Cauchy Biorthogonal Polynomials

Oscillation matrices and kernels and small vibrations of mechanical systems

F. P. Gantmacher and M. G. Krein · 1941

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Total positivity. Vol. I

S. Karlin · 1968

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The L ​ U LU -factorization of totally positive matrices

C. W. Cryer · 1973

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Some properties of totally positive matrices

C. W. Cryer · 1976

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Monodromy preserving deformation of linear ordinary differential equations with rational coefficients. i. general theory

M. Jimbo, T. Miwa, and K. Ueno · 1981

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Rational approximations and orthogonality

E. M. Nikishin and V. N. Sorokin · 1991

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An integrable shallow water equation with peaked solitons

R. Camassa and D. D. Holm · 1993

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Matrices coupled in a chain. I. Eigenvalue correlations

B. Eynard and M. L. Mehta · 1998

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Multi-peakons and a theorem of Stieltjes

R. Beals, D. H. Sattinger, and J. Szmigielski · 1999

Cited alongside, same era.

Asymptotic integrability

A. Degasperis and M. Procesi · 1999

Cited alongside, same era.

Multipeakons and the classical moment problem

R. Beals, D. Sattinger, and J. Szmigielski · 2000

Cited alongside, same era.

Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model

N. M. Ercolani and K. T.-R. McLaughlin · 2001

Cited alongside, same era.

Riemann-Hilbert problems for multiple orthogonal polynomials

W. Van Assche, J. S. Geronimo, and A. B. J. Kuijlaars · 2001

Cited alongside, same era.

Duality, biorthogonal polynomials and multi-matrix models

M. Bertola, B. Eynard, and J. Harnad · 2002

Cited alongside, same era.

Multi-peakon solutions of the Degasperis–Procesi equation

H. Lundmark and J. Szmigielski · 2003

Later among the works it cites.

Random matrices

M. L. Mehta · 2004

Later among the works it cites.

Biorthogonal polynomials for two-matrix models with semiclassical potentials

M. Bertola · 2005

Later among the works it cites.

Degasperis-Procesi peakons and the discrete cubic string

H. Lundmark and J. Szmigielski · 2005

Later among the works it cites.

Strong asymptotics of Cauchy biorthogonal polynomials

M. Bertola, M. Gekhtman, and J. Szmigielski · 2008

Later among the works it cites.

Moment determinants as isomonodromic tau functions

M. Bertola · 2009

Closest in time.

The Cauchy two–matrix model