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Found 44 Documents (Results 1–44)

Jacobi polynomials as \(su(2, 2)\) unitary irreducible representation. (English) Zbl 1439.17012

Kuru, Şengül (ed.) et al., Integrability, supersymmetry and coherent states. A volume in honour of Professor Véronique Hussin. In part selected contributions from the 6th international workshop on new challenges in quantum mechanics: integrability and supersymmetry, Valladolid, Spain, June 27–30, 2017. Cham: Springer. CRM Ser. Math. Phys., 267-283 (2019).
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Rates of convergence for empirical spectral measures: a soft approach. (English) Zbl 1376.15027

Carlen, Eric (ed.) et al., Convexity and concentration. New York, NY: Springer (ISBN 978-1-4939-7004-9/hbk; 978-1-4939-7005-6/ebook). The IMA Volumes in Mathematics and its Applications 161, 157-181 (2017).
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On high moments of strongly diluted large Wigner random matrices. (English) Zbl 1371.15038

Donati-Martin, Catherine (ed.) et al., Séminaire de probabilités XLVIII. Cham: Springer (ISBN 978-3-319-44464-2/pbk; 978-3-319-44465-9/ebook). Lecture Notes in Mathematics 2168. Séminaire de Probabilités, 347-399 (2016).
MSC:  15B52 60B20 15A18
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Replica theory and spin glasses. (English) Zbl 1351.82111

Krzakala, Florent (ed.) et al., Statistical physics, optimization, inference and message-passing algorithms. Lecture notes of the Les Houches School of Physics (École de Physique des Houches): special issue, Les Houches, France, September 30 – October 11, 2013. Oxford: Oxford University Press (ISBN 978-0-19-874373-6/hbk). 61-94 (2016).
MSC:  82D30 15A18 15B52
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The linear canonical transformation: definition and properties. (English) Zbl 1334.78004

Healy, John J. (ed.) et al., Linear canonical transforms. Theory and applications. New York, NY: Springer (ISBN 978-1-4939-3027-2/hbk; 978-1-4939-3028-9/ebook). Springer Series in Optical Sciences 198, 29-80 (2016).
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Spectral properties of Wigner matrices. (English) Zbl 1338.15072

Gayrard, Véronique (ed.) et al., Correlated random systems: five different methods. CIRM Jean-Morlet Chair, Marseille, France, spring 2013. Cham: Springer; Paris: Société Mathématique de France (SMF) (ISBN 978-3-319-17673-4/pbk; 978-3-319-17674-1/ebook). Lecture Notes in Mathematics 2143, 179-205 (2015).
MSC:  15B52 15A18 15-01
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Random matrices, log-gases and Hölder regularity. (English) Zbl 1373.15052

Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. III: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-806-3/hbk; 978-89-6105-803-2/set). 213-236 (2014).
MSC:  15B52 82B44 60B20
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Random matrices: the four-moment theorem for Wigner ensembles. (English) Zbl 1327.15075

Deift, Percy (ed.) et al., Random matrix theory, interacting particle systems and integrable systems. New York, NY: Cambridge University Press (ISBN 978-1-107-07992-2/hbk). Mathematical Sciences Research Institute Publications 65, 509-528 (2014).
MSC:  15B52 60B20
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How long does it take to compute the eigenvalues of a random symmetric matrix? (English) Zbl 1326.65050

Deift, Percy (ed.) et al., Random matrix theory, interacting particle systems and integrable systems. New York, NY: Cambridge University Press (ISBN 978-1-107-07992-2/hbk). Mathematical Sciences Research Institute Publications 65, 411-442 (2014).
MSC:  65F15 15B52 60B20
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Random matrices: The universality phenomenon for Wigner ensembles. (English) Zbl 1310.15077

Vu, Van H., Modern aspects of random matrix theory. Based on lectures delivered at the 2013 AMS short course on random matrices, San Diego, CA, USA, January 6–7, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9471-2/hbk). Proceedings of Symposia in Applied Mathematics 72, 121-172 (2014).
MSC:  15B52 60B20 60F05
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Lecture notes on the circular law. (English) Zbl 1310.15070

Vu, Van H., Modern aspects of random matrix theory. Based on lectures delivered at the 2013 AMS short course on random matrices, San Diego, CA, USA, January 6–7, 2013. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9471-2/hbk). Proceedings of Symposia in Applied Mathematics 72, 1-34 (2014).
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Skew information and uncertainty relation. (English) Zbl 1327.81085

Accardi, Luigi (ed.) et al., Quantum bio-informatics V. Proceedings of the 5th conference, QBIC 2011, Tokyo University of Science, Tokyo, Japan, March 7–12, 2011. Hackensack, NJ: World Scientific (ISBN 978-981-4460-01-9/hbk; 978-981-4460-03-3/ebook). QP-PQ: Quantum Probability and White Noise Analysis 30, 159-170 (2013).
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Universality for random matrices and log-gases. (English) Zbl 1291.15086

Jerison, David (ed.) et al., Current developments in mathematics 2012. Papers based on selected lectures given at the current development mathematics conference, Harvard University, Cambridge, MA, USA, November 2012. Somerville, MA: International Press (ISBN 978-1-57146-240-4/pbk). 59-132 (2013).
MSC:  15B52 60B20 82B44
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The semicircle law for matrices with dependent entries. (English) Zbl 1276.60022

Eichelsbacher, Peter (ed.) et al., Limit theorems in probability, statistics and number theory. In honor of Friedrich Götze on the occasion of his 60th birthday. Selected papers based on the presentations at the workshop, Bielefeld, Germany, August 4–6, 2011. Berlin: Springer (ISBN 978-3-642-36067-1/hbk; 978-3-642-36068-8/ebook). Springer Proceedings in Mathematics & Statistics 42, 277-294 (2013).
MSC:  60F05 60B20
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Moderate deviations for the determinant of Wigner matrices. (English) Zbl 1274.60019

Eichelsbacher, Peter (ed.) et al., Limit theorems in probability, statistics and number theory. In honor of Friedrich Götze on the occasion of his 60th birthday. Selected papers based on the presentations at the workshop, Bielefeld, Germany, August 4–6, 2011. Berlin: Springer (ISBN 978-3-642-36067-1/hbk; 978-3-642-36068-8/ebook). Springer Proceedings in Mathematics & Statistics 42, 253-275 (2013).
MSC:  60B20 60F10 15A18
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Jacobi and CMV matrices with coefficients of generalized bounded variation. (English) Zbl 1284.42081

Janas, Jan (ed.) et al., Operator methods in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP) 2010, Bedlewo, Poland. Basel: Birkhäuser (ISBN 978-3-0348-0530-8/hbk; 978-3-0348-0531-5/ebook). Operator Theory: Advances and Applications 227, 117-121 (2013).
MSC:  42C05 47B36
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Edge fluctuations of eigenvalues of Wigner matrices. (English) Zbl 1271.60014

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, 261-275 (2013).
MSC:  60B20 60F10 15A18
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Random matrices and orthogonal polynomials. (English) Zbl 1323.60014

Graczyk, Piotr (ed.) et al., Orthogonal families and semigroups in analysis and probability. Selected papers based on the presentations at the CIMPA workshop, Mérida, Venezuela, 2006. Paris: Société Mathématique de France (ISBN 978-2-85629-362-1/pbk). Séminaires et Congrès 25, 61-110 (2012).
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Universality of generalized Wigner matrices. (English) Zbl 1290.82018

Fröhlich, Jürg (ed.) et al., Quantum theory from small to large scales. École de Physique des Houches, Session XCV, 2–27 August 2010. Oxford: Oxford University Press (ISBN 978-0-19-965249-5/hbk). 675-691 (2012).
MSC:  82B44 81S30 15B52
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Spectral properties of large random matrices with independent entries. (English) Zbl 1262.60007

Bożejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. III: Papers presented at the 13th workshop, Bȩdlewo, Poland, July 11–17, 2010. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-15-7/pbk). Banach Center Publications 96, 115-134 (2012).
MSC:  60B20
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Wigner matrices. (English) Zbl 1236.15063

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, 433-451 (2011).
MSC:  15B52 15A18 60B20
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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).
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One more proof of the Erdős-Turán inequality, and an error estimate in Wigner’s law. (English) Zbl 1283.60028

Houdré, Christian (ed.) et al., Concentration, functional inequalities and isoperimetry. Mainly the proceedings of the international workshop on concentration, functional inequalities and isoperimetry, Florida Atlantic University, Boca Raton, FL, USA, October 29–November 1, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4971-2/pbk). Contemporary Mathematics 545, 69-75 (2011).
MSC:  60E15 60B10 60B20
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Universality of Wigner random matrices. (English) Zbl 1205.82080

Exner, Pavel (ed.), XVIth international congress on mathematical physics, Prague, Czech Republic, August 3–8, 2009. With DVD. Hackensack, NJ: World Scientific (ISBN 978-981-4304-62-7/hbk). 86-105 (2010).
MSC:  82B41 60J65 15B52
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Ensembles of Hermitian random matrices associated to symmetric spaces. (English) Zbl 1167.15310

Hilgert, Joachim (ed.) et al., Proceedings of the fourth German-Japanese symposium on infinite dimensional harmonic analysis IV. On the interplay between representation theory, random matrices, special functions, and probability, Tokyo, Japan, September 10–14, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-281-8/hbk). 291-307 (2009).
MSC:  15B52
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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
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Poisson statistics for the largest eigenvalues in random matrix ensembles. (English) Zbl 1169.15302

Asch, Joachim (ed.) et al., Mathematical physics of quantum mechanics. Selected and refereed lectures from the QMath9 conference, Giens, France, September 12–16, 2004. Berlin: Springer (ISBN 3-540-31026-6/hbk). Lecture Notes in Physics 690, 351-364 (2006).
MSC:  15B52 15A18
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Rooted trees and moments of large sparse random matrices. (English) Zbl 1037.15018

Branderier, Cyril (ed.) et al., Discrete random walks, DRW’03. Proceedings of the conference, Paris, France, September 1–5, 2003. Paris: Maison de l’Informatique et des Mathématiques Discrètes (MIMD). Discrete Math. Theor. Comput. Sci., Proc. AC, 145-154, electronic only (2003).
MSC:  15B52 05C80
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A brief introduction to random matrices. (English) Zbl 1009.81021

Casati, G. (ed.) et al., New directions in quantum chaos. Proceedings of course CXLIII (143) of the international school, Villa Monastero, Varenna on Lake Como, Italy, July 20-30, 1999. Amsterdam: IOS Press. 121-144 (2000).
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On the chiral WZNW phase space, exchange \(r\)-matrices and Poisson-Lie groupoids. (English) Zbl 0970.81068

Harnad, J. (ed.) et al., Integrable systems: from classical to quantum. Proceedings of the 38th session of the Séminaire de mathématiques supérieures, Montréal, Canada, July 26-August 6, 1999. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 26, 1-19 (2000).
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