Baik, Jinho; Bothner, Thomas The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system. (English) Zbl 1434.60018 Ann. Appl. Probab. 30, No. 1, 460-501 (2020). MSC: 60B20 15B52 45M05 60G70 PDF BibTeX XML Cite \textit{J. Baik} and \textit{T. Bothner}, Ann. Appl. Probab. 30, No. 1, 460--501 (2020; Zbl 1434.60018) Full Text: DOI Euclid
Simm, Nick On the real spectrum of a product of Gaussian matrices. (English) Zbl 1373.15057 Electron. Commun. Probab. 22, Paper No. 41, 11 p. (2017). MSC: 15B52 60B20 PDF BibTeX XML Cite \textit{N. Simm}, Electron. Commun. Probab. 22, Paper No. 41, 11 p. (2017; Zbl 1373.15057) Full Text: DOI Euclid
Poplavskyi, Mihail; Tribe, Roger; Zaboronski, Oleg On the distribution of the largest real eigenvalue for the real Ginibre ensemble. (English) Zbl 1375.60023 Ann. Appl. Probab. 27, No. 3, 1395-1413 (2017). MSC: 60B20 60F10 15B52 PDF BibTeX XML Cite \textit{M. Poplavskyi} et al., Ann. Appl. Probab. 27, No. 3, 1395--1413 (2017; Zbl 1375.60023) Full Text: DOI
Simm, N. J. Central limit theorems for the real eigenvalues of large Gaussian random matrices. (English) Zbl 1378.60054 Random Matrices Theory Appl. 6, No. 1, Article ID 1750002, 18 p. (2017). MSC: 60F05 60B20 15B52 PDF BibTeX XML Cite \textit{N. J. Simm}, Random Matrices Theory Appl. 6, No. 1, Article ID 1750002, 18 p. (2017; Zbl 1378.60054) Full Text: DOI arXiv
Kanzieper, Eugene; Poplavskyi, Mihail; Timm, Carsten; Tribe, Roger; Zaboronski, Oleg What is the probability that a large random matrix has no real eigenvalues? (English) Zbl 1375.60019 Ann. Appl. Probab. 26, No. 5, 2733-2753 (2016). MSC: 60B20 60F10 PDF BibTeX XML Cite \textit{E. Kanzieper} et al., Ann. Appl. Probab. 26, No. 5, 2733--2753 (2016; Zbl 1375.60019) Full Text: DOI arXiv
del Molino, Luis Carlos García; Pakdaman, Khashayar; Touboul, Jonathan; Wainrib, Gilles The real Ginibre ensemble with \(k=O(n)\) real eigenvalues. (English) Zbl 1343.15024 J. Stat. Phys. 163, No. 2, 303-323 (2016). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 60F10 60B20 15A18 PDF BibTeX XML Cite \textit{L. C. G. del Molino} et al., J. Stat. Phys. 163, No. 2, 303--323 (2016; Zbl 1343.15024) Full Text: DOI
Akemann, G.; Phillips, M. J. The interpolating Airy kernels for the \(\beta=1\) and \(\beta=4\) elliptic Ginibre ensembles. (English) Zbl 1295.15021 J. Stat. Phys. 155, No. 3, 421-465 (2014). MSC: 15B52 60B20 15A18 PDF BibTeX XML Cite \textit{G. Akemann} and \textit{M. J. Phillips}, J. Stat. Phys. 155, No. 3, 421--465 (2014; Zbl 1295.15021) Full Text: DOI arXiv
Forrester, Peter J.; Mays, Anthony Pfaffian point process for the Gaussian real generalised eigenvalue problem. (English) Zbl 1262.60008 Probab. Theory Relat. Fields 154, No. 1-2, 1-47 (2012). Reviewer: Zakhar Kabluchko (Ulm) MSC: 60B20 15B52 60G55 PDF BibTeX XML Cite \textit{P. J. Forrester} and \textit{A. Mays}, Probab. Theory Relat. Fields 154, No. 1--2, 1--47 (2012; Zbl 1262.60008) Full Text: DOI arXiv
Tribe, Roger; Zaboronski, Oleg Pfaffian formulae for one dimensional coalescing and annihilating systems. (English) Zbl 1244.60097 Electron. J. Probab. 16, Paper No. 76, 2080-2103 (2011). MSC: 60K35 60B20 82C22 PDF BibTeX XML Cite \textit{R. Tribe} and \textit{O. Zaboronski}, Electron. J. Probab. 16, Paper No. 76, 2080--2103 (2011; Zbl 1244.60097) Full Text: DOI arXiv
Sinclair, Christopher D. Correlation functions for \(\beta =1\) ensembles of matrices of odd size. (English) Zbl 1220.82066 J. Stat. Phys. 136, No. 1, 17-33 (2009). MSC: 82B44 15B52 60B20 60K40 PDF BibTeX XML Cite \textit{C. D. Sinclair}, J. Stat. Phys. 136, No. 1, 17--33 (2009; Zbl 1220.82066) Full Text: DOI arXiv