Sampad Lahiry

collaborators

7 papers

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.PR2025

Birth of a gap: Critical phenomena in 2D Coulomb gas

Matthias Allard, Sampad Lahiry

We investigate a family of radially symmetric Coulomb gas systems at inverse temperature $β = 2$ . The family is characterised by the property that the density of the equilibrium mea…

math.PR2025

Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall

Matthias Allard, Peter J. Forrester, Sampad Lahiry +1

The large $N$ asymptotic expansion of the partition function for the normal matrix model is predicted to have special features inherited from its interpretation as a two-dimensiona…

math-ph2025

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials

Harini Desiraju, Sampad Lahiry

In recent years, there has been significant progress in the theory of orthogonal polynomials on algebraic curves, particularly on genus 1 surfaces. In this paper, we focus on ellip…

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…