2 citations · 3 across the 6 of their papers we have counts for
8 papers
Extremal Functions and Widom Factors on Compact Riemann Surfaces
Sampad Lahiry
We study the Chebyshev extremal problem on a compact Riemann surface of genus . As an analog to monic polynomials, we consider admissible meromorphic functions having no p…
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…
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 . The family is characterised by the property that the density of the equilibrium mea…
Partition function of 2D Coulomb gases with radially symmetric potentials and a hard wall
Matthias Allard, Peter J. Forrester, Sampad Lahiry +1
The large 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…
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…
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 (where ) with respect to the weight $$\frac{|z-w|^{2NQ_1}}{(1+|z|^2)^{N(1+Q_0+Q_1)+1}}, \q…
Properties of the one-component Coulomb gas on a sphere with two macroscopic external charges
Sung-Soo Byun, Peter J. Forrester, Sampad Lahiry
The one-component Coulomb gas on the sphere, consisting on unit charges interacting via a logarithmic potential, and in the presence of two external charges each of strength pr…
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 in the whole complex plane. We obtain strong asymptotics and the limiting normalized zero…