Quantum Probability and Related Topics 3 The Econometrics Journal 3 Methodology and Computing in Applied Probability 3 Journal of the Australian Mathematical Society 3 Journal of Physics A: Mathematical and Theoretical 3 Discrete Analysis ...and 162 more Serials all top 5 Cited in 47 Fields 927 Probability theory and stochastic processes (60-XX) 511 Statistics (62-XX) 171 Linear and multilinear algebra; matrix theory (15-XX) 99 Functional analysis (46-XX) 95 Number theory (11-XX) 66 Statistical mechanics, structure of matter (82-XX) 64 Real functions (26-XX) 53 Combinatorics (05-XX) 49 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 40 Operator theory (47-XX) 31 Dynamical systems and ergodic theory (37-XX) 30 Measure and integration (28-XX) 26 Information and communication theory, circuits (94-XX) 24 Global analysis, analysis on manifolds (58-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 17 Quantum theory (81-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Special functions (33-XX) 13 Difference and functional equations (39-XX) 13 Convex and discrete geometry (52-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Computer science (68-XX) 10 Differential geometry (53-XX) 10 Operations research, mathematical programming (90-XX) 9 Functions of a complex variable (30-XX) 9 Biology and other natural sciences (92-XX) 8 Ordinary differential equations (34-XX) 7 Approximations and expansions (41-XX) 6 History and biography (01-XX) 6 Topological groups, Lie groups (22-XX) 6 Potential theory (31-XX) 5 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 4 Abstract harmonic analysis (43-XX) 4 Mechanics of particles and systems (70-XX) 4 Fluid mechanics (76-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral transforms, operational calculus (44-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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