Fetching the paper…
Reading the bibliography…
It was proved by Akemann, Ipsen and Kieburg that squared singular values of products of $M$ complex Ginibre random matrices form a determinantal point process whose correlation kernel is expressible in terms of Meijer's $G$-functions.
Luke, Y. L. The special functions and their approximations. Academic Press, New York 1969
1969
Earlier work this paper cites.
Jimbo, M.; Miwa, T.; M o ^ \hat{\mbox{o}} ri, Y.; Sato, M. Density matrix of an impenetrable Bose gas and the fifth Painlev e ´ \acute{\mbox{e}} transcendent. Phys. D 1 (1980), no. 1, 80-158
1980
Earlier work this paper cites.
Jimbo, M.; Miwa, T.; Ueno, K. Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. I. General theory and τ \tau -function. Phys. D 2 (1981), no. 2, 306-352
1981
Earlier work this paper cites.
Jimbo, M.; Miwa, T. Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. II. Phys. D 2 (1981), no. 3, 407-448
1981
Earlier work this paper cites.
Its, A. R.; Isergin, A. G.; Korepin, V. E.; Slavnov, N. A. Differential equations for quantum correlation functions. Intern. J. Mod. Phys., B4 (1990), 1003–1037
1990
Earlier work this paper cites.
Harnad, J.; Tracy, C. A.; Widom, H. Hamiltonian structure of equations appearing in random matrices. Low-dimensional topology and quantum field theory (Cambridge, 1992), 231-245, NATO Adv. Sci. Inst. Ser. B Phys., 315, Plenum, New York, 1993
1993
Earlier work this paper cites.
Tracy, C. A.; Widom, H. Introduction to random matrices. Geometric and quantum aspects of integrable systems (Scheveningen, 1992), 103130, Lecture Notes in Phys., 424, Springer, Berlin, 1993
1993
Earlier work this paper cites.
Palmer, J. Deformation analysis of matrix models. Phys. D 78 (1994), no. 3–4, 166-185
1994
Earlier work this paper cites.
Tracy, C. A.; Widom, H. Level-spacing distributions and the Airy kernel. Comm. Math. Phys. 159 (1994), no. 1, 151-174
1994
Earlier work this paper cites.
Tracy, C. A.; Widom, H. Level spacing distributions and the Bessel kernel. Comm. Math. Phys. 161 (1994), no. 2, 289-309
1994
Earlier work this paper cites.
Tracy, C. A.; Widom, H. Fredholm determinants, differential equations and matrix models. Commun. Math. Phys. 163 (1994), 33-72
1994
Earlier work this paper cites.
Adler, M.; Shiota, T.; van Moerbeke, P. Random matrices, vertex operators and the Virasoro algebra. Phys. Lett. A 208 (1995), no. 1-2, 67-78
1995
Cited alongside, same era.
Tracy, C. A.; Widom, H. Systems of partial differential equations for a class of operator determinants. Partial differential operators and mathematical physics. (Holzhau, 1995). 381–388, Oper. Theory Adv. Appl., 78. Birkh a ¨ \ddot{\mbox{a}} user, Basel, 1995
1995
Cited alongside, same era.
Adler, M.; Shiota, T.; van Moerbeke, P. Random matrices, Virasoro algebras, and noncommutative KP. Duke Math. J. 94 (1998), no. 2, 379-431
1998
Cited alongside, same era.
Borodin, A. Biorthogonal ensembles. Nuclear Phys. B 536 (1999), no. 3, 704–732
1999
Cited alongside, same era.
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., AMS, (1999)
Its, A. Painlev e ´ \acute{\mbox{e}} transcendents. The Oxford handbook of random matrix theory, 176-197, Oxford Univ. Press, Oxford, 2011
2011
Later among the works it cites.
van Moerbeke, P. Random matrix theory and integrable systems. The Oxford handbook of random matrix theory, 198230, Oxford Univ. Press, Oxford, 2011
2011
Later among the works it cites.
van Moerbeke, P. Random and integrable models in mathematics and physics. Random matrices, random processes and integrable systems, 3130, CRM Ser. Math. Phys., Springer, New York, 2011
2011
Later among the works it cites.
Akemann, G.; Burda, Z. Universal microscopic correlation functions for products of independent Ginibre matrices. J. Phys. A: Math. Theor. 45 (2012), 465201
2012
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
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
1999
Cited alongside, same era.
Harnad, J. On the bilinear equations for Fredholm determinants appearing in random matrices. J. Nonlinear Math. Phys. 9 (2002), no. 4, 530-550
2002
Cited alongside, same era.
Its, A.; Harnad, J. Integrable Fredholm operators and dual isomonodromic deformations. Comm. Math. Phys. 226 (2002), no. 3, 497–530
2002
Cited alongside, same era.
Fokas, A. S.; Its, A. R.; Kapaev, A. A.; Novokshenov, V. Y. Painlev e ´ \acute{\mbox{e}} transcendents. The Riemann-Hilbert approach. Mathematical Surveys and Monographs, 128. American Mathematical Society, Providence, RI, 2006
2006
Cited alongside, same era.
M u ¨ \ddot{\mbox{u}} ller, R. R. Free probability, Ch. 5 in “ Random matrix theory for wireless communications”, online resourse, 2007
2007
Cited alongside, same era.
Forrester, P. J. Log-gases and random matrices. London Mathematical Society Monographs Series, 34. Princeton University Press, Princeton, NJ, 2010
2010
Cited alongside, same era.
Olver, F. W. J.; Lozier, R. F.; Boisvert, R. F.; Clark, C. W., editors. NIST Handbook of Mathematical Functions, Cambridge University Press, Cambridge 2010
2010
Cited alongside, same era.
Cited in the paper.
2013
Later among the works it cites.
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.; 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.
2013
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
2014
Closest in time.
Ipsen, J.; Kieburg, M. Weak Communication Relations and Eigenvalue Statistics for Products of Rectangular Random Matrices. Phys. Rev. E 89, (2014), 032106
2014
Closest in time.
M u ¨ \ddot{\mbox{u}} ller, R. R. On the asymptotic eigenvalue distribution of concatenated vectorvalued fading channels. IEEE Trans. Inf. Theor. 48 (2002) 2086–2091
2091
Closest in time.