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Friedrich Götze

Friedrich Götze

D-Index & Metrics

Mathematics

D-Index
39
Citations
7316
World Ranking
2167
National Ranking
137

Research.com Recognitions

  • 2009 - German National Academy of Sciences Leopoldina - Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften Mathematics

Overview

Friedrich Götze is affiliated with Bielefeld University in Germany. Their research activity centers primarily around mathematics, with a notable focus on applied mathematics, statistics and probability, and mathematical physics. Additional areas of interest include finance and management science and operations research.

The scientist's publications cover a range of topics, prominently featuring:

  • Random Matrices and Applications
  • Point processes and geometric inequalities
  • Probability and Risk Models
  • Mathematical Inequalities and Applications
  • Mathematical functions and polynomials
  • Stochastic processes and financial applications
  • Stochastic processes and statistical mechanics

Typical venues for their publications include:

  • arXiv (Cornell University)
  • Journal of Mathematical Sciences
  • Electronic Journal of Probability
  • Theory of Probability and Its Applications
  • Теория вероятностей и ее применения

Examples of recent papers by Friedrich Götze are:

  • "Distribution of values of quadratic forms at integral points", 2022, Inventiones mathematicae
  • "Rate of convergence to the Circular Law via smoothing inequalities for log-potentials", 2020, Random Matrices Theory and Application
  • "Grassmann Angles and Absorption Probabilities of Gaussian Convex Hulls", 2023, Journal of Mathematical Sciences
  • "Moment Inequalities for Linear and Nonlinear Statistics", 2020, Theory of Probability and Its Applications

Coauthor collaboration is a significant aspect of their work, including frequent partnerships with:

  • Sergey G. Bobkov
  • Gennadiy Chistyakov
  • A. Yu. Zaîtsev
  • G. P. Chistyakov
  • А. Н. Тихомиров

Friedrich Götze has contributed to book publications, including a work published by Springer Nature titled "Concentration and Gaussian Approximation for Randomized Sums" in 2023.

The scientist was recognized by the German National Academy of Sciences Leopoldina in 2009 in the field of mathematics.

Best Publications

  • Exponential Integrability and Transportation Cost Related to Logarithmic Sobolev Inequalities

    S.G Bobkov;F Götze

  • RESAMPLING FEWER THAN n OBSERVATIONS: GAINS, LOSSES, AND REMEDIES FOR LOSSES

    P. J. Bickel;P. J. Bickel;F. Götze;F. Götze;W. R. van Zwet;W. R. van Zwet

  • On the Rate of Convergence in the Multivariate CLT

    Friedrich Götze

  • When is the Student $t$-statistic asymptotically standard normal?

    Evarist Giné;Friedrich Götze;David M. Mason

  • Asymptotic expansions for sums of weakly dependent random vectors

    F. Götze;C. Hipp

  • The circular law for random matrices

    Friedrich Götze;Alexander Tikhomirov

  • Second-order correctness of the blockwise bootstrap for stationary observations

    Friedrich Götze;HR Kunsch

  • Asymptotic expansions for bivariate von Mises functionals

    F. Götze

  • The Berry-Esseen bound for student's statistic

    V. Bentkus;F. Götze

  • The Edgeworth Expansion for $U$-Statistics of Degree Two

    P. J. Bickel;P. J. Bickel;F. Götze;F. Götze;W. R. van Zwet;W. R. van Zwet

  • Rate of convergence to the semi-circular law

    F. Götze;A. Tikhomirov

  • An Edgeworth expansion for symmetric statistics

    V. Bentkus;F. Götze;W. R. van Zwet

  • Lattice point problems and values of quadratic forms

    Friedrich Götze

  • On the Asymptotic Spectrum of Products of Independent Random Matrices.

    Friedrich Götze;Alexander Tikhomirov

  • Rate of convergence in probability to the Marchenko-Pastur law

    Friedrich Götze;Alexander Tikhomirov

  • On the lattice point problem for ellipsoids

    V. Bentkus;F. Götze

  • Lattice point problems and distribution of values of quadratic forms

    Vidmantas Bentkus;Friedrich Götze

  • Asymptotic Distribution of Statistics in Time Series

    F. Gotze;C. Hipp

  • The distribution of close conjugate algebraic numbers

    Victor Beresnevich;Vasili Bernik;Friedrich Götze

  • Limit theorems in free probability theory. I

    Gennadii P. Chistyakov;Friedrich Götze

  • The rate of convergence for spectra of GUE and LUE matrix ensembles

    Friedrich Götze;Alexander Tikhomirov

Frequent Co-Authors

Sergey G. Bobkov
Sergey G. Bobkov University of Minnesota
Vladimir Spokoiny
Vladimir Spokoiny Weierstrass Institute for Applied Analysis and Stochastics
Michael Baake
Michael Baake Bielefeld University
Ričardas Zitikis
Ričardas Zitikis University of Western Ontario
Gregory Margulis
Gregory Margulis Yale University
Gernot Akemann
Gernot Akemann Bielefeld University
David M. Mason
David M. Mason University of Delaware
Henning Krause
Henning Krause Bielefeld University
Rabi Bhattacharya
Rabi Bhattacharya University of Arizona

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