Fetching the paper…
Reading the bibliography…
We study fluctuations of linear statistics corresponding to smooth functions for certain biorthogonal ensembles.
E. A. Rakhmanov, On the asymptotics of the ratio of orthogonal polynomials , Math. USSR Sb. 32
1977
Earlier work this paper cites.
D. B. Pearson, Singular continuous measures in scattering theory
1978
Earlier work this paper cites.
M. Reed and B. Simon, Methods of Modern Mathematical Physics, IV: Analysis of Operators
1978
Earlier work this paper cites.
E. A. Rakhmanov, On the asymptotics of the ratio of orthogonal polynomials II , Math. USSR Sb. 46
1983
Earlier work this paper cites.
H. Stahl and V. Totik, General Orthogonal Polynomials
1992
Earlier work this paper cites.
O. Costin and J. Lebowitz, Gaussian fluctuations in random matrices , Phys. Rev. Lett. 75, No. 1, 69–72, (1995)
1995
Earlier work this paper cites.
K. Johansson, On random matrices from the compact classical groups , Ann. of Math. (2) 145 (1997), no. 3, 519–-545
1997
Earlier work this paper cites.
B. Eynard and M. L. Mehta, Matrices coupled in a chain. I. Eigenvalue correlations, J. Phys. A 31 (1998), no. 19, 4449–4456
1998
Earlier work this paper cites.
K. Johansson, On fluctuations of eigenvalues of random Hermitian matrices, Duke Math. J. 91 (1998), no. 1, 151–-204
1998
Earlier work this paper cites.
A. Kiselev, Y. Last and B. Simon, Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators
1998
Earlier work this paper cites.
A. Borodin, Biorthogonal ensembles , Nuclear Phys. B 536 (1999), no. 3, 704–732
1999
Earlier work this paper cites.
A. Böttcher and B. Silbermann, Introduction to large truncated Toeplitz matrices. Universitext. Springer-Verlag, New York, 1999
1999
Earlier work this paper cites.
P. Deift, Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach
1999
Earlier work this paper cites.
P. Deift, T. Kriecherbauer, K.T.-R. McLaughlin, S. Venakides, and X. Zhou, Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory , Comm. Pure Appl. Math. 52
1999
Earlier work this paper cites.
P. Deift, T. Kriecherbauer, K.T.-R. McLaughlin, S. Venakides, and X. Zhou, Strong asymptotics for polynomials orthogonal with respect to varying exponential weights , Comm. Pure Appl. Math. 52
1999
Earlier work this paper cites.
A. B. J. Kuijlaars and W. Van Assche, The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients , J. Approx. Theory 99 (1999), no. 1, 167–-197
1999
Earlier work this paper cites.
Y. Last and B. Simon, Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
1999
Earlier work this paper cites.
E. Basor and H. Widom, On a Toeplitz determinant identity of Borodin and Okounkov , Integral Equations and Operator Theory 37 (2000), no. 4, 397–401
2000
Earlier work this paper cites.
I. Gohberg, S. Goldberg and N. Krupnik, Traces and determinants of linear operators . Operator Theory: Advances and Applications, 116. Birkhäuser Verlag, Basel, 2000. x+258 pp
2000
Earlier work this paper cites.
A. Soshnikov, Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields , J. Statist. Phys. 100 (2000), no. 3–4, 491–522
2000
Earlier work this paper cites.
A. Soshnikov, Determinantal random point fields , Uspekhi Mat. Nauk 55
2000
Cited alongside, same era.
N. Ercolani and K. McLaughlin, Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model , Phys. D 152/153 (2001), 232–-268
2001
Cited alongside, same era.
M. Bertola, B. Eynard and J. Harnad, Duality, biorthogonal polynomials and multi-matrix models , Comm. Math. Phys. 229 (2002), no. 1, 73–120
2002
Cited alongside, same era.
K. Johansson, Non-intersecting paths, random tilings and random matrices , Probab. Theory Related Fields 123 (2002), no. 2, 225–-280
2002
Cited alongside, same era.
A. Soshnikov, Gaussian limit for determinantal random point fields , Ann. Probab. 30
2002
Cited alongside, same era.
2010
Later among the works it cites.
J. Breuer, Y. Last and B. Simon, The Nevai condition , Constr. Approx. 32
2010
Later among the works it cites.
D. Damanik, R. Killip and B. Simon, Perturbations of orthogonal polynomials with periodic recursion coefficients , Annals of Math. 171
2010
Later among the works it cites.
P. J. Forrester, Log-gases and random matrices , London Mathematical Society Monographs Series, 34. Princeton University Press, Princeton, NJ, 2010
2010
Later among the works it cites.
R. Koekoek, P. A. Lesky, and R. F. Swarttouw, Hypergeometric orthogonal polynomials and their q-analogues. Springer Monographs in Mathematics. Springer-Verlag, Berlin, 2010
2010
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
P. Diaconis, Patterns in eigenvalues: the 70th Josiah Willard Gibbs lecture. BullȦmer. Math. Soc. (N.S.) 40 (2003), no. 2, 155-–178
2003
Cited alongside, same era.
T. A. Ehrhardt, Generalization of Pincus’ formula and Toeplitz operator determinants Arch. Math. 80
2003
Cited alongside, same era.
R. Lyons, Determinantal probability measures , Publ. Math. Inst. Hautes Etudes Sci. 98
2003
Cited alongside, same era.
S. A. Denisov, On Rakhmanov’s theorem for Jacobi matrices , Proc. Amer. Math. Soc. 132
2004
Cited alongside, same era.
W. König, Orthogonal polynomial ensembles in probability theory , Probab. Surveys 2
2005
Cited alongside, same era.
Y. Last Spectral theory of Sturm-Liouville operators on infinite intervals: A review of recent developments
2005
Cited alongside, same era.
B. Simon, Trace ideals and their applications. Second edition. Mathematical Surveys and Monographs, 120. American Mathematical Society, Providence, RI, 2005. viii+150
2005
Cited alongside, same era.
A. Kuijlaars, Multiple Orthogonal Ensembles . In ‘Recent trends in orthogonal polynomials and approximation theory’, Contemp. Math., 507 (2010), pp. 155–-176
2010
Later among the works it cites.
J. Breuer, Sine kernel asymptotics for a class of singular measures , J. Approx. Theory, 163
2011
Later among the works it cites.
J. Breuer and B. Simon, Natural boundaries and spectral theory , Adv. Math. 226
2011
Later among the works it cites.
2011
Later among the works it cites.
M. Duits, D. Geudens and A. Kuijlaars, A vector equilibrium problem for the two-matrix model in the quartic/quadratic case , Nonlinearity 24 (2011), 951–993
2011
Later among the works it cites.
L. Pastur and M. Shcherbina, Eigenvalue distribution of large random matrices. Mathematical Surveys and Monographs, 171. American Mathematical Society, Providence, RI, 2011
2011
Later among the works it cites.
C. Remling, The absolutely continuous spectrum of Jacobi matrices , Ann. Math. 174
2011
Later among the works it cites.
B. Simon, Szegő’s Theorem and its Descendants: Spectral Theory for L 2 L^{2} Perturbations of Orthogonal Polynomials , M. B. Porter Lecture Series, Princeton Univ. Press, Princeton, NJ, 2011
2011
Later among the works it cites.
The Oxford handbook of random matrix theory , Edited by G. Akemann, J. Baik and P. Di Francesco. Oxford University Press, Oxford, 2011
2011
Later among the works it cites.
2012
Later among the works it cites.
M. Duits, A. B. J. Kuijlaars and M. Y. Mo, The Hermitian two matrix model with an even quartic potential Mem. Amer. Math. Soc. 217 (2012), no. 1022, v+105 pp
2012
Later among the works it cites.
2013
Closest in time.
M. Duits, The Gaussian Free Field in an interlacing particles system with two jump rates , Comm. Pure and Appl. Math. 66 (2013), no. 4, 600–643
2013
Closest in time.
M. Shcherbina, Fluctuations of linear eigenvalue statistics of matrix models in the multi-cut regime , J Stat Phys (2013) 151, 1004–-1034
2013
Closest in time.