Ilišević, Dijana; Omladič, Matjaž; Turnšek, Aleksej Phase-isometries between normed spaces. (English) Zbl 07312057 Linear Algebra Appl. 612, 99-111 (2021). Reviewer: Elói M. Galego (São Paulo) MSC: 39B52 46C50 46B03 46B04 47J05 53A20 PDF BibTeX XML Cite \textit{D. Ilišević} et al., Linear Algebra Appl. 612, 99--111 (2021; Zbl 07312057) Full Text: DOI
Tan, Dongni; Gao, Yueli Phase-isometries on the unit sphere of \(C(K)\). (English) Zbl 07296615 Ann. Funct. Anal. 12, No. 1, Paper No. 15, 14 p. (2021). MSC: 46B04 46B20 PDF BibTeX XML Cite \textit{D. Tan} and \textit{Y. Gao}, Ann. Funct. Anal. 12, No. 1, Paper No. 15, 14 p. (2021; Zbl 07296615) Full Text: DOI
Ilišević, Dijana; Turnšek, Aleksej On Wigner’s theorem in strictly convex normed spaces. (English) Zbl 07326473 Publ. Math. 97, No. 3-4, 393-401 (2020). MSC: 39B05 46C50 47J05 PDF BibTeX XML Cite \textit{D. Ilišević} and \textit{A. Turnšek}, Publ. Math. 97, No. 3--4, 393--401 (2020; Zbl 07326473) Full Text: DOI
Landsman, Klaas; Rang, Kitty (No) Wigner theorem for \(C^*\)-algebras. (English) Zbl 1454.81031 Rev. Math. Phys. 32, No. 7, Article ID 2050019, 39 p. (2020). MSC: 81P16 46L60 PDF BibTeX XML Cite \textit{K. Landsman} and \textit{K. Rang}, Rev. Math. Phys. 32, No. 7, Article ID 2050019, 39 p. (2020; Zbl 1454.81031) Full Text: DOI
Uhlig, Frank Coalescing eigenvalues and crossing eigencurves of 1-parameter matrix flows. (English) Zbl 07301498 SIAM J. Matrix Anal. Appl. 41, No. 4, 1528-1545 (2020). Reviewer: Wei-Ru Xu (Chengdu) MSC: 15A18 15B57 65F15 PDF BibTeX XML Cite \textit{F. Uhlig}, SIAM J. Matrix Anal. Appl. 41, No. 4, 1528--1545 (2020; Zbl 07301498) Full Text: DOI
Ji, Hong Chang; Lee, Ji Oon Gaussian fluctuations for linear spectral statistics of deformed Wigner matrices. (English) Zbl 07293113 Random Matrices Theory Appl. 9, No. 3, Article ID 2050011, 79 p. (2020). Reviewer: Fraser Daly (Edinburgh) MSC: 60B20 60F05 15B52 PDF BibTeX XML Cite \textit{H. C. Ji} and \textit{J. O. Lee}, Random Matrices Theory Appl. 9, No. 3, Article ID 2050011, 79 p. (2020; Zbl 07293113) Full Text: DOI
Ilišević, Dijana; Turnšek, Aleksej On Wigner’s theorem in smooth normed spaces. (English) Zbl 07286384 Aequationes Math. 94, No. 6, 1257-1267 (2020). MSC: 46B04 46C50 47J05 PDF BibTeX XML Cite \textit{D. Ilišević} and \textit{A. Turnšek}, Aequationes Math. 94, No. 6, 1257--1267 (2020; Zbl 07286384) Full Text: DOI
Gröchenig, Karlheinz; Jaming, Philippe; Malinnikova, Eugenia Zeros of the Wigner distribution and the short-time Fourier transform. (English) Zbl 07265764 Rev. Mat. Complut. 33, No. 3, 723-744 (2020). MSC: 42A38 42B10 81S30 PDF BibTeX XML Cite \textit{K. Gröchenig} et al., Rev. Mat. Complut. 33, No. 3, 723--744 (2020; Zbl 07265764) Full Text: DOI
Romanov, Elad; Gavish, Matan The noise-sensitivity phase transition in spectral group synchronization over compact groups. (English) Zbl 07242756 Appl. Comput. Harmon. Anal. 49, No. 3, 935-970 (2020). MSC: 65 93 PDF BibTeX XML Cite \textit{E. Romanov} and \textit{M. Gavish}, Appl. Comput. Harmon. Anal. 49, No. 3, 935--970 (2020; Zbl 07242756) Full Text: DOI
Pankov, Mark Orthogonality preserving transformations of Hilbert Grassmannians. (English) Zbl 07241916 Linear Algebra Appl. 605, 180-189 (2020). MSC: 46C05 47N50 81P10 81R15 PDF BibTeX XML Cite \textit{M. Pankov}, Linear Algebra Appl. 605, 180--189 (2020; Zbl 07241916) Full Text: DOI
Debrouwere, Andreas; Neyt, Lenny; Vindas, Jasson On the space of ultradistributions vanishing at infinity. (English) Zbl 1452.46026 Banach J. Math. Anal. 14, No. 3, 915-934 (2020). Reviewer: Antonio Galbis (Valencia) MSC: 46F05 42B10 46F12 81S30 PDF BibTeX XML Cite \textit{A. Debrouwere} et al., Banach J. Math. Anal. 14, No. 3, 915--934 (2020; Zbl 1452.46026) Full Text: DOI
Wang, Ruidong; Bugajewski, Dariusz On normed spaces with the Wigner property. (English) Zbl 1451.46014 Ann. Funct. Anal. 11, No. 3, 523-539 (2020). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 46B04 46B20 PDF BibTeX XML Cite \textit{R. Wang} and \textit{D. Bugajewski}, Ann. Funct. Anal. 11, No. 3, 523--539 (2020; Zbl 1451.46014) Full Text: DOI
Gehér, György Pál Symmetries of projective spaces and spheres. (English) Zbl 1437.81032 Int. Math. Res. Not. 2020, No. 7, 2205-2240 (2020). MSC: 81R05 46C05 51N15 51F25 20C35 PDF BibTeX XML Cite \textit{G. P. Gehér}, Int. Math. Res. Not. 2020, No. 7, 2205--2240 (2020; Zbl 1437.81032) Full Text: DOI
Tan, Dongni; Huang, Xujian Phase-isometries on real normed spaces. (English) Zbl 1454.46015 J. Math. Anal. Appl. 488, No. 1, Article ID 124058, 17 p. (2020). Reviewer: Johann Langemets (Tartu) MSC: 46B04 46B20 PDF BibTeX XML Cite \textit{D. Tan} and \textit{X. Huang}, J. Math. Anal. Appl. 488, No. 1, Article ID 124058, 17 p. (2020; Zbl 1454.46015) Full Text: DOI
Gu, Weichen; Wu, Wenming; Yuan, Wei Transition probability preserving maps on a Grassmann space in a semifinite factor. (English) Zbl 07181015 J. Math. Anal. Appl. 487, No. 1, Article ID 123957, 7 p. (2020). MSC: 46L53 46L36 PDF BibTeX XML Cite \textit{W. Gu} et al., J. Math. Anal. Appl. 487, No. 1, Article ID 123957, 7 p. (2020; Zbl 07181015) Full Text: DOI
Moylan, Patrick Applications of the fundamental theorems of projective and affine geometry in physics. (English) Zbl 1442.81032 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 181-187 (2019). MSC: 81R05 20C25 20C35 51A05 22E43 81R20 PDF BibTeX XML Cite \textit{P. Moylan}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 181--187 (2019; Zbl 1442.81032) Full Text: DOI
Dumitriu, Ioana The semicircle law and beyond: the shape of spectra of Wigner matrices. (English) Zbl 1434.60023 Borodin, Alexei (ed.) et al., Random matrices. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study (IAS). IAS/Park City Math. Ser. 26, 41-73 (2019). MSC: 60B20 60F05 15B52 PDF BibTeX XML Cite \textit{I. Dumitriu}, IAS/Park City Math. Ser. 26, 41--73 (2019; Zbl 1434.60023) Full Text: DOI
Amosov, G. G.; Korennoy, Ya. A. On definition of quantum tomography via the Sobolev embedding theorem. (English) Zbl 1430.81010 Lobachevskii J. Math. 40, No. 10, 1433-1439 (2019). MSC: 81P18 81S30 46E35 PDF BibTeX XML Cite \textit{G. G. Amosov} and \textit{Ya. A. Korennoy}, Lobachevskii J. Math. 40, No. 10, 1433--1439 (2019; Zbl 1430.81010) Full Text: DOI arXiv
Trifonov, E. D. Spin top (toward a theorem on the spin-statistics relation). (English. Russian original) Zbl 1427.81206 Theor. Math. Phys. 199, No. 3, 823-827 (2019); translation from Teor. Mat. Fiz. 199, No. 3, 399-404 (2019). MSC: 81V70 81R25 81S05 81S30 PDF BibTeX XML Cite \textit{E. D. Trifonov}, Theor. Math. Phys. 199, No. 3, 823--827 (2019; Zbl 1427.81206); translation from Teor. Mat. Fiz. 199, No. 3, 399--404 (2019) Full Text: DOI
Li, Yuanxia; Tan, Dongni Wigner’s theorem on the Tsirelson space \(T\). (English) Zbl 07126069 Ann. Funct. Anal. 10, No. 4, 515-524 (2019). MSC: 46B04 PDF BibTeX XML Cite \textit{Y. Li} and \textit{D. Tan}, Ann. Funct. Anal. 10, No. 4, 515--524 (2019; Zbl 07126069) Full Text: DOI Euclid
Cuesta, Javier; Wolf, Michael M. Are almost-symmetries almost linear? (English) Zbl 1421.81053 J. Math. Phys. 60, No. 8, 082101, 7 p. (2019). MSC: 81R05 81P05 81P16 PDF BibTeX XML Cite \textit{J. Cuesta} and \textit{M. M. Wolf}, J. Math. Phys. 60, No. 8, 082101, 7 p. (2019; Zbl 1421.81053) Full Text: DOI
Qian, Wenhua; Wang, Liguang; Wu, Wenming; Yuan, Wei Wigner-type theorem on transition probability preserving maps in semifinite factors. (English) Zbl 07011435 J. Funct. Anal. 276, No. 6, 1773-1787 (2019). MSC: 47B49 54E40 PDF BibTeX XML Cite \textit{W. Qian} et al., J. Funct. Anal. 276, No. 6, 1773--1787 (2019; Zbl 07011435) Full Text: DOI arXiv
Landsman, Klaas; Lindenhovius, Bert Symmetries in exact bohrification. (English) Zbl 1414.81028 Ozawa, Masanao (ed.) et al., Reality and measurement in algebraic quantum theory. NWW 2015, Nagoya, Japan, March 9–13, 2015. Selected papers based on presentations at the Nagoya winter workshop 2015: reality and measurement in algebraic quantum theory. Singapore: Springer. Springer Proc. Math. Stat. 261, 97-118 (2018). MSC: 81P05 46L05 46L60 17A15 06C15 PDF BibTeX XML Cite \textit{K. Landsman} and \textit{B. Lindenhovius}, Springer Proc. Math. Stat. 261, 97--118 (2018; Zbl 1414.81028) Full Text: DOI arXiv
Erdős, László; Schröder, Dominik Fluctuations of rectangular Young diagrams of interlacing Wigner eigenvalues. (English) Zbl 1407.60006 Int. Math. Res. Not. 2018, No. 10, 3255-3298 (2018). MSC: 60B20 60F05 PDF BibTeX XML Cite \textit{L. Erdős} and \textit{D. Schröder}, Int. Math. Res. Not. 2018, No. 10, 3255--3298 (2018; Zbl 1407.60006) Full Text: DOI
Diósi, Lajos Wick theorem for all orderings of canonical operators. (English) Zbl 1397.81119 J. Phys. A, Math. Theor. 51, No. 36, Article ID 365201, 11 p. (2018). MSC: 81T05 81S30 81U05 PDF BibTeX XML Cite \textit{L. Diósi}, J. Phys. A, Math. Theor. 51, No. 36, Article ID 365201, 11 p. (2018; Zbl 1397.81119) Full Text: DOI
Cohen, L. The hypervirial and viral theorems in terms of Weyl symbols. (English) Zbl 06939192 J. Pseudo-Differ. Oper. Appl. 9, No. 3, 469-486 (2018). MSC: 47G30 81S30 PDF BibTeX XML Cite \textit{L. Cohen}, J. Pseudo-Differ. Oper. Appl. 9, No. 3, 469--486 (2018; Zbl 06939192) Full Text: DOI
Huang, Xujian; Tan, Dongni Wigner’s theorem in atomic \(L_p\)-spaces (\(p > 0\)). (English) Zbl 1399.39052 Publ. Math. 92, No. 3-4, 411-418 (2018). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 39B52 46B04 PDF BibTeX XML Cite \textit{X. Huang} and \textit{D. Tan}, Publ. Math. 92, No. 3--4, 411--418 (2018; Zbl 1399.39052) Full Text: DOI
Jia, Weike; Tan, Dongni Wigner’s theorem in \({\mathcal{L}}^{\infty}(\Gamma)\)-type spaces. (English) Zbl 1398.46010 Bull. Aust. Math. Soc. 97, No. 2, 279-284 (2018). Reviewer: Lajos Molnár (Szeged) MSC: 46B04 46B25 PDF BibTeX XML Cite \textit{W. Jia} and \textit{D. Tan}, Bull. Aust. Math. Soc. 97, No. 2, 279--284 (2018; Zbl 1398.46010) Full Text: DOI
Pankov, Mark Geometric version of Wigner’s theorem for Hilbert Grassmannians. (English) Zbl 1396.46022 J. Math. Anal. Appl. 459, No. 1, 135-144 (2018). MSC: 46C05 PDF BibTeX XML Cite \textit{M. Pankov}, J. Math. Anal. Appl. 459, No. 1, 135--144 (2018; Zbl 1396.46022) Full Text: DOI arXiv
Toft, Joachim Matrix parameterized pseudo-differential calculi on modulation spaces. (English) Zbl 1390.35447 Oberguggenberger, Michael (ed.) et al., Generalized functions and Fourier analysis. Dedicated to Stevan Pilipović on the occasion of his 65th birthday. Contributions of the 8th, 9th and 10th ISAAC congresses, Moscow, Russia, 2011, Krakow, Poland, 2013 and Macau, China, 2015. Basel: Birkhäuser/Springer (ISBN 978-3-319-51910-4/hbk; 978-3-319-51911-1/ebook). Operator Theory: Advances and Applications 260. Advances in Partial Differential Equations, 215-235 (2017). MSC: 35S05 47G30 PDF BibTeX XML Cite \textit{J. Toft}, Oper. Theory: Adv. Appl. 260, 215--235 (2017; Zbl 1390.35447) Full Text: DOI arXiv
Harding, John Dynamics in the decompositions approach to quantum mechanics. (English) Zbl 1387.81233 Int. J. Theor. Phys. 56, No. 12, 3971-3990 (2017). MSC: 81R05 81P10 06C15 46L06 46L10 22E70 PDF BibTeX XML Cite \textit{J. Harding}, Int. J. Theor. Phys. 56, No. 12, 3971--3990 (2017; Zbl 1387.81233) Full Text: DOI
Aniello, Paolo; Chruściński, Dariusz Symmetry witnesses. (English) Zbl 1370.81085 J. Phys. A, Math. Theor. 50, No. 28, Article ID 285302, 16 p. (2017). MSC: 81R05 81P16 47B10 PDF BibTeX XML Cite \textit{P. Aniello} and \textit{D. Chruściński}, J. Phys. A, Math. Theor. 50, No. 28, Article ID 285302, 16 p. (2017; Zbl 1370.81085) Full Text: DOI
Barvínek, Jáchym; Hamhalter, Jan Linear algebraic proof of Wigner theorem and its consequences. (English) Zbl 1424.81005 Math. Slovaca 67, No. 2, 371-386 (2017). Reviewer: Lajos Molnár (Szeged) MSC: 81P45 15A86 PDF BibTeX XML Cite \textit{J. Barvínek} and \textit{J. Hamhalter}, Math. Slovaca 67, No. 2, 371--386 (2017; Zbl 1424.81005) Full Text: DOI
Cassinelli, Gianni; Lahti, Pekka An axiomatic basis for quantum mechanics. (English) Zbl 1368.81021 Found. Phys. 46, No. 10, 1341-1373 (2016). MSC: 81P05 81P10 03G12 06C15 81R05 PDF BibTeX XML Cite \textit{G. Cassinelli} and \textit{P. Lahti}, Found. Phys. 46, No. 10, 1341--1373 (2016; Zbl 1368.81021) Full Text: DOI
Pan, Guangming; Wang, Shaochen; Zhou, Wang Fluctuations of linear eigenvalues statistics for Wigner matrices: edge case. (English) Zbl 1367.15055 J. Stat. Phys. 165, No. 3, 507-520 (2016). MSC: 15B52 60F05 60F17 PDF BibTeX XML Cite \textit{G. Pan} et al., J. Stat. Phys. 165, No. 3, 507--520 (2016; Zbl 1367.15055) Full Text: DOI
Fakhri, Hossein; Nouraddini, Mojtaba From the Wigner-Eckart theorem to the Hilbert-Schmidt scalar product for an adjoint representation of the quantum algebra \(U_{p,q}(su_2)\). (English) Zbl 1359.17026 Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650127, 12 p. (2016). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 17B37 81R50 PDF BibTeX XML Cite \textit{H. Fakhri} and \textit{M. Nouraddini}, Int. J. Geom. Methods Mod. Phys. 13, No. 10, Article ID 1650127, 12 p. (2016; Zbl 1359.17026) Full Text: DOI
Łuczak, Andrzej Wigner-Araki-Yanase theorem in general theory of quantum measurement. (English) Zbl 1353.81018 Open Syst. Inf. Dyn. 23, No. 3, Article ID 1650013, 10 p. (2016). MSC: 81P15 81R05 46L07 46G10 PDF BibTeX XML Cite \textit{A. Łuczak}, Open Syst. Inf. Dyn. 23, No. 3, Article ID 1650013, 10 p. (2016; Zbl 1353.81018) Full Text: DOI
Bouzas, Antonio O. The Wigner-Eckart theorem for reducible symmetric Cartesian tensor operators. (English) Zbl 1351.81057 Rep. Math. Phys. 78, No. 1, 69-105 (2016). MSC: 81R05 81Q10 33C55 PDF BibTeX XML Cite \textit{A. O. Bouzas}, Rep. Math. Phys. 78, No. 1, 69--105 (2016; Zbl 1351.81057) Full Text: DOI
Fakhri, H.; Nouraddini, M. Right \(SU_q(2)\)- and left \(SU_{q^{-1}}(2)\)-invariances of the \(q\)-Hilbert-Schmidt scalar products for an adjoint representation of the quantum algebra \(\breve{U}_q(su_2)\). (English) Zbl 1364.57027 J. Geom. Phys. 110, 90-100 (2016). Reviewer: Vida Milani (North Logan) MSC: 57T05 16T05 17B37 81R50 PDF BibTeX XML Cite \textit{H. Fakhri} and \textit{M. Nouraddini}, J. Geom. Phys. 110, 90--100 (2016; Zbl 1364.57027) Full Text: DOI
Hannan, Tim; Harding, John Automorphisms of decompositions. (English) Zbl 1374.81006 Math. Slovaca 66, No. 2, 493-526 (2016). MSC: 81P10 06C15 08A35 05E99 51D20 PDF BibTeX XML Cite \textit{T. Hannan} and \textit{J. Harding}, Math. Slovaca 66, No. 2, 493--526 (2016; Zbl 1374.81006) Full Text: DOI arXiv
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
Berra-Montiel, Jasel; Molgado, Alberto; Palacios-García, César D. Causal Poisson bracket via deformation quantization. (English) Zbl 1346.53075 Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650104, 24 p. (2016). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D55 PDF BibTeX XML Cite \textit{J. Berra-Montiel} et al., Int. J. Geom. Methods Mod. Phys. 13, No. 7, Article ID 1650104, 24 p. (2016; Zbl 1346.53075) Full Text: DOI arXiv
Sarbicki, Gniewomir; Chruściński, Dariusz; Mozrzymas, Marek Generalising Wigner’s theorem. (English) Zbl 1345.81053 J. Phys. A, Math. Theor. 49, No. 30, Article ID 305302, 7 p. (2016). MSC: 81R05 81R15 46L60 PDF BibTeX XML Cite \textit{G. Sarbicki} et al., J. Phys. A, Math. Theor. 49, No. 30, Article ID 305302, 7 p. (2016; Zbl 1345.81053) Full Text: DOI arXiv
Trimborn, F.; Werner, R. F.; Witthaut, D. Quantum de Finetti theorems and mean-field theory from quantum phase space representations. (English) Zbl 1347.81057 J. Phys. A, Math. Theor. 49, No. 13, Article ID 135302, 28 p. (2016). Reviewer: Gert Roepstorff (Aachen) MSC: 81S30 81R30 81V70 82B26 60E05 PDF BibTeX XML Cite \textit{F. Trimborn} et al., J. Phys. A, Math. Theor. 49, No. 13, Article ID 135302, 28 p. (2016; Zbl 1347.81057) Full Text: DOI
Bao, Z.; Xie, J. CLT for linear spectral statistics of Hermitian Wigner matrices with general moment conditions. (English) Zbl 1381.60018 Theory Probab. Appl. 60, No. 2, 187-206 (2016) and Teor. Veroyatn. Primen. 60, No. 2, 311-332 (2015). MSC: 60B20 60F05 15B52 PDF BibTeX XML Cite \textit{Z. Bao} and \textit{J. Xie}, Theory Probab. Appl. 60, No. 2, 187--206 (2016; Zbl 1381.60018) Full Text: DOI
Duy, Trinh Khanh Central limit theorem for moments of spectral measures of Wigner matrices. (English) Zbl 1333.60028 Osaka J. Math. 53, No. 1, 141-160 (2016). MSC: 60F05 60B20 15B52 PDF BibTeX XML Cite \textit{T. K. Duy}, Osaka J. Math. 53, No. 1, 141--160 (2016; Zbl 1333.60028) Full Text: Euclid arXiv
Keller, Johannes; Lasser, Caroline; Ohsawa, Tomoki A new phase space density for quantum expectations. (English) Zbl 1332.81108 SIAM J. Math. Anal. 48, No. 1, 513-537 (2016). MSC: 81S30 81Q20 65D30 65Z05 PDF BibTeX XML Cite \textit{J. Keller} et al., SIAM J. Math. Anal. 48, No. 1, 513--537 (2016; Zbl 1332.81108) Full Text: DOI arXiv
Damnjanović, Milan; Milošević, Ivanka Full symmetry implementation in condensed matter and molecular physics-modified group projector technique. (English) Zbl 1357.81107 Phys. Rep. 581, 1-43 (2015). MSC: 81R05 20C35 PDF BibTeX XML Cite \textit{M. Damnjanović} and \textit{I. Milošević}, Phys. Rep. 581, 1--43 (2015; Zbl 1357.81107) Full Text: DOI
Gomez, Ignacio; Castagnino, Mario A quantum version of spectral decomposition theorem of dynamical systems, quantum chaos hierarchy: ergodic, mixing and exact. (English) Zbl 1351.37025 Chaos Solitons Fractals 70, 99-116 (2015). MSC: 37A30 37A50 81Q10 PDF BibTeX XML Cite \textit{I. Gomez} and \textit{M. Castagnino}, Chaos Solitons Fractals 70, 99--116 (2015; Zbl 1351.37025) Full Text: DOI arXiv
Fakhri, H.; Nouraddini, M. Scalar product for the tensor operators of the quantum algebra \(\breve{U}_{q}(\mathrm{su}_{2})\) by the Wigner-Eckart theorem. (English) Zbl 1329.81239 Int. J. Geom. Methods Mod. Phys. 12, No. 10, Article ID 1550107, 6 p. (2015). MSC: 81R50 17B37 22E70 16T05 46L60 47B10 PDF BibTeX XML Cite \textit{H. Fakhri} and \textit{M. Nouraddini}, Int. J. Geom. Methods Mod. Phys. 12, No. 10, Article ID 1550107, 6 p. (2015; Zbl 1329.81239) Full Text: DOI
Borisov, L. A.; Orlov, Yu. N. Analyzing the dependence of finite-fold approximations of the harmonic oscillator equilibrium density matrix and of the Wigner function on the quantization prescription. (English. Russian original) Zbl 1325.81076 Theor. Math. Phys. 184, No. 1, 986-995 (2015); translation from Teor. Mat. Fiz. 184, No. 1, 106-116 (2015). MSC: 81Q05 81S05 81S30 47D08 81Q10 PDF BibTeX XML Cite \textit{L. A. Borisov} and \textit{Yu. N. Orlov}, Theor. Math. Phys. 184, No. 1, 986--995 (2015; Zbl 1325.81076); translation from Teor. Mat. Fiz. 184, No. 1, 106--116 (2015) Full Text: DOI
Turnšek, Aleksej A variant of Wigner’s functional equation. (English) Zbl 1321.39025 Aequationes Math. 89, No. 4, 949-956 (2015). Reviewer: Peter P. Zabreĭko (Minsk) MSC: 39B05 46C05 46C50 47J05 PDF BibTeX XML Cite \textit{A. Turnšek}, Aequationes Math. 89, No. 4, 949--956 (2015; Zbl 1321.39025) Full Text: DOI
Sellaroli, Giuseppe Wigner-Eckart theorem for the non-compact algebra \(\mathfrak{sl}(2,\mathbb{R})\). (English) Zbl 1315.81050 J. Math. Phys. 56, No. 4, 041701, 19 p. (2015). Reviewer: Dmitri Artamonov (Moskva) MSC: 81R05 17B81 22E43 22E70 PDF BibTeX XML Cite \textit{G. Sellaroli}, J. Math. Phys. 56, No. 4, 041701, 19 p. (2015; Zbl 1315.81050) Full Text: DOI arXiv
Hoover, William Graham; Hoover, Carol Griswold Simulation and control of chaotic nonequilibrium systems. With a foreword by Julien Clinton Sprott. (English) Zbl 1327.80001 Advanced Series in Nonlinear Dynamics 27. Hackensack, NJ: World Scientific (ISBN 978-981-4656-82-5/hbk). xxvii, 295 p. (2015). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 80-02 80A10 80A17 00A79 PDF BibTeX XML Cite \textit{W. G. Hoover} and \textit{C. G. Hoover}, Simulation and control of chaotic nonequilibrium systems. With a foreword by Julien Clinton Sprott. Hackensack, NJ: World Scientific (2015; Zbl 1327.80001) Full Text: DOI
Simon, R.; Mukunda, N.; Chaturvedi, S.; Srinivasan, V.; Hamhalter, J. Comment on: “Two elementary proofs of the Wigner theorem on symmetry in quantum mechanics”. (English) Zbl 1331.81139 Phys. Lett., A 378, No. 30-31, 2332-2335 (2014). MSC: 81R05 81P16 81P05 46C05 70H33 PDF BibTeX XML Cite \textit{R. Simon} et al., Phys. Lett., A 378, No. 30--31, 2332--2335 (2014; Zbl 1331.81139) Full Text: DOI
Gehér, György Pál An elementary proof for the non-bijective version of Wigner’s theorem. (English) Zbl 1331.46066 Phys. Lett., A 378, No. 30-31, 2054-2057 (2014). MSC: 46N50 46C05 PDF BibTeX XML Cite \textit{G. P. Gehér}, Phys. Lett., A 378, No. 30--31, 2054--2057 (2014; Zbl 1331.46066) Full Text: DOI arXiv
Tao, Terence; Vu, Van 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). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 15B52 60B20 PDF BibTeX XML Cite \textit{T. Tao} and \textit{V. Vu}, Math. Sci. Res. Inst. Publ. 65, 509--528 (2014; Zbl 1327.15075) Full Text: arXiv
Tao, Terence; Vu, Van 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 PDF BibTeX XML Cite \textit{T. Tao} and \textit{V. Vu}, Proc. Symp. Appl. Math. 72, 121--172 (2014; Zbl 1310.15077) Full Text: arXiv
Xie, Junshan Gaussian fluctuation for linear eigenvalue statistics of large dilute Wigner matrices. (English) Zbl 1309.60015 Sci. China, Math. 57, No. 6, 1221-1236 (2014). MSC: 60F05 60B20 62H10 PDF BibTeX XML Cite \textit{J. Xie}, Sci. China, Math. 57, No. 6, 1221--1236 (2014; Zbl 1309.60015) Full Text: DOI
Bose, Arup; Mukherjee, Soumendu Sundar Bulk behavior of Schur-Hadamard products of symmetric random matrices. (English) Zbl 1306.15032 Random Matrices Theory Appl. 3, No. 2, Article ID 1450007, 25 p. (2014). Reviewer: Costică Moroşanu (Iaşi) MSC: 15B52 60B20 60B10 60F99 15B05 PDF BibTeX XML Cite \textit{A. Bose} and \textit{S. S. Mukherjee}, Random Matrices Theory Appl. 3, No. 2, Article ID 1450007, 25 p. (2014; Zbl 1306.15032) Full Text: DOI arXiv
Nourdin, Ivan; Taqqu, Murad S. Central and non-central limit theorems in a free probability setting. (English) Zbl 1314.46077 J. Theor. Probab. 27, No. 1, 220-248 (2014). MSC: 46L54 60H05 60H07 60F05 PDF BibTeX XML Cite \textit{I. Nourdin} and \textit{M. S. Taqqu}, J. Theor. Probab. 27, No. 1, 220--248 (2014; Zbl 1314.46077) Full Text: DOI
Ascensi, Gerard; Feichtinger, Hans G.; Kaiblinger, Norbert Dilation of the Weyl symbol and Balian-low theorem. (English) Zbl 1298.47059 Trans. Am. Math. Soc. 366, No. 7, 3865-3880 (2014). Reviewer: Jakob Lemvig (Kgs. Lyngby) MSC: 47G30 42C15 81S30 PDF BibTeX XML Cite \textit{G. Ascensi} et al., Trans. Am. Math. Soc. 366, No. 7, 3865--3880 (2014; Zbl 1298.47059) Full Text: DOI
Mouchet, Amaury An alternative proof of Wigner theorem on quantum transformations based on elementary complex analysis. (English) Zbl 1301.81061 Phys. Lett., A 377, No. 39, 2709-2711 (2013). MSC: 81Q10 47N50 PDF BibTeX XML Cite \textit{A. Mouchet}, Phys. Lett., A 377, No. 39, 2709--2711 (2013; Zbl 1301.81061) Full Text: DOI
Haken, Hermann Quantum Bayes’ theorem. (English) Zbl 1295.81017 Nonlinear Phenom. Complex Syst., Minsk 16, No. 2, 181-182 (2013). MSC: 81P10 03G12 81S30 PDF BibTeX XML Cite \textit{H. Haken}, Nonlinear Phenom. Complex Syst., Minsk 16, No. 2, 181--182 (2013; Zbl 1295.81017) Full Text: Link
Liberalquino, Rafael; Parisio, Fernando Semiclassical Ehrenfest paths. (English) Zbl 1292.81090 Phys. Lett., A 377, No. 19-20, 1333-1336 (2013). MSC: 81S30 81Q20 81Q05 70H05 PDF BibTeX XML Cite \textit{R. Liberalquino} and \textit{F. Parisio}, Phys. Lett., A 377, No. 19--20, 1333--1336 (2013; Zbl 1292.81090) Full Text: DOI
Baker, David John; Halvorson, Hans How is spontaneous symmetry breaking possible? Understanding Wigner’s theorem in light of unitary inequivalence. (English) Zbl 1281.81046 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 44, No. 4, 464-469 (2013). MSC: 81R40 81T05 81R05 00A79 PDF BibTeX XML Cite \textit{D. J. Baker} and \textit{H. Halvorson}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 44, No. 4, 464--469 (2013; Zbl 1281.81046) Full Text: DOI arXiv
Lytova, A. On non-Gaussian limiting laws for certain statistics of Wigner matrices. (English) Zbl 1296.60058 J. Math. Phys. Anal. Geom. 9, No. 4, 536-581 (2013). MSC: 60F05 15A18 60B20 PDF BibTeX XML Cite \textit{A. Lytova}, J. Math. Phys. Anal. Geom. 9, No. 4, 536--581 (2013; Zbl 1296.60058)
Boggiatto, P.; De Donno, G.; Oliaro, A. Hudson’s theorem for \(\tau\)-Wigner transforms. (English) Zbl 1287.42007 Bull. Lond. Math. Soc. 45, No. 6, 1131-1147 (2013). Reviewer: A. Turan Gürkanlı (Istanbul) MSC: 42B10 44A15 47G30 PDF BibTeX XML Cite \textit{P. Boggiatto} et al., Bull. Lond. Math. Soc. 45, No. 6, 1131--1147 (2013; Zbl 1287.42007) Full Text: DOI
Döring, Hanna; Eichelsbacher, Peter Moderate deviations for the eigenvalue counting function of Wigner matrices. (English) Zbl 1277.60014 ALEA, Lat. Am. J. Probab. Math. Stat. 10, No. 1, 27-44 (2013). MSC: 60B20 60F10 15A18 PDF BibTeX XML Cite \textit{H. Döring} and \textit{P. Eichelsbacher}, ALEA, Lat. Am. J. Probab. Math. Stat. 10, No. 1, 27--44 (2013; Zbl 1277.60014) Full Text: Link arXiv
Freed, Daniel S.; Moore, Gregory W. Twisted equivariant matter. (English) Zbl 1286.81109 Ann. Henri Poincaré 14, No. 8, 1927-2023 (2013). Reviewer: Dmitri Artamonov (Moscow) MSC: 81R20 81R05 20G45 20C25 20C35 PDF BibTeX XML Cite \textit{D. S. Freed} and \textit{G. W. Moore}, Ann. Henri Poincaré 14, No. 8, 1927--2023 (2013; Zbl 1286.81109) Full Text: DOI arXiv
Bourguin, Solesne; Breton, Jean-Christophe Asymptotic Cramér type decomposition for Wiener and Wigner integrals. (English) Zbl 1274.60059 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 1, Article ID 1350005, 13 p. (2013). MSC: 60F05 60H05 46L54 PDF BibTeX XML Cite \textit{S. Bourguin} and \textit{J.-C. Breton}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 1, Article ID 1350005, 13 p. (2013; Zbl 1274.60059) Full Text: DOI
Döring, Hanna; Eichelsbacher, Peter 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 PDF BibTeX XML Cite \textit{H. Döring} and \textit{P. Eichelsbacher}, in: 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. 253--275 (2013; Zbl 1274.60019) Full Text: DOI arXiv
Döring, Hanna; Eichelsbacher, Peter 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 PDF BibTeX XML Cite \textit{H. Döring} and \textit{P. Eichelsbacher}, Prog. Probab. 66, 261--275 (2013; Zbl 1271.60014) Full Text: DOI arXiv
Bao, Zhigang; Pan, Guangming; Zhou, Wang Central limit theorem for partial linear eigenvalue statistics of Wigner matrices. (English) Zbl 1259.82048 J. Stat. Phys. 150, No. 1, 88-129 (2013). MSC: 82B44 60F05 15B52 60B20 15A18 PDF BibTeX XML Cite \textit{Z. Bao} et al., J. Stat. Phys. 150, No. 1, 88--129 (2013; Zbl 1259.82048) Full Text: DOI arXiv
Gröchenig, Karlheinz; Malinnikova, Eugenia Phase space localization of Riesz bases for \(L^2(\mathbb{R}^d)\). (English) Zbl 1262.81081 Rev. Mat. Iberoam. 29, No. 1, 115-134 (2013). MSC: 81S30 81S05 42C15 PDF BibTeX XML Cite \textit{K. Gröchenig} and \textit{E. Malinnikova}, Rev. Mat. Iberoam. 29, No. 1, 115--134 (2013; Zbl 1262.81081) Full Text: DOI arXiv
Orlov, Yu. N.; Sakbaev, V. Zh.; Smolyanov, O. G. Rate of convergence of Feynman approximations of semigroups generated by the oscillator Hamiltonian. (English. Russian original) Zbl 1280.81046 Theor. Math. Phys. 172, No. 1, 987-1000 (2012); translation from Teor. Mat. Fiz. 172, No. 1, 122-137 (2012). MSC: 81Q05 81S05 81S30 47D08 PDF BibTeX XML Cite \textit{Yu. N. Orlov} et al., Theor. Math. Phys. 172, No. 1, 987--1000 (2012; Zbl 1280.81046); translation from Teor. Mat. Fiz. 172, No. 1, 122--137 (2012) Full Text: DOI
Abramsky, Samson Big toy models. Representing physical systems as Chu spaces. (English) Zbl 1275.81008 Synthese 186, No. 3, 697-718 (2012). MSC: 81P10 03G30 81P16 PDF BibTeX XML Cite \textit{S. Abramsky}, Synthese 186, No. 3, 697--718 (2012; Zbl 1275.81008) Full Text: DOI arXiv
He, Kan; Hou, Jinchuan A generalization of Uhlhorn’s version of Wigner’s theorem. (English) Zbl 1265.81014 J. Math. Study 45, No. 2, 107-114 (2012). MSC: 81Q10 47N50 PDF BibTeX XML Cite \textit{K. He} and \textit{J. Hou}, J. Math. Study 45, No. 2, 107--114 (2012; Zbl 1265.81014)
Freed, Daniel S. On Wigner’s theorem. (English) Zbl 1259.81033 Kirby, Rob (ed.) et al., Proceedings of the Freedman Fest. Based on the conference on low-dimensional manifolds and high-dimensional categories, Berkeley, CA, USA, June 6–10, 2011 and the Freedman symposium, Santa Barbara, CA, USA, April 15–17, 2011 dedicated to Mike Freedman on the occasion of his 60th birthday. Coventry: Geometry & Topology Publications. Geometry and Topology Monographs 18, 83-89 (2012). MSC: 81R20 51N15 51N35 81R05 81P16 20C25 14N05 PDF BibTeX XML Cite \textit{D. S. Freed}, Geom. Topol. Monogr. 18, 83--89 (2012; Zbl 1259.81033) Full Text: DOI arXiv
Maksa, Gyula; Páles, Zsolt Wigner’s theorem revisited. (English) Zbl 1299.39017 Publ. Math. 81, No. 1-2, 243-249 (2012). Reviewer: Stefan Czerwik (Gliwice) MSC: 39B52 PDF BibTeX XML Cite \textit{G. Maksa} and \textit{Z. Páles}, Publ. Math. 81, No. 1--2, 243--249 (2012; Zbl 1299.39017) Full Text: DOI arXiv
Kemp, Todd; Nourdin, Ivan; Peccati, Giovanni; Speicher, Roland Wigner chaos and the fourth moment. (English) Zbl 1277.46033 Ann. Probab. 40, No. 4, 1577-1635 (2012). Reviewer: Isamu Dôku (Saitama) MSC: 46L54 60H07 60H30 PDF BibTeX XML Cite \textit{T. Kemp} et al., Ann. Probab. 40, No. 4, 1577--1635 (2012; Zbl 1277.46033) Full Text: DOI Euclid arXiv
Tao, Terence; Vu, Van Random matrices: universal properties of eigenvectors. (English) Zbl 1248.15031 Random Matrices Theory Appl. 1, No. 1, 1150001, 27 p. (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 15B52 60B20 15A18 PDF BibTeX XML Cite \textit{T. Tao} and \textit{V. Vu}, Random Matrices Theory Appl. 1, No. 1, 1150001, 27 p. (2012; Zbl 1248.15031) Full Text: DOI arXiv
Tao, Terence; Vu, Van Random covariance matrices: universality of local statistics of eigenvalues. (English) Zbl 1247.15036 Ann. Probab. 40, No. 3, 1285-1315 (2012). Reviewer: Václav Burjan (Praha) MSC: 15B52 62J10 60B20 PDF BibTeX XML Cite \textit{T. Tao} and \textit{V. Vu}, Ann. Probab. 40, No. 3, 1285--1315 (2012; Zbl 1247.15036) Full Text: DOI Euclid 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 PDF BibTeX XML Cite \textit{T. Tao}, Topics in random matrix theory. Providence, RI: American Mathematical Society (AMS) (2012; Zbl 1256.15020)
Bai, Z. D.; Pan, G. M. Limiting behavior of eigenvectors of large Wigner matrices. (English) Zbl 1235.82035 J. Stat. Phys. 146, No. 3, 519-549 (2012). MSC: 82B44 15B52 60F05 PDF BibTeX XML Cite \textit{Z. D. Bai} and \textit{G. M. Pan}, J. Stat. Phys. 146, No. 3, 519--549 (2012; Zbl 1235.82035) Full Text: DOI
Musha, Takaaki Wigner distribution analysis applied to the number theory. (English) Zbl 1267.11099 Pioneer J. Algebra Number Theory Appl. 1, No. 1, 23-32 (2011). MSC: 11M41 11N05 44A15 94A12 PDF BibTeX XML Cite \textit{T. Musha}, Pioneer J. Algebra Number Theory Appl. 1, No. 1, 23--32 (2011; Zbl 1267.11099) Full Text: Link
He, Kan; Hou, Jinchuan A generalization of Wigner’s theorem. (Chinese. English summary) Zbl 1265.81013 Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 6, 1633-1636 (2011). MSC: 81Q10 47N50 PDF BibTeX XML Cite \textit{K. He} and \textit{J. Hou}, Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 6, 1633--1636 (2011; Zbl 1265.81013)
Wu, Biao; Zhang, Qi; Liu, Jie Anomalous monopoles of an interacting boson system. (English) Zbl 1241.82052 Phys. Lett., A 375, No. 3, 545-548 (2011). MSC: 82C22 81Q20 81V25 PDF BibTeX XML Cite \textit{B. Wu} et al., Phys. Lett., A 375, No. 3, 545--548 (2011; Zbl 1241.82052) Full Text: DOI
Shcherbina, M. Central limit theorem for linear eigenvalue statistics of the Wigner and sample covariance random matrices. (English) Zbl 1228.15016 J. Math. Phys. Anal. Geom. 7, No. 2, 176-192 (2011). Reviewer: Martín Argerami (Regina) MSC: 15B52 15A18 60B20 60F05 15B57 PDF BibTeX XML Cite \textit{M. Shcherbina}, J. Math. Phys. Anal. Geom. 7, No. 2, 176--192 (2011; Zbl 1228.15016)
Kauffmann, Steven Kenneth Unambiguous quantization from the maximum classical correspondence that is self-consistent: the slightly stronger canonical commutation rule Dirac missed. (English) Zbl 1214.81117 Found. Phys. 41, No. 5, 805-819 (2011). MSC: 81S05 81S40 81S30 PDF BibTeX XML Cite \textit{S. K. Kauffmann}, Found. Phys. 41, No. 5, 805--819 (2011; Zbl 1214.81117) Full Text: DOI
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 PDF BibTeX XML Cite \textit{T. Tao} and \textit{V. Vu}, Acta Math. 206, No. 1, 127--204 (2011; Zbl 1217.15043) Full Text: DOI arXiv
Hudson, R. Quantum Bochner theorems and incompatible observables. (English) Zbl 1219.81175 Kybernetika 46, No. 6, 1061-1068 (2010). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 81S30 60B15 PDF BibTeX XML Cite \textit{R. Hudson}, Kybernetika 46, No. 6, 1061--1068 (2010; Zbl 1219.81175) Full Text: Link EuDML
Oka, Yasuyuki On the Weyl transform with symbol in the Gel’fand-Shilov space and its dual space. (English) Zbl 1225.46038 Cubo 12, No. 3, 241-253 (2010). Reviewer: Dohan Kim (Seoul) MSC: 46F12 46F05 46F15 PDF BibTeX XML Cite \textit{Y. Oka}, Cubo 12, No. 3, 241--253 (2010; Zbl 1225.46038) Full Text: DOI
Kok, Pieter; Lovett, Brendon W. Introduction to optical quantum information processing. (English) Zbl 1228.81003 Cambridge: Cambridge University Press (ISBN 978-0-521-51914-4/hbk; 978-0-511-77099-9/ebook). xii, 488 p. (2010). Reviewer: Eugene Kryachko (Liège) MSC: 81-01 81P45 81P68 81V45 81S30 81P94 81V80 PDF BibTeX XML Cite \textit{P. Kok} and \textit{B. W. Lovett}, Introduction to optical quantum information processing. Cambridge: Cambridge University Press (2010; Zbl 1228.81003)
Anderson, Greg W.; Guionnet, Alice; Zeitouni, Ofer An introduction to random matrices. (English) Zbl 1184.15023 Cambridge Studies in Advanced Mathematics 118. Cambridge: Cambridge University Press (ISBN 978-0-521-19452-5/hbk). xiv, 492 p. (2010). Reviewer: Václav Burjan (Praha) MSC: 15-01 15B52 15A18 60B20 PDF BibTeX XML Cite \textit{G. W. Anderson} et al., An introduction to random matrices. Cambridge: Cambridge University Press (2010; Zbl 1184.15023) Backlinks: MO
Du, Hai; Cao, Huaixin Some remarks on Wigner’s theorem. (Chinese. English summary) Zbl 1212.47123 Basic Sci. J. Text. Univ. 22, No. 3, 346-348 (2009). MSC: 47N50 81Q10 PDF BibTeX XML Cite \textit{H. Du} and \textit{H. Cao}, Basic Sci. J. Text. Univ. 22, No. 3, 346--348 (2009; Zbl 1212.47123)
Wang, Tong-Tong; Fan, Hong-Yi Application of Fourier slice theorem in Wigner operator theory and new complete representation. (English) Zbl 1183.81103 Commun. Theor. Phys. 52, No. 5, 829-831 (2009). MSC: 81S30 PDF BibTeX XML Cite \textit{T.-T. Wang} and \textit{H.-Y. Fan}, Commun. Theor. Phys. 52, No. 5, 829--831 (2009; Zbl 1183.81103) Full Text: DOI
Bai, Zhidong; Wang, Xiaoying; Zhou, Wang CLT for linear spectral statistics of Wigner matrices. (English) Zbl 1188.15032 Electron. J. Probab. 14, 2391-2417 (2009). MSC: 15B52 60F05 60G15 PDF BibTeX XML Cite \textit{Z. Bai} et al., Electron. J. Probab. 14, 2391--2417 (2009; Zbl 1188.15032) Full Text: DOI EMIS EuDML
Chatterjee, Sourav Fluctuations of eigenvalues and second order Poincaré inequalities. (English) Zbl 1152.60024 Probab. Theory Relat. Fields 143, No. 1-2, 1-40 (2009). MSC: 60F05 15B52 60E15 PDF BibTeX XML Cite \textit{S. Chatterjee}, Probab. Theory Relat. Fields 143, No. 1--2, 1--40 (2009; Zbl 1152.60024) Full Text: DOI arXiv
Fan, Hong-Yi; Hao, Ren; Lu, Hai-Liang Convolution theorem of fractional Fourier transformation derived by representation transformation in quantum mechancis. (English) Zbl 1392.42004 Commun. Theor. Phys. 50, No. 3, 611-614 (2008). MSC: 42A38 81S30 PDF BibTeX XML Cite \textit{H.-Y. Fan} et al., Commun. Theor. Phys. 50, No. 3, 611--614 (2008; Zbl 1392.42004) Full Text: DOI