Mandal, Koushik; Satyanarayana, M. V. Atomic inversion and entanglement dynamics for squeezed coherent thermal states in the Jaynes-Cummings model. (English) Zbl 1529.81081 Int. J. Theor. Phys. 62, No. 7, Paper No. 140, 19 p. (2023). MSC: 81R30 81P40 81V80 81V45 15A09 81S30 60H50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bose, Arup; Sen, Priyanka \(XX^T\) matrices with independent entries. (English) Zbl 1509.60008 ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 1, 75-125 (2023). MSC: 60B20 60B10 05C65 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Bose, Arup; Saha, Koushik; Sen, Arusharka; Sen, Priyanka Random matrices with independent entries: beyond non-crossing partitions. (English) Zbl 1490.60020 Random Matrices Theory Appl. 11, No. 2, Article ID 2250021, 42 p. (2022). MSC: 60B20 60B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Belinschi, Serban T.; Bercovici, Hari; Capitaine, Mireille On the outlying eigenvalues of a polynomial in large independent random matrices. (English) Zbl 1471.15031 Int. Math. Res. Not. 2021, No. 4, 2588-2641 (2021). MSC: 15B52 15A18 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Zhu, Yizhe A graphon approach to limiting spectral distributions of Wigner-type matrices. (English) Zbl 1442.05214 Random Struct. Algorithms 56, No. 1, 251-279 (2020). MSC: 05C80 05B20 05C42 15B52 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cauli, Alessandra; Nicola, Fabio; Tabacco, Anita Strichartz estimates for the metaplectic representation. (English) Zbl 1429.42025 Rev. Mat. Iberoam. 35, No. 7, 2079-2092 (2019). MSC: 42B35 42C15 20G05 22E45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haake, Fritz; Gnutzmann, Sven; Kuś, Marek Quantum signatures of chaos. 4th edition. (English) Zbl 1414.81001 Springer Series in Synergetics. Cham: Springer (ISBN 978-3-319-97579-5/hbk; 978-3-319-97580-1/ebook). xxvi, 659 p. (2018). Reviewer: Piotr Garbaczewski (Opole) MSC: 81-01 37-01 81Q50 37D25 37D45 15B52 11M36 37C30 81Q60 81Q20 81V35 × Cite Format Result Cite Review PDF Full Text: DOI
Götze, F.; Naumov, A. A.; Tikhomirov, A. N. Local semicircle law under moment conditions: the Stieltjes transform, rigidity, and delocalization. (English. Russian original) Zbl 1426.15056 Theory Probab. Appl. 62, No. 1, 58-83 (2018); translation from Teor. Veroyatn. Primen. 62, No. 1, 72-103 (2017). Reviewer: Zakhar Kabluchko (Münster) MSC: 15B52 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Méndez-Bermúdez, J. A.; Ferraz de Arruda, Guilherme; Rodrigues, Francisco A.; Moreno, Yamir Diluted banded random matrices: scaling behavior of eigenfunction and spectral properties. (English) Zbl 1381.15030 J. Phys. A, Math. Theor. 50, No. 49, Article ID 495205, 10 p. (2017). MSC: 15B52 60B20 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Razavy, Mohsen Classical and quantum dissipative systems. 2nd updated edition. (English) Zbl 1358.82020 Hackensack, NJ: World Scientific (ISBN 978-981-3207-90-5/hbk; 978-981-3207-91-2/pbk; 978-981-3207-93-6/ebook). xvi, 576 p. (2017). MSC: 82C05 82-02 70F10 82C10 70-02 81V70 70Hxx × Cite Format Result Cite Review PDF Full Text: DOI
Manrique, Paulo; Pérez-Abreu, Victor; Roy, Rahul On the universality of the non-singularity of general Ginibre and Wigner random matrices. (English) Zbl 1362.15025 Random Matrices Theory Appl. 5, No. 1, Article ID 1650002, 21 p. (2016). Reviewer: Djalil Chafaï (Paris) MSC: 15B52 60B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Katori, Makoto Bessel process, Schramm-Loewner evolution, and the Dyson model. (English) Zbl 1347.82003 SpringerBriefs in Mathematical Physics 11. Singapore: Springer (ISBN 978-981-10-0274-8/pbk; 978-981-10-0275-5/ebook). x, 141 p. (2015). Reviewer: Piotr Garbaczewski (Opole) MSC: 82-02 60K35 60J67 60E05 60B20 15B52 60J70 33C10 82B43 82C22 82C24 81T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bouali, Mohamed Generalized Gaussian random unitary matrices ensemble. (English) Zbl 1316.15039 JP J. Geom. Topol. 16, No. 1, 57-84 (2014). Reviewer: Ctirad Matonoha (Prague) MSC: 15B52 15B57 60B20 60B10 44A10 47B06 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Demiralp, Metin; Tunga, Burcu A probabilistic evolution approach trilogy. III: Temporal variation of state variable expectation values from Liouville equation perspective. (English) Zbl 1365.82022 J. Math. Chem. 51, No. 4, 1198-1210 (2013). MSC: 82C44 81S25 81S30 37N05 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Wojtylak, Michal On a class of \(H\)-selfadjont random matrices with one eigenvalue of nonpositive type. (English) Zbl 1254.15037 Electron. Commun. Probab. 17, Paper No. 45, 14 p. (2012). MSC: 15B52 60B20 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Basu, Riddhipratim; Bose, Arup; Ganguly, Shirshendu; Hazra, Rajat Subhra Limiting spectral distribution of block matrices with Toeplitz block structure. (English) Zbl 1248.60008 Stat. Probab. Lett. 82, No. 7, 1430-1438 (2012). MSC: 60B20 60B10 15B05 15B52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tao, Terence Topics in random matrix theory. (English) Zbl 1256.15020 Graduate Studies in Mathematics 132. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7430-1/hbk). x, 282 p. (2012). Reviewer: Xiangqian Guo (Waterloo) MSC: 15B52 60B20 15B35 15-02 15B57 15A18 15A60 × Cite Format Result Cite Review PDF
Bogomolny, E.; Giraud, O.; Schmit, C. Integrable random matrix ensembles. (English) Zbl 1255.15042 Nonlinearity 24, No. 11, 3179-3213 (2011). MSC: 15B52 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: Link
Nasr Esfahani, Bahram; Aghaee, Mohsen Spin fidelity for three-qubit Greenberger-Horne-Zeilinger and W states under Lorentz transformations. (English) Zbl 1213.83017 Int. J. Theor. Phys. 50, No. 5, 1395-1406 (2011). MSC: 83A05 62P35 81S10 94A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tao, Terence; Vu, Van Random matrices: universality of local eigenvalue statistics. (English) Zbl 1217.15043 Acta Math. 206, No. 1, 127-204 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15B52 60B20 60E05 60E15 62L20 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Z. D.; Zhang, L. X. The limiting spectral distribution of the product of the Wigner matrix and a nonnegative definite matrix. (English) Zbl 1200.15020 J. Multivariate Anal. 101, No. 9, 1927-1949 (2010). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15B52 60F05 62J10 × Cite Format Result Cite Review PDF Full Text: DOI
Albrecht, James T.; Chan, Cy P.; Edelman, Alan Sturm sequences and random eigenvalue distributions. (English) Zbl 1173.65027 Found. Comput. Math. 9, No. 4, 461-483 (2009). Reviewer: Václav Burjan (Praha) MSC: 65F15 15B52 15A18 × Cite Format Result Cite Review PDF Full Text: DOI Link
Aubry, Jean-Marie Ultrarapidly decreasing ultradifferentiable functions, Wigner distributions and density matrices. (English) Zbl 1170.46007 J. Lond. Math. Soc., II. Ser. 78, No. 2, 392-406 (2008). Reviewer: Michael Langenbruch (Oldenburg) MSC: 46A61 46A13 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faraut, Jacques; Saal, Linda The Wigner semi-circle law and the Heisenberg group. (English) Zbl 1133.15019 Bozejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. Papers presented at the 9th workshop, Bȩdlewo, Poland, September 29–October 10, 2006. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 78, 133-143 (2008). MSC: 15B52 15A18 43A90 × Cite Format Result Cite Review PDF
Bai, Z. D.; Miao, Baiqi; Jin, Baisuo On limit theorem for the eigenvalues of product of two random matrices. (English) Zbl 1108.15022 J. Multivariate Anal. 98, No. 1, 76-101 (2007). Reviewer: Václav Burjan (Praha) MSC: 15B52 15A90 60E05 15A18 × Cite Format Result Cite Review PDF Full Text: DOI
Razavy, Mohsen Classical and quantum dissipative systems. (English) Zbl 1105.82014 London: Imperial College Press (ISBN 1-86094-530-9/pbk; 1-86094-525-2/hbk; 978-1-86094-918-0/ebook). xv, 334 p. (2005). Reviewer: Guy Jumarie (Montréal) MSC: 82C05 82-02 70F10 82C10 70-02 81V70 70Hxx × Cite Format Result Cite Review PDF
Götze, Friedrich; Merkl, Franz Random spectral distributions. (English) Zbl 1107.15017 Deuschel, Jean-Dominique (ed.) et al., Interacting stochastic systems. Berlin: Springer (ISBN 3-540-23033-5/hbk). 181-205 (2005). Reviewer: Eckhard Giere (Clausthal-Zellerfeld) MSC: 15B52 11M26 15A90 60F05 × Cite Format Result Cite Review PDF
ter Morsche, Hennie; Oonincx, Patrick J. On the integral representations for metaplectic operators. (English) Zbl 1031.42006 J. Fourier Anal. Appl. 8, No. 3, 245-257 (2002). Reviewer: Stefan G.Samko (Faro) MSC: 42B10 42A38 × Cite Format Result Cite Review PDF Full Text: DOI Link
Abd El-Hady, A.; Abul-Magd, A. Y.; Simbel, M. H. Influence of symmetry breaking on the fluctuation properties of spectra. (English) Zbl 1010.81027 J. Phys. A, Math. Gen. 35, No. 10, 2361-2372 (2002). MSC: 81Q50 81Q10 81S40 82D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Johansson, Kurt Universality of the local spacing distribution in certain ensembles of Hermitian Wigner matrices. (English) Zbl 0978.15020 Commun. Math. Phys. 215, No. 3, 683-705 (2001). Reviewer: Kim Hang Kim (Montgomery) MSC: 15B52 60J65 15A18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hiai, Fumio; Petz, Dénes The semicircle law, free random variables and entropy. (English) Zbl 0955.46037 Mathematical Surveys and Monographs. 77. Providence, RI: American Mathematical Society (AMS). x, 376 p. (2000). Reviewer: Fedor Sukochev (Adelaide) MSC: 46L54 15B52 60F10 94A17 46N50 60J65 81S25 05A17 × Cite Format Result Cite Review PDF
Morozov, V. G.; Röpke, G. The “mixed” Green’s function approach to quantum kinetics with initial correlations. (English) Zbl 0976.82031 Ann. Phys. 278, No. 2, 127-177 (1999). MSC: 82C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nasalski, W. Wigner distribution function for propagation in a nonlinear Kerr medium. (English) Zbl 0939.78002 J. Tech. Phys. 39, No. 1, 105-114 (1998). MSC: 78A10 × Cite Format Result Cite Review PDF
Blecken, C.; Chen, Y.; Muttalib, K. A. Transitions in spectral statistics. (English) Zbl 0834.15014 J. Phys. A, Math. Gen. 27, No. 16, L563-L568 (1994). MSC: 15B52 15A90 82B23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Z. D. Convergence rate of expected spectral distributions of large random matrices. I: Wigner matrices. (English) Zbl 0779.60024 Ann. Probab. 21, No. 2, 625-648 (1993). Reviewer: V.Sakalauskas (Kaunas) MSC: 60F15 62F15 × Cite Format Result Cite Review PDF Full Text: DOI
Erickson, Gary J. (ed.); Smith, C. Ray (ed.) Maximum-entropy and Bayesian methods in science and engineering. Vol. I: Foundations. Vol II: Applications. (Proceedings of the 5th, 6th and 7th workshops held at the University of Wyoming, August 5-8, 1985, and at Seattle University, August 5-8, 1986, and August 4-7, 1987). (English) Zbl 0665.62006 Fundamental Theories of Physics, 31-32. Dordrecht etc.: Kluwer Academic Publishers. x, 316 p./Vol. I; ix, 436 p./Vol II, £98.00/set (1988). Reviewer: K.Piasecki MSC: 62-06 62A01 68T05 62N99 62P99 94A15 62B10 68T99 × Cite Format Result Cite Review PDF
Bai, Z. D.; Yin, Y. Q. Necessary and sufficient conditions for almost sure convergence of the largest eigenvalue of a Wigner matrix. (English) Zbl 0677.60038 Ann. Probab. 16, No. 4, 1729-1741 (1988). Reviewer: F.Juhasz MSC: 60F99 62E20 × Cite Format Result Cite Review PDF Full Text: DOI
Majumdar, C. K. Random matrices in condensed matter physics. (English) Zbl 0525.15014 Stochastic processes - formalism and applications, Proc. Winter Sch., Hyderabad/India 1982, Lect. Notes Phys. 184, 286-299 (1983). MSC: 15B52 15B51 82D20 × Cite Format Result Cite Review PDF