Fetching the paper…
Reading the bibliography…
We study the singular values of the product of two coupled rectangular random matrices as a determinantal point process.
Harish-Chandra. Differential operators on a semisimple Lie algebra, Am. J. Math. 79 (1957) 87-120
1957
Earlier work this paper cites.
Furstenberg, F.; Kesten, H. Products of random matrices. Ann. Math. Stat. 31
1960
Earlier work this paper cites.
Luke, Y.L. The special functions and their approximations. Academic Press, New York 1969
1969
Earlier work this paper cites.
Itzykson C. and Zuber, J.B. The Planar Approximation. 2, J. Math. Phys. 21 (1980) 411
1980
Earlier work this paper cites.
Its, A.R.; Isergin, A.G.; Korepin, V.E.; Slavnov, N.A. Differential equations for quantum correlation functions. Int. J. Mod. Phys. B 4 (1990) 1003–1037
1990
Earlier work this paper cites.
Leutwyler H. and Smilga, A. Spectrum of Dirac operator and role of winding number in QCD. Phys. Rev. D 46 (1992) 5607
1992
Earlier work this paper cites.
Crisanti, A.; Paladin, G.; Vulpiani, A. Products of Random Matrices. Springer, Heidelberg, 1993
1993
Earlier work this paper cites.
Gradshteyn, I.S.; Ryzhik, I.M. Table of Integrals, Series, and Products. A. Jeffrey and D. Zwillinger (eds.). Fifth edition (January 1994)
1994
Earlier work this paper cites.
Borodin, A. Biorthogonal ensembles. Nuclear Phys. B 536 (1999), no. 3, 704-732
1999
Earlier work this paper cites.
Deift, P.A. Integrable operators. In: V. Buslaev, M. Solomyak, D. Yafaev (eds.) Differential operators and spectral theory: M. Sh. Birman’s 70th anniversary collection. American Mathematical Society Translations, ser. 2, 189, Providence, R.I., (1999)
1999
Earlier work this paper cites.
Balantekin, A.B., Character Expansions, Itzykson-Zuber Integrals, and the QCD Partition Function. Phys. Rev. D 62 (2000) 085017
2000
Earlier work this paper cites.
2000
Earlier work this paper cites.
Temme, N. Large parameter cases of the Gauss hypergeometric function. J. Comp. Appl. Math. 153 (2003) 441-462
2003
Earlier work this paper cites.
Osborn, J.C. Universal results from an alternate random matrix model for QCD with a baryon chemical potential. Phys. Rev. Lett. 93 (2004) 222001
2004
Cited alongside, same era.
Alexeev, N.; G o ¨ \ddot{\mbox{o}} tze, F.; Tikhomirov, A. Asymptotic distribution of singular values of powers of random matrices. Lith. Math. J. 50 (2010), no. 2, 121-132
2010
Cited alongside, same era.
Anderson, G.W.; Guionnet, A.; Zeitouni, O. An introduction to random matrices. Cambridge Studies in Advanced Mathematics, 118. Cambridge University Press, Cambridge, 2010
2010
Cited alongside, same era.
Burda, Z.; Janik, R. A.; Waclaw, B. Spectrum of the product of independent random Gaussian matrices. Phys. Rev. E 81 (2010), no. 4, 041132
2010
Cited alongside, same era.
Forrester, P.J. Log-gases and random matrices. London Mathematical Society Monographs Series, 34. Princeton University Press, Princeton, NJ, 2010
Akemann, G.; Ipsen, J.; Kieburg M. Products of rectangular random matrices: singular values and progressive scattering. Phys. Rev. E 88 (2013) 052118
2013
Later among the works it cites.
Akemann, G.; Kieburg M.; Wei, L. Singular value correlation functions for products of Wishart random matrices. J. Phys. A. 46 (2013) 275205
2013
Later among the works it cites.
Akemann, G.; Strahov, E. Hole probabilities and overcrowding estimates for products of complex Gaussian matrices. J. Stat. Phys. 151(2013) 987-1003
2013
Later among the works it cites.
Akemann, G.; Ipsen, J.R.; Strahov, E. Permanental processes from products of complex and quaternionic induced Ginibre ensembles. Random Matrices: Th. Appl. 3 (2014), no. 4, 1450014
2014
Later among the works it cites.
Bertola, M.; Gekhtman, M.; Szmigielski, J. Cauchy-Laguerre two-matrix model and the Meijer-G random point field. Comm. Math. Phys. 326 (2014), no. 1, 111-144
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2010
Cited alongside, same era.
Olver, F.W.L et al. (eds.), NIST Handbook of Mathematical Functions. Cambridge University Press, Cambridge 2010
2010
Cited alongside, same era.
Akemann, G.; Baik, J.; DiFrancesco, P. (eds.) The Oxford Handbook of Random Matrix Theory, Oxford University Press, Oxford, 2011
2011
Cited alongside, same era.
Kanazawa, T.; Wettig, T.; Yamamoto, N. Singular values of the Dirac operator in dense QCD-like theories. JHEP 12 (2011) 007
2011
Cited alongside, same era.
Penson, K.A.; Zyczkowski, K. Product of Ginibre matrices: Fuss-Catalan and Raney distributions. Phys. Rev. E 83 (2011) 061118
2011
Cited alongside, same era.
O’Rourke, S.; Soshnikov, A. Products of independent non-Hermitian random matrices. Electron. J. Probab. 16 (2011), no. 81, 2219-2245
2011
Cited alongside, same era.
Akemann, G.; Burda, Z. Universal microscopic correlation functions for products of independent Ginibre matrices. J. Phys. A: Math. Theor. 45 (2012) 465201
2012
Cited alongside, same era.
Fischmann, J.; Bruzda, W.; Khoruzhenko, B.A.; Sommers, H.-J.; Zyczkowski, K. Induced Ginibre ensemble of random matrices and quantum operations. J. Phys. A 45 (2012), no. 7, 075203
2012
Cited alongside, same era.
2014
Later among the works it cites.
Forrester, P.J. Eigenvalue statistics for product complex Wishart matrices. J. Phys. A 47 (2014), no. 34, 345202
2014
Later among the works it cites.
Ipsen, J.R.; Kieburg, M. Weak Commutation Relations and Eigenvalue Statistics for Products of Rectangular Random Matrices. Phys. Rev. E 89 (2014), 032106
2014
Later among the works it cites.
Kanazawa, T.; Wettig, T. Stressed Cooper pairing in QCD at high isospin density: effective Lagrangian and random matrix theory. JHEP 10 (2014) 055
2014
Later among the works it cites.
Kuijlaars, A.B.J.; Stivigny, D. Singular values of products of random matrices and polynomial ensembles. Random Matrices: Th. Appl. 03 (2014) 1450011
2014
Later among the works it cites.
Kuijlaars, A B.J.; Zhang, L. Singular values of products of Ginibre random matrices, multiple orthogonal polynomials and hard edge scaling limits. Comm. Math. Phys. 332 (2014) 759–781
2014
Later among the works it cites.
Strahov, E. Differential equations for singular values of products of Ginibre random matrices. J. Phys. A 47 (2014), no. 32, 325203
2014
Later among the works it cites.
Müller, R.R. On the asymptotic eigenvalue distribution of concatenated vector-valued fading channels. IEEE Trans. Inf. Theor. Vol. 48 No. 7 (2002) 2086-2091
2091
Closest in time.