Götze, F.; Tikhomirov, A.; Timushev, D. Rate of convergence for sparse sample covariance matrices. (English) Zbl 07822571 Belomestny, Denis (ed.) et al., Foundations of modern statistics. Festschrift in honor of Vladimir Spokoiny. Selected contributions based on the presentations at the international conference, Berlin, Germany, November 6–8, 2019 and Moscow, Russia, November 30, 2019. Cham: Springer. Springer Proc. Math. Stat. 425, 261-300 (2023). MSC: 62-XX PDFBibTeX XMLCite \textit{F. Götze} et al., Springer Proc. Math. Stat. 425, 261--300 (2023; Zbl 07822571) Full Text: DOI
Cipolloni, Giorgio; Erdős, László; Schröder, Dominik Rank-uniform local law for Wigner matrices. (English) Zbl 1501.60003 Forum Math. Sigma 10, Paper No. e96, 43 p. (2022). Reviewer: Fraser Daly (Edinburgh) MSC: 60B20 15B52 58J51 37A25 60G65 60F05 PDFBibTeX XMLCite \textit{G. Cipolloni} et al., Forum Math. Sigma 10, Paper No. e96, 43 p. (2022; Zbl 1501.60003) Full Text: DOI arXiv
Götze, Friedrich; Naumov, Alexey; Tikhomirov, Alexander Local laws for non-Hermitian random matrices and their products. (English) Zbl 1472.60009 Random Matrices Theory Appl. 9, No. 4, Article ID 2150004, 53 p. (2020). MSC: 60B20 15B52 60B10 PDFBibTeX XMLCite \textit{F. Götze} et al., Random Matrices Theory Appl. 9, No. 4, Article ID 2150004, 53 p. (2020; Zbl 1472.60009) Full Text: DOI arXiv
Götze, F.; Naumov, A.; Tikhomirov, A. Local semicircle law under fourth moment condition. (English) Zbl 1444.60013 J. Theor. Probab. 33, No. 3, 1327-1362 (2020). MSC: 60B20 60F05 PDFBibTeX XMLCite \textit{F. Götze} et al., J. Theor. Probab. 33, No. 3, 1327--1362 (2020; Zbl 1444.60013) Full Text: DOI arXiv
Götze, F.; Naumov, A. A.; Tikhomirov, A. N. Moment inequalities for linear and nonlinear statistics. (English. Russian original) Zbl 1437.62172 Theory Probab. Appl. 65, No. 1, 1-16 (2020); translation from Teor. Veroyatn. Primen. 65, No. 1, 3-22 (2020). MSC: 62G30 60E15 PDFBibTeX XMLCite \textit{F. Götze} et al., Theory Probab. Appl. 65, No. 1, 1--16 (2020; Zbl 1437.62172); translation from Teor. Veroyatn. Primen. 65, No. 1, 3--22 (2020) Full Text: DOI
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
Meckes, Elizabeth S.; Meckes, Mark W. A sharp rate of convergence for the empirical spectral measure of a random unitary matrix. (English) Zbl 1448.60024 J. Math. Sci., New York 238, No. 4, 530-536 (2019) and Zap. Nauchn. Semin. POMI 457, 276-285 (2017). MSC: 60B20 15B52 60B10 PDFBibTeX XMLCite \textit{E. S. Meckes} and \textit{M. W. Meckes}, J. Math. Sci., New York 238, No. 4, 530--536 (2019; Zbl 1448.60024) Full Text: DOI arXiv
Götze, F.; Naumov, A. A.; Tikhomirov, A. N. On optimal bounds in the local semicircle law under four moment condition. (English. Russian original) Zbl 1422.60027 Dokl. Math. 99, No. 1, 40-43 (2019); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 3, 265-268 (2019). MSC: 60E15 60E05 60F05 PDFBibTeX XMLCite \textit{F. Götze} et al., Dokl. Math. 99, No. 1, 40--43 (2019; Zbl 1422.60027); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 484, No. 3, 265--268 (2019) Full Text: DOI
Aggarwal, Amol Bulk universality for generalized Wigner matrices with few moments. (English) Zbl 1442.15055 Probab. Theory Relat. Fields 173, No. 1-2, 375-432 (2019). MSC: 15B52 60B20 PDFBibTeX XMLCite \textit{A. Aggarwal}, Probab. Theory Relat. Fields 173, No. 1--2, 375--432 (2019; Zbl 1442.15055) Full Text: DOI arXiv
Lee, Ji Oon; Schnelli, Kevin Local law and Tracy-Widom limit for sparse random matrices. (English) Zbl 1429.60012 Probab. Theory Relat. Fields 171, No. 1-2, 543-616 (2018). MSC: 60B20 62H10 PDFBibTeX XMLCite \textit{J. O. Lee} and \textit{K. Schnelli}, Probab. Theory Relat. Fields 171, No. 1--2, 543--616 (2018; Zbl 1429.60012) Full Text: DOI arXiv