66 citations · 327 across the 22 of their papers we have counts for
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Local Statistics in Normal Matrix Models with Merging Singularity
Torben Krüger, Seung-Yeop Lee, Meng Yang
We study the normal matrix model, also known as the two-dimensional one-component plasma at a specific temperature, with merging singularity. As the number of particles tends t…
Strong Asymptotics of Planar Orthogonal Polynomials: Gaussian Weight Perturbed by Finite Number of Point Charges
Seung-Yeop Lee, Meng Yang
We consider the planar orthogonal polynomial with respect to the measure supported on the whole complex plane $${\rm e}^{-N|z|^2} \prod_{j=1}^ν|z-a_j|^{2c_j}\,{\rm d} A(…
Planar Orthogonal Polynomials As Type II Multiple Orthogonal Polynomials
Seung-Yeop Lee, Meng Yang
We show that the planar orthogonal polynomials with logarithmic singularities in the potential are the multiple orthogonal polynomials (Hermite-Padé polynomials) of Type II wit…
Discontinuity in the asymptotic behavior of planar orthogonal polynomials under a perturbation of the Gaussian weight
Seung-Yeop Lee, Meng Yang
We consider the orthogonal polynomials, , with respect to the measure supported over the whole complex plane, where …
Fine asymptotic behavior in eigenvalues of random normal matrices: Ellipse Case
Seung-Yeop Lee, Roman Riser
We consider the random normal matrices with quadratic external potentials where the associated orthogonal polynomials are Hermite polynomials and the limiting support (called dropl…
Spectra of Random Hermitian Matrices with a Small-Rank External Source: The critical and near-critical regimes
Marco Bertola, Robert Buckingham, Seung-Yeop Lee +1
Random Hermitian matrices are used to model complex systems without time-reversal invariance. Adding an external source to the model can have the effect of shifting some of the mat…
Spectra of random Hermitian matrices with a small-rank external source: supercritical and subcritical regimes
Marco Bertola, Robert Buckingham, Seung-Yeop Lee +1
Random Hermitian matrices with a source term arise, for instance, in the study of non-intersecting Brownian walkers \cite{Adler:2009a, Daems:2007} and sample covariance matrices \c…
Asymptotic eigenvalue distribution of large Toeplitz matrices
Seung-Yeop Lee, Hui Dai, Eldad Bettelheim
We study the asymptotic eigenvalue distribution of Toeplitz matrices generated by a singular symbol. It has been conjectured by Widom that, for a generic symbol, the eigenvalues co…