Friedrich Götze
#49,332
Most Influential Person Now
German mathematician
Friedrich Götze's AcademicInfluence.com Rankings
Friedrich Götzemathematics Degrees
Mathematics
#2442
World Rank
#3772
Historical Rank
Probability Theory
#52
World Rank
#73
Historical Rank
Statistics
#483
World Rank
#558
Historical Rank
Measure Theory
#2702
World Rank
#3228
Historical Rank
Download Badge
Mathematics
Why Is Friedrich Götze Influential?
(Suggest an Edit or Addition)According to Wikipedia, Friedrich Götze is a German mathematician, specializing in probability theory, mathematical statistics, and number theory. Education and career Götze studied mathematics and physics at the University of Göttingen and the University of Bonn by means of a scholarship from the Studienstiftung des deutschen Volkes. In 1978 he received his doctorate from the University of Cologne with thesis Asymptotic Expansions in the Central Limit Theorem in Banach Spaces under the supervision of Johann Pfanzagl. At the University of Cologne, Götze was an assistant, interrupted by a year as visiting professor at the University of California, Berkeley. In 1983 he habilitated in Cologne with thesis Asymptotic developments in central limit theorems. In 1984 he became a professor of mathematics at Bielefeld University. For the academic years 1990/91 and 2002/2003 he was Dean of the Faculty of Mathematics.
Friedrich Götze's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities (1999) (583)
- RESAMPLING FEWER THAN n OBSERVATIONS: GAINS, LOSSES, AND REMEDIES FOR LOSSES (2012) (298)
- On the Rate of Convergence in the Multivariate CLT (1991) (294)
- When is the Student $t$-statistic asymptotically standard normal? (1997) (236)
- Asymptotic expansions for sums of weakly dependent random vectors (1983) (195)
- The Edgeworth Expansion for $U$-Statistics of Degree Two (1986) (124)
- Differential-geometrical methods in statistics. Lecture notes in statistics - A. Shun-ichi. (1987) (120)
- Rate of convergence in probability to the Marchenko-Pastur law (2004) (100)
- An Edgeworth expansion for symmetric statistics (1997) (97)
- Second-order correctness of the blockwise bootstrap for stationary observations (1996) (91)
- Asymptotic expansions for bivariate von Mises functionals (1979) (90)
- The Berry-Esseen bound for student's statistic (1996) (89)
- Lattice point problems and values of quadratic forms (2004) (85)
- Discrete isoperimetric and Poincaré-type inequalities (1999) (73)
- The rate of convergence for spectra of GUE and LUE matrix ensembles (2005) (73)
- Asymptotic Distribution of Statistics in Time Series (1994) (68)
- The arithmetic of distributions in free probability theory (2005) (67)
- On the lattice point problem for ellipsoids (1997) (65)
- Asymptotic Distribution of Quadratic Forms (1999) (62)
- Asymptotic distribution of singular values of powers of random matrices (2010) (61)
- Limit Theorems for Spectra of Random Matrices with Martingale Structure (2007) (57)
- Asymptotic expansions in the central limit theorem under moment conditions (1978) (57)
- A Berry-Esséen bound for student's statistic in the non-I.I.D. case (1996) (55)
- Rate of convergence to the semi-circular law (2003) (54)
- The Rate of Convergence for Multivariate Sampling Statistics (1993) (53)
- Optimal rates of convergence in the CLT for quadratic forms (1996) (50)
- On Gaussian and Bernoulli covariance representations (2001) (49)
- Asymptotic Distribution of Quadratic Forms and Applications (2002) (46)
- The Accuracy of Gaussian Approximation in Banach Spaces (2000) (45)
- Limit distributions of Studentized means (2004) (44)
- Adaptive choice of bootstrap sample sizes (2001) (42)
- Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics (2001) (42)
- Fisher information and the central limit theorem (2012) (39)
- Berry–Esseen bounds in the entropic central limit theorem (2011) (39)
- Uniform rates of convergence in the CLT for quadratic forms in multidimensional spaces (1997) (35)
- Optimal Bounds in Non-Gaussian Limit Theorems for U-Statistics (1999) (34)
- Concentration inequalities for polynomials in α-sub-exponential random variables (2021) (33)
- On Concentration of Empirical Measures and Convergence to the Semi-circle Law (2010) (31)
- Lower Estimates of the Convergence Rate for $U$-Statistics (1994) (28)
- On Edgeworth Expansions in Banach Spaces (1981) (28)
- Concentration inequalities and limit theorems for randomized sums (2006) (28)
- Bounds for the Rate of Strong Approximation in the Multidimensional Invariance Principle@@@Bounds for the Rate of Strong Approximation in the Multidimensional Invariance Principle (2008) (26)
- Approximations for multivariate U —statistics (1987) (26)
- Expansions for von Mises functionals (1984) (24)
- Edgeworth Expansions in Functional Limit Theorems (1989) (24)
- Asymptotic expansions in functional limit theorems (1985) (24)
- On the Rate of Convergence in the Central Limit Theorem in Banach Spaces (1986) (24)
- An Edgeworth expansion for finite-population U-statistics (2000) (22)
- Berry-Esseen bounds for statistics of weakly dependent samples (1997) (22)
- On the singular spectrum of powers and products of random matrices (2010) (22)
- Asymptotic expansions in the CLT in free probability (2011) (22)
- Limit Theorems for Two Classes of Random Matrices with Dependent Entries (2015) (22)
- An Edgeworth expansion for symmetric finite population statistics (2002) (21)
- Lower bounds for the number of integral polynomials with given order of discriminants (2008) (21)
- Moderate deviations for student's statistic (2003) (21)
- Birth of a Strongly Connected Giant in an Inhomogeneous Random Digraph (2009) (19)
- Asymptotic expansions for potential functions of i.i.d. random fields (1989) (19)
- Optimal bounds for convergence of expected spectral distributions to the semi-circular law (2014) (19)
- Estimates for the Concentration Functions in the Littlewood–Offord Problem (2012) (18)
- Rate of convergence to the semicircular law for the Gaussian unitary ensemble (2003) (18)
- Correlation Functions of Real Zeros of Random Polynomials (2015) (18)
- On the divisibility of the discriminant of an integral polynomial by prime powers (2008) (18)
- Limit Correlation Functions for Fixed Trace Random Matrix Ensembles (2006) (17)
- Bounds for the accuracy of Poissonian approximations of stable laws (1996) (17)
- Non-uniform bounds in local limit theorems in case of fractional moments. I (2011) (17)
- The asymptotic number of integral cubic polynomials with bounded heights and discriminants (2013) (16)
- Arak’s inequalities for concentration functions and the Littlewood–Offord problem (2015) (15)
- Distribution of the shape of Markovian random words (2004) (15)
- Asymptotic expansions in the integral and local limit theorems in banach spaces with applications to ω-statistics (1993) (14)
- Estimates for the Rapid Decay of Concentration Functions of n-Fold Convolutions (1998) (13)
- Hardy Type Inequalities via Riccati and Sturm–Liouville Equations (2009) (13)
- Chapter 15 Entropic instability of Cramer’s characterization of the normal law (2012) (13)
- Rates of approximation in the multidimensional invariance principle for sums of i.i.d. random vectors with finite moments (2010) (12)
- Limit theorems in free probability theory II (2008) (12)
- Local Limit Theorems for Sums of Finite Range Potentials of a Gibbsian Random Field (1990) (11)
- Asymptotic Expansions in Non-central Limit Theorems for Quadratic Forms (2005) (11)
- Discriminant and Root Separation of Integral Polynomials (2014) (11)
- Time-scales for Gaussian approximation and its breakdown under a hierarchy of periodic spatial heterogeneities (1995) (11)
- m-dependent random fields with analytic cumulant generating function (1995) (11)
- Local Semicircle Law Under Fourth Moment Condition (2019) (11)
- Local laws for non-Hermitian random matrices and their products (2017) (10)
- Local laws for non-Hermitian random matrices (2017) (10)
- Stability Problems in Cramér-Type Characterization in case of I.I.D. Summands (2013) (10)
- A Berry–Esséen Bound for M‐estimators (1997) (10)
- One-Term Edgeworth Expansion for Finite Population U-Statistics of Degree Two (1999) (10)
- Bounds for characteristic functions in terms of quantiles and entropy (2012) (10)
- On algebraic points in the plane near smooth curves∗ (2014) (9)
- Radial spacing distributions from planar point sets. (2014) (9)
- Convergence to Stable Laws in Relative Entropy (2011) (9)
- Asymptotic expansion in the central limit theorem for quadratic forms (2007) (9)
- On the Second-Order Correlation Function of the Characteristic Polynomial of a Hermitian Wigner Matrix (2009) (8)
- Asymptotic Analysis of Symmetric Functions (2015) (8)
- Bounds for characteristic functions of polynomials in asymptotically normal random variables (1996) (8)
- Rate of convergence to the semi-circle law for the Deformed Gaussian Unitary Ensemble (2007) (7)
- Concentration Inequalities for Bounded Functionals via Log-Sobolev-Type Inequalities (2018) (7)
- Estimates for the rate of strong approximation in Hilbert space (2011) (7)
- Local Semicircle Law under Moment Conditions: The Stieltjes Transform, Rigidity, and Delocalization (2018) (7)
- Limit theorems for spectra of random matrices with martingale structure@@@Limit theorems for spectra of random matrices with martingale structure (2006) (6)
- On Standard Normal Convergence of the Multivariate Student $t$-Statistic for Symmetric Random Vectors (2004) (6)
- New applications of Arak’s inequalities to the Littlewood–Offord problem (2016) (6)
- Distribution of Algebraic Numbers and Metric Theory of Diophantine Approximation (2013) (6)
- Approximation of Quadratic Forms of Independent Random Vectors by Accompanying Laws (1998) (6)
- On smoothness conditions and convergence rates in the CLT in Banach spaces (1993) (5)
- On Minimal Moment Assumptions in Berry–Esséen Theorems for U-Statistics (1996) (5)
- On Smooth Behavior of Probability Distributions Under Polynomial Mappings (1998) (5)
- Random affine simplexes (2017) (5)
- On the Central Limit Theorem along Subsequences of Noncorrelated Observations (2004) (5)
- Gaussian comparison and anti-concentration inequalities for norms of Gaussian random elements (2017) (5)
- Non-uniform bounds for short asymptotic expansions in the CLT for balls in a Hilbert space (2006) (5)
- Independence of linear forms with random coefficients (2006) (5)
- Limit correlation functions at zero for fixed trace random matrix ensembles (2007) (4)
- On The Domain Of Attraction To The Normal Law And Convergence Of Selfnormalized Sums (1995) (4)
- Rare Events and Poisson Point Processes (2018) (4)
- Non-uniform bounds in local limit theorems in case of fractional moments. II (2011) (4)
- Lattice points in multidimensional bodies (2001) (4)
- Rate of convergence to the semi-circular law for the Gaussian unitary ensemble@@@Rate of convergence to the semi-circular law for the Gaussian unitary ensemble (2002) (4)
- On Moments of Polynomials (1998) (3)
- Limiting distributions of theta series on Siegel half-spaces (2004) (3)
- Arak’s inequalities for concentration functions and the Littlewood–Offord problem (2016) (3)
- Nonuniform bounds in the Poisson approximation with applications to informational distances. II (2019) (2)
- Half-Spaces with Influential Variable (2020) (2)
- Second-order optimality of randomized estimation and test procedures (1981) (2)
- Moment Inequalities for Linear and Nonlinear Statistics (2020) (2)
- Approximation of quadratic forms of independent random vectors by accompanying laws@@@Approximation of quadratic forms of independent random vectors by accompanying laws (1997) (2)
- Multidimensional Hungarian construction for vectors with almost Gaussian smooth distributions (2014) (2)
- Preferred Attachment in Affiliation Networks (2014) (2)
- Stability problems in Cramér-type characterization in case of i.i.d. summands@@@Stability problems in Cramér-type characterization in case of i.i.d. summands (2012) (2)
- On the Asymptotic Distribution of Singular Values of Powers of Random Matrices (2014) (2)
- Free Infinitely Divisible Approximations of n-Fold Free Convolutions (2013) (2)
- Moderate deviations for Student's statistic@@@Moderate deviations for Student's statistic (2002) (1)
- On the distribution of Salem numbers (2019) (1)
- Counting algebraic numbers in short intervals with rational points (2019) (1)
- Disordered Systems: Random Schrödinger Operators and Random Matrices (2009) (1)
- On concentration of high-dimensional matrices with randomly signed entries (2009) (1)
- A New Bound in the Littlewood–Offord Problem (2021) (1)
- On the distribution of complex roots of random polynomials with heavy-tailed coefficients@@@On the distribution of complex roots of random polynomials with heavy-tailed coefficients (2011) (1)
- Complement to the paper “On the central limit theorem along subsequences of noncorrelated observations”@@@Complement to the paper “On the central limit theorem along subsequences of noncorrelated observations” (2004) (1)
- Fisher information and the central limit theorem (2013) (0)
- Math-Net . Ru All Russian mathematical portal (2019) (0)
- New applications of Arak’s inequalities to the Littlewood–Offord problem (2018) (0)
- Asymptotic approximations for spectra of random matrices (2014) (0)
- Miscellanea - The Times of Yuri Vasilyevich Prokhorov (2013) (0)
- On points with algebraic coordinates close to smooth curves (2016) (0)
- The times of Yuri Vasilyevich Prokhorov@@@The times of Yuri Vasilyevich Prokhorov (2012) (0)
- The asymptotic number of integral cubic polynomials with bounded heights and discriminants (2014) (0)
- The Times of Yuri Vasilyevich Prokhorov (2013) (0)
- All Russian mathematical portal (2019) (0)
- On bounds for moderate deviations for Student's statistic@@@On bounds for moderate deviations for Student's statistic (2003) (0)
- The rate of convergence to the Marchenko – Pastur distribution 3 2 Proof of the main Theorem To bound ∆ (2011) (0)
- Local Semicircle Law Under Fourth Moment Condition (2019) (0)
- Estimates for the Concentration Functions in the Littlewood–Offord Problem (2015) (0)
- Random Schrödinger Operators and Random Matrices (2008) (0)
- On the central limit theorem along subsequences of noncorrelated observations@@@On the central limit theorem along subsequences of noncorrelated observations (2003) (0)
- PR ] 3 0 A pr 2 01 2 FISHER INFORMATION AND THE CENTRAL LIMIT (2014) (0)
- 1 3 Fe b 20 07 On the Circular Law (2008) (0)
- Spectral Structures and Topological Methods in Mathematics (2019) (0)
- A sharp estimate for accuracy of short asymptotic expansions in the CLT in a Hilbert space (2011) (0)
- Local laws for non-Hermitian random matrices (2017) (0)
- On distribution of points with conjugate algebraic integer coordinates close to planar curves (2017) (0)
- Asymptotic expansions in the central limit theorem in Banach spaces (1978) (0)
- Berry–Esseen bounds in the entropic central limit theorem (2013) (0)
- A MULTIVARIATE VERSION OF KOLMOGOROV’S SECOND UNIFORM LIMIT THEOREM (2019) (0)
- Marchenko-Pastur law (2004) (0)
- Fe b 20 18 HIGHER ORDER CONCENTRATION FOR FUNCTIONS OF WEAKLY DEPENDENT RANDOM VARIABLES (0)
- Book reviews (1983) (0)
- Random Matrices (2020) (0)
- Convergence and asymptotic approximations to universal distributions in probability (2019) (0)
- A BERRY–ESSEEN BOUND FOR M-ESTIMATORS V. Bentkus M.Bloznelis F.Götze (2004) (0)
- On algebraic points in the plane near smooth curves∗ (2014) (0)
- PR ] 9 D ec 2 01 5 ARAK INEQUALITIES FOR CONCENTRATION FUNCTIONS AND THE LITTLEWOOD – OFFORD PROBLEM : A SHORTENED VERSION (2015) (0)
- Preferred Attachment in Affiliation Networks (2014) (0)
- Asymptotic Distribution of Chi-square-type Statistics (2003) (0)
- Asymptotic Analysis of Symmetric Functions (2016) (0)
- Book reviews (1987) (0)
- Contribution of Jonas Kubilius to the metric theory of Diophantine approximation of dependent variables (2021) (0)
- On moments of polynomials@@@On moments of polynomials (1997) (0)
- Edgeworth approximations for distributions of symmetric statistics (2021) (0)
- On Optimal Bounds in the Local Semicircle Law under Four Moment Condition (2019) (0)
- Random Spectral Distributions (2005) (0)
- On Bounds for Characteristic Functions of Powers of Asymptotically Normal Variables (2018) (0)
- Rare Events and Poisson Point Processes (2020) (0)
- Concentration Inequalities for Bounded Functionals via Log-Sobolev-Type Inequalities (2020) (0)
This paper list is powered by the following services:
Other Resources About Friedrich Götze
What Schools Are Affiliated With Friedrich Götze?
Friedrich Götze is affiliated with the following schools:
