45 citations · 215 across the 31 of their papers we have counts for
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Openness of Regular Regimes of Complex Random Matrix Models
Marco Bertola, Pavel Bleher, Roozbeh Gharakhloo +2
Consider the general complex polynomial external field Fix an equi…
Locating the zeros of partial sums of exp(z) with Riemann-Hilbert methods
T. Kriecherbauer, A. B. J. Kuijlaars, K. D. T-R McLaughlin +1
In this paper we derive uniform asymptotic expansions for the partial sums of the exponential series. We indicate how this information will be used in a later publication to obtain…
Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle
A. Martinez-Finkelshtein, K. T. -R. McLaughlin, E. B. Saff
Strong asymptotics of polynomials orthogonal on the unit circle with respect to a weight of the form $$ W(z) = w(z) \prod_{k=1}^m |z-a_k|^{2β_k}, \quad |z|=1, \quad |a_k|=1, \quad…
Asymptotics of Recurrence Relation Coefficients, Hankel Determinant Ratios, and Root Products Associated with Laurent Polynomials Orthogonal with Respect to Varying Exponential Weights
K. T. -R. McLaughlin, A. H. Vartanian, X. Zhou
Orthogonalisation of the (ordered) base with respect to the real inner product $(f,g) \mapsto \int_{\mathbb{R}}f(…
Asymptotics of Laurent Polynomials of Odd Degree Orthogonal with Respect to Varying Exponential Weights
K. T. -R. McLaughlin, A. H. Vartanian, X. Zhou
Let denote the linear space over spanned by , . Define the real inner product (with varying exponential weights) $<\boldsymbo…
Asymptotics of Laurent Polynomials of Even Degree Orthogonal with Respect to Varying Exponential Weights
K. T. -R. McLaughlin, A. H. Vartanian, X. Zhou
Let denote the linear space over spanned by , . Define the real inner product (with varying exponential weights) $\lang…