11 citations · 17 across the 4 of their papers we have counts for
4 papers
On the norms and roots of orthogonal polynomials in the plane and -optimal polynomials with respect to varying weights
F. Balogh, M. Bertola
For a measure on a subset of the complex plane we consider -optimal weighted polynomials, namely, monic polynomials of degree with a varying weight of the form $w^n = {\rm…
Universality in the profile of the semiclassical limit solutions to the focusing Nonlinear Schroedinger equation at the first breaking curve
M. Bertola, A. Tovbis
We consider the semiclassical (zero-dispersion) limit of the one-dimensional focusing Nonlinear Schroedinger equation (NLS) with decaying potentials. If a potential is a simple rap…
Cauchy Biorthogonal Polynomials
M. Bertola, M. Gekhtman, J. Szmigielski
The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite-Pade' approximation scheme. Associated to any totally positiv…
Peakons and Cauchy Biorthogonal Polynomials
M. Bertola, M. Gekhtman, J. Szmigielski
The contents of the paper is now covered in two separate papers arXiv:0904.2188 and arXiv:0904.2602. Please refer to those. Note that you can still access the original version arXi…