A. S., Kiran Kumar; Maurya, Shambhu Nath Asymptotic behaviour of linear eigenvalue statistics of Hankel matrices. (English) Zbl 1478.60016 Stat. Probab. Lett. 181, Article ID 109273, 12 p. (2022). MSC: 60B20 15B52 60F05 PDF BibTeX XML Cite \textit{K. K. A. S.} and \textit{S. N. Maurya}, Stat. Probab. Lett. 181, Article ID 109273, 12 p. (2022; Zbl 1478.60016) Full Text: DOI arXiv OpenURL
Adhikari, Kartick; Jana, Indrajit; Saha, Koushik Linear eigenvalue statistics of random matrices with a variance profile. (English) Zbl 1479.60010 Random Matrices Theory Appl. 10, No. 3, Article ID 2250004, 25 p. (2021). MSC: 60B20 15B52 05C80 60E15 PDF BibTeX XML Cite \textit{K. Adhikari} et al., Random Matrices Theory Appl. 10, No. 3, Article ID 2250004, 25 p. (2021; Zbl 1479.60010) Full Text: DOI arXiv OpenURL
Disertori, Margherita; Lohmann, Martin; Sodin, Sasha The density of states of 1D random band matrices via a supersymmetric transfer operator. (English) Zbl 1469.60028 J. Spectr. Theory 11, No. 1, 125-191 (2021). MSC: 60B20 82B44 60H25 PDF BibTeX XML Cite \textit{M. Disertori} et al., J. Spectr. Theory 11, No. 1, 125--191 (2021; Zbl 1469.60028) Full Text: DOI arXiv OpenURL
Yin, Jun Open problems on random band matrices. (English) Zbl 1469.60036 Ji, Lizhen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 519-535 (2020). Reviewer: Pavel Stoynov (Sofia) MSC: 60B20 15B52 PDF BibTeX XML Cite \textit{J. Yin}, in: Proceedings of the international consortium of Chinese mathematicians, 2018. Second meeting, Taipei, Taiwan, December 2018. Somerville, MA: International Press. 519--535 (2020; Zbl 1469.60036) OpenURL
Kirsch, Werner; Kriecherbauer, Thomas Random matrices with exchangeable entries. (English) Zbl 1458.60016 Rev. Math. Phys. 32, No. 7, Article ID 2050022, 38 p. (2020). Reviewer: Göran Högnäs (Åbo) MSC: 60B20 60G09 PDF BibTeX XML Cite \textit{W. Kirsch} and \textit{T. Kriecherbauer}, Rev. Math. Phys. 32, No. 7, Article ID 2050022, 38 p. (2020; Zbl 1458.60016) Full Text: DOI arXiv OpenURL
Maurya, Shambhu Nath; Saha, Koushik Process convergence of fluctuations of linear eigenvalue statistics of band Toeplitz matrices. (English) Zbl 1455.60015 Stat. Probab. Lett. 166, Article ID 108875, 11 p. (2020). MSC: 60B20 60J65 PDF BibTeX XML Cite \textit{S. N. Maurya} and \textit{K. Saha}, Stat. Probab. Lett. 166, Article ID 108875, 11 p. (2020; Zbl 1455.60015) Full Text: DOI OpenURL
Dietzfelbinger, Martin; Walzer, Stefan Efficient Gauss elimination for near-quadratic matrices with one short random block per row, with applications. (English) Zbl 07525476 Bender, Michael A. (ed.) et al., 27th annual European symposium on algorithms, ESA 2019, Munich/Garching, Germany, September 9–11, 2019. Proceedings. Wadern: Schloss Dagstuhl – Leibniz-Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 144, Article 39, 18 p. (2019). MSC: 68Wxx PDF BibTeX XML Cite \textit{M. Dietzfelbinger} and \textit{S. Walzer}, LIPIcs -- Leibniz Int. Proc. Inform. 144, Article 39, 18 p. (2019; Zbl 07525476) Full Text: DOI arXiv OpenURL
Bourgade, P.; Yang, F.; Yau, H.-T.; Yin, J. Random band matrices in the delocalized phase. II: Generalized resolvent estimates. (English) Zbl 1447.60018 J. Stat. Phys. 174, No. 6, 1189-1221 (2019). MSC: 60B20 15B52 58J51 PDF BibTeX XML Cite \textit{P. Bourgade} et al., J. Stat. Phys. 174, No. 6, 1189--1221 (2019; Zbl 1447.60018) Full Text: DOI arXiv OpenURL
Au, Benson Traffic distributions of random band matrices. (English) Zbl 1403.60011 Electron. J. Probab. 23, Paper No. 77, 48 p. (2018). MSC: 60B20 15B52 46L53 PDF BibTeX XML Cite \textit{B. Au}, Electron. J. Probab. 23, Paper No. 77, 48 p. (2018; Zbl 1403.60011) Full Text: DOI arXiv Euclid OpenURL
Shcherbina, Mariya; Shcherbina, Tatyana Universality for 1d random band matrices: sigma-model approximation. (English) Zbl 1397.82032 J. Stat. Phys. 172, No. 2, 627-664 (2018). MSC: 82B44 15B52 15A18 60B20 PDF BibTeX XML Cite \textit{M. Shcherbina} and \textit{T. Shcherbina}, J. Stat. Phys. 172, No. 2, 627--664 (2018; Zbl 1397.82032) Full Text: DOI arXiv OpenURL
Olver, Sheehan; Swan, Andrew Evidence of the Poisson/Gaudin-Mehta phase transition for band matrices on global scales. (English) Zbl 1392.60014 Random Matrices Theory Appl. 7, No. 2, Article ID 1850002, 21 p. (2018). MSC: 60B20 82B44 15B52 PDF BibTeX XML Cite \textit{S. Olver} and \textit{A. Swan}, Random Matrices Theory Appl. 7, No. 2, Article ID 1850002, 21 p. (2018; Zbl 1392.60014) Full Text: DOI arXiv OpenURL
Bao, Zhigang; Erdős, László Delocalization for a class of random block band matrices. (English) Zbl 1391.15110 Probab. Theory Relat. Fields 167, No. 3-4, 673-776 (2017). Reviewer: Martin Plešinger (Liberec) MSC: 15B52 81Q60 82B44 PDF BibTeX XML Cite \textit{Z. Bao} and \textit{L. Erdős}, Probab. Theory Relat. Fields 167, No. 3--4, 673--776 (2017; Zbl 1391.15110) Full Text: DOI arXiv Link OpenURL
Fyodorov, Y. V.; Kupiainen, A.; Webb, C. Towards rigorous analysis of the Levitov-Mirlin-Evers recursion. (English) Zbl 1357.60091 Nonlinearity 29, No. 12, 3871-3896 (2016). MSC: 60J80 60G50 60G18 15B52 82B44 PDF BibTeX XML Cite \textit{Y. V. Fyodorov} et al., Nonlinearity 29, No. 12, 3871--3896 (2016; Zbl 1357.60091) Full Text: DOI arXiv OpenURL
Shcherbina, Mariya; Shcherbina, Tatyana Transfer matrix approach to 1D random band matrices: density of states. (English) Zbl 1354.82017 J. Stat. Phys. 164, No. 6, 1233-1260 (2016). MSC: 82B44 15B52 60B20 PDF BibTeX XML Cite \textit{M. Shcherbina} and \textit{T. Shcherbina}, J. Stat. Phys. 164, No. 6, 1233--1260 (2016; Zbl 1354.82017) Full Text: DOI arXiv OpenURL
Jana, I.; Saha, K.; Soshnikov, A. Fluctuations of linear eigenvalue statistics of random band matrices. (English) Zbl 1348.15024 Theory Probab. Appl. 60, No. 3, 407-443 (2016) and Teor. Veroyatn. Primen. 60, No. 3, 553-592 (2016). MSC: 15B52 15A18 60B20 60F05 PDF BibTeX XML Cite \textit{I. Jana} et al., Theory Probab. Appl. 60, No. 3, 407--443 (2016; Zbl 1348.15024) Full Text: DOI arXiv OpenURL
Li, Yiting; Sun, Xin On fluctuations for random band Toeplitz matrices. (English) Zbl 1360.60019 Random Matrices Theory Appl. 4, No. 3, Article ID 1550012, 28 p. (2015). MSC: 60B20 15B05 60J65 PDF BibTeX XML Cite \textit{Y. Li} and \textit{X. Sun}, Random Matrices Theory Appl. 4, No. 3, Article ID 1550012, 28 p. (2015; Zbl 1360.60019) Full Text: DOI arXiv OpenURL
Shcherbina, Tatyana On the second mixed moment of the characteristic polynomials of 1D band matrices. (English) Zbl 1292.15036 Commun. Math. Phys. 328, No. 1, 45-82 (2014). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15B52 60B20 15A18 PDF BibTeX XML Cite \textit{T. Shcherbina}, Commun. Math. Phys. 328, No. 1, 45--82 (2014; Zbl 1292.15036) Full Text: DOI arXiv OpenURL
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun The local semicircle law for a general class of random matrices. (English) Zbl 1373.15053 Electron. J. Probab. 18, Paper No. 59, 58 p. (2013). MSC: 15B52 82B44 PDF BibTeX XML Cite \textit{L. Erdős} et al., Electron. J. Probab. 18, Paper No. 59, 58 p. (2013; Zbl 1373.15053) Full Text: DOI arXiv OpenURL
Erdős, László; Knowles, Antti; Yau, Horng-Tzer; Yin, Jun Delocalization and diffusion profile for random band matrices. (English) Zbl 1279.15027 Commun. Math. Phys. 323, No. 1, 367-416 (2013). Reviewer: Václav Burjan (Praha) MSC: 15B52 60B20 81P16 15A18 60J60 60G50 PDF BibTeX XML Cite \textit{L. Erdős} et al., Commun. Math. Phys. 323, No. 1, 367--416 (2013; Zbl 1279.15027) Full Text: DOI arXiv OpenURL
Liu, Dangzheng; Sun, Xin; Wang, Zhengdong Fluctuations of eigenvalues for random Toeplitz and related matrices. (English) Zbl 1284.60017 Electron. J. Probab. 17, Paper No. 95, 22 p. (2012). MSC: 60B20 60F05 PDF BibTeX XML Cite \textit{D. Liu} et al., Electron. J. Probab. 17, Paper No. 95, 22 p. (2012; Zbl 1284.60017) Full Text: DOI arXiv OpenURL
Delvaux, Steven; Dette, Holger Zeros and ratio asymptotics for matrix orthogonal polynomials. (English) Zbl 1273.42026 J. Anal. Math. 118, No. 2, 657-690 (2012). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{S. Delvaux} and \textit{H. Dette}, J. Anal. Math. 118, No. 2, 657--690 (2012; Zbl 1273.42026) Full Text: DOI arXiv OpenURL
Erdős, László; Yau, Horng-Tzer; Yin, Jun Bulk universality for generalized Wigner matrices. (English) Zbl 1277.15026 Probab. Theory Relat. Fields 154, No. 1-2, 341-407 (2012). Reviewer: Piotr Sulkowski (Amsterdam) MSC: 15B52 82B44 60B20 15A18 PDF BibTeX XML Cite \textit{L. Erdős} et al., Probab. Theory Relat. Fields 154, No. 1--2, 341--407 (2012; Zbl 1277.15026) Full Text: DOI arXiv OpenURL
Basak, Anirban; Bose, Arup Limiting spectral distributions of some band matrices. (English) Zbl 1265.60008 Period. Math. Hung. 63, No. 1, 113-150 (2011). MSC: 60B20 60F05 60F15 15B52 PDF BibTeX XML Cite \textit{A. Basak} and \textit{A. Bose}, Period. Math. Hung. 63, No. 1, 113--150 (2011; Zbl 1265.60008) Full Text: DOI arXiv OpenURL
Li, Yi-Ting; Liu, Dang-Zheng; Wang, Zheng-Dong Limit distributions of eigenvalues for random block Toeplitz and Hankel matrices. (English) Zbl 1237.15033 J. Theor. Probab. 24, No. 4, 1063-1086 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15B52 60B20 15A18 PDF BibTeX XML Cite \textit{Y.-T. Li} et al., J. Theor. Probab. 24, No. 4, 1063--1086 (2011; Zbl 1237.15033) Full Text: DOI arXiv OpenURL
Liu, Dang-Zheng; Wang, Zheng-Dong Limit distribution of eigenvalues for random Hankel and Toeplitz band matrices. (English) Zbl 1237.15034 J. Theor. Probab. 24, No. 4, 988-1001 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15B52 60B20 15A18 PDF BibTeX XML Cite \textit{D.-Z. Liu} and \textit{Z.-D. Wang}, J. Theor. Probab. 24, No. 4, 988--1001 (2011; Zbl 1237.15034) Full Text: DOI arXiv OpenURL
Spencer, Thomas Random banded and sparse matrices. (English) Zbl 1236.15074 Akemann, Gernot (ed.) et al., The Oxford handbook of random matrix theory. Oxford: Oxford University Press (ISBN 978-0-19-957400-1/hbk). Oxford Handbooks in Mathematics, 471-488 (2011). MSC: 15B52 60B20 05C50 81Q05 PDF BibTeX XML Cite \textit{T. Spencer}, in: The Oxford handbook of random matrix theory. Oxford: Oxford University Press. 471--488 (2011; Zbl 1236.15074) OpenURL
Bose, Arup; Hazra, Rajat Subhra; Saha, Koushik Patterned random matrices and method of moments. (English) Zbl 1228.60012 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-34-2/hbk; 978-81-85931-08-3/hbk; 978-981-4324-31-1/set; 978-981-4324-35-9/ebook). 2203-2231 (2011). MSC: 60B20 60F05 62E20 60G57 60B10 PDF BibTeX XML Cite \textit{A. Bose} et al., in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 2203--2231 (2011; Zbl 1228.60012) Full Text: Link OpenURL
Erdős, László; Yau, Horng-Tzer; Yin, Jun Universality for generalized Wigner matrices with Bernoulli distribution. (English) Zbl 1235.15029 J. Comb. 2, No. 1, 15-82 (2011). Reviewer: Václav Burjan (Praha) MSC: 15B52 15A18 PDF BibTeX XML Cite \textit{L. Erdős} et al., J. Comb. 2, No. 1, 15--82 (2011; Zbl 1235.15029) Full Text: DOI arXiv OpenURL
Erdős, László; Knowles, Antti Quantum diffusion and eigenfunction delocalization in a random band matrix model. (English) Zbl 1226.15024 Commun. Math. Phys. 303, No. 2, 509-554 (2011). Reviewer: Martín Argerami (Regina) MSC: 15B52 60B20 60J60 15A18 82B10 PDF BibTeX XML Cite \textit{L. Erdős} and \textit{A. Knowles}, Commun. Math. Phys. 303, No. 2, 509--554 (2011; Zbl 1226.15024) Full Text: DOI arXiv OpenURL
Bass, Richard F.; Gröchenig, Karlheinz Random sampling of multivariate trigonometric polynomials. (English) Zbl 1096.94008 SIAM J. Math. Anal. 36, No. 3, 773-795 (2004). MSC: 94A12 94A20 15A12 15B52 42B99 42A15 42A61 60G50 60G99 PDF BibTeX XML Cite \textit{R. F. Bass} and \textit{K. Gröchenig}, SIAM J. Math. Anal. 36, No. 3, 773--795 (2004; Zbl 1096.94008) Full Text: DOI OpenURL
Disertori, M. Smoothness of the averaged density of states in a random band matrix model. (English) Zbl 1033.82007 Markov Process. Relat. Fields 9, No. 2, 311-322 (2003). Reviewer: Václav Burjan (Praha) MSC: 82B44 15B52 PDF BibTeX XML Cite \textit{M. Disertori}, Markov Process. Relat. Fields 9, No. 2, 311--322 (2003; Zbl 1033.82007) OpenURL
Böttcher, A.; Embree, M.; Sokolov, V. I. On large Toeplitz band matrices with an uncertain block. (English) Zbl 1021.15008 Linear Algebra Appl. 366, 87-97 (2003). Reviewer: Pei Yuan Wu (Hsinchu) MSC: 15A18 15A60 15B57 PDF BibTeX XML Cite \textit{A. Böttcher} et al., Linear Algebra Appl. 366, 87--97 (2003; Zbl 1021.15008) Full Text: DOI OpenURL
Disertori, M.; Pinson, H.; Spencer, T. Density of states for random band matrices. (English) Zbl 1019.15014 Commun. Math. Phys. 232, No. 1, 83-124 (2002). Reviewer: Václav Burjan (Praha) MSC: 15B52 82B44 PDF BibTeX XML Cite \textit{M. Disertori} et al., Commun. Math. Phys. 232, No. 1, 83--124 (2002; Zbl 1019.15014) Full Text: DOI arXiv OpenURL
Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. On the level density of random band matrices. (English. Russian original) Zbl 0778.60008 Math. Notes 50, No. 6, 1232-1242 (1991); translation from Mat. Zametki 50, No. 6, 31-42 (1991). MSC: 60E99 15B52 47A75 PDF BibTeX XML Cite \textit{L. V. Bogachev} et al., Math. Notes 50, No. 6, 1232--1242 (1991; Zbl 0778.60008); translation from Mat. Zametki 50, No. 6, 31--42 (1991) Full Text: DOI OpenURL
Bogachev, L. V.; Molchanov, S. A.; Pastur, L. A. On the density of the states of band random matrices. (Russian) Zbl 0762.60015 Mat. Zametki 50, No. 6, 31-42 (1991). Reviewer: R.Norvaiša (Ottawa) MSC: 60E99 15B52 47A75 PDF BibTeX XML Cite \textit{L. V. Bogachev} et al., Mat. Zametki 50, No. 6, 31--42 (1991; Zbl 0762.60015) OpenURL
Sato, K.; Yamamoto, S.; Fujishiro, S. On the dynamic response of the hysteretic system. (English) Zbl 0692.73060 Comput. Mech. 5, No. 4, 241-254 (1989). MSC: 74S30 74H50 70K50 74H45 PDF BibTeX XML Cite \textit{K. Sato} et al., Comput. Mech. 5, No. 4, 241--254 (1989; Zbl 0692.73060) Full Text: DOI OpenURL
Bouchaud, J. P.; Georges, A.; Hansel, D.; Le Doussal, P.; Maillard, J. M. Rigorous bounds and the replica method for products of random matrices. (English) Zbl 0665.15014 J. Phys. A 19, 1145-1152 (1986). Reviewer: T.Kaijser MSC: 15B52 60K35 PDF BibTeX XML Cite \textit{J. P. Bouchaud} et al., J. Phys. A, Math. Gen. 19, 1145--1152 (1986; Zbl 0665.15014) Full Text: DOI OpenURL
Coleman, Thomas F.; Moré, Jorge J. Estimation of sparse Jacobian matrices and graph coloring problems. (English) Zbl 0527.65033 SIAM J. Numer. Anal. 20, 187-209 (1983). MSC: 65H10 65F30 65F50 05C50 05C15 PDF BibTeX XML Cite \textit{T. F. Coleman} and \textit{J. J. Moré}, SIAM J. Numer. Anal. 20, 187--209 (1983; Zbl 0527.65033) Full Text: DOI OpenURL