Sampad Lahiry

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20242026

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math.CA2026

Matrix Szegő Function and Matrix Orthogonal Polynomials for Multiple Cuts

Sampad Lahiry

Following recent developments on matrix-valued orthogonal polynomials (MVOPs), we construct the matrix Szegő factorisation of the matrix weight function when it is supported on mul…

math.CA2026

Extremal Functions and Widom Factors on Compact Riemann Surfaces

Sampad Lahiry

We study the Chebyshev extremal problem on a compact Riemann surface $X$ of genus $g > 0$ . As an analog to monic polynomials, we consider admissible meromorphic functions having no p…

math.CA2025

Orthogonal polynomials in the spherical ensemble with two insertions

Sung-Soo Byun, Peter J. Forrester, Arno B. J. Kuijlaars +1

We consider asymptotics of planar orthogonal polynomials $P_{n, N}$ (where $deg P_{n, N} = n$ ) with respect to the weight $$\frac{|z-w|^{2NQ_1}}{(1+|z|^2)^{N(1+Q_0+Q_1)+1}}, \q…

math.CA2024

Orthogonal polynomials in the normal matrix model with two insertions

Mario Kieburg, Arno B. J. Kuijlaars, Sampad Lahiry

We consider orthogonal polynomials with respect to the weight $∣ z^{2} + a^{2} ∣^{c N} e^{- N ∣ z ∣^{2}}$ in the whole complex plane. We obtain strong asymptotics and the limiting normalized zero…