Götze, Friedrich; Kösters, Holger Convergence and asymptotic approximations to universal distributions in probability. (English) Zbl 1458.60035 Baake, Michael (ed.) et al., Spectral structures and topological methods in mathematics. Zürich: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 1-28 (2019). MSC: 60F05 60E05 PDFBibTeX XMLCite \textit{F. Götze} and \textit{H. Kösters}, in: Spectral structures and topological methods in mathematics. Zürich: European Mathematical Society (EMS). 1--28 (2019; Zbl 1458.60035) Full Text: DOI
Götze, F.; Tikhomirov, A. Optimal bounds for convergence of expected spectral distributions to the semi-circular law. (English) Zbl 1338.60014 Probab. Theory Relat. Fields 165, No. 1-2, 163-233 (2016). MSC: 60B20 60F99 PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. Tikhomirov}, Probab. Theory Relat. Fields 165, No. 1--2, 163--233 (2016; Zbl 1338.60014) Full Text: DOI arXiv
Götze, Friedrich; Tikhomirov, Alexandre On the rate of convergence to the semi-circular law. (English) Zbl 1274.60020 Houdré, Christian (ed.) et al., High dimensional probability VI. The Banff volume. Proceedings of the sixth high dimensional probability conference (HDP VI), Banff, Canada, October 9–14, 2011. Basel: Birkhäuser (ISBN 978-3-0348-0489-9/hbk; 978-3-0348-0490-5/ebook). Progress in Probability 66, 139-165 (2013). Reviewer: Michael Voit (Dortmund) MSC: 60B20 60F99 PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. Tikhomirov}, Prog. Probab. 66, 139--165 (2013; Zbl 1274.60020) Full Text: DOI arXiv
Bobkov, S. G.; Götze, F.; Tikhomirov, A. N. On concentration of empirical measures and convergence to the semi-circle law. (English) Zbl 1247.60010 J. Theor. Probab. 23, No. 3, 792-823 (2010). Reviewer: Michael Voit (Dortmund) MSC: 60B20 PDFBibTeX XMLCite \textit{S. G. Bobkov} et al., J. Theor. Probab. 23, No. 3, 792--823 (2010; Zbl 1247.60010) Full Text: DOI
Götze, Friedrich; Tikhomirov, Alexander N.; Timushev, Dmitry A. Rate of convergence to the semi-circle law for the deformed Gaussian unitary Ensemble. (English) Zbl 1155.15027 Cent. Eur. J. Math. 5, No. 2, 305-334 (2007). Reviewer: Costică Moroşanu (Iaşi) MSC: 15B52 60F99 41A60 PDFBibTeX XMLCite \textit{F. Götze} et al., Cent. Eur. J. Math. 5, No. 2, 305--334 (2007; Zbl 1155.15027) Full Text: DOI
Götze, Friedrich; Tikhomirov, Alexander The rate of convergence for spectra of GUE and LUE matrix ensembles. (English) Zbl 1108.60014 Cent. Eur. J. Math. 3, No. 4, 666-704 (2005). MSC: 60F05 15B52 33C45 82B31 PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. Tikhomirov}, Cent. Eur. J. Math. 3, No. 4, 666--704 (2005; Zbl 1108.60014) Full Text: DOI
Götze, Friedrich; Tikhomirov, Alexander Rate of convergence in probability to the Marchenko-Pastur law. (English) Zbl 1049.60018 Bernoulli 10, No. 3, 503-548 (2004). MSC: 60F05 PDFBibTeX XMLCite \textit{F. Götze} and \textit{A. Tikhomirov}, Bernoulli 10, No. 3, 503--548 (2004; Zbl 1049.60018) Full Text: DOI Euclid