1. CJM 2012 (vol 65 pp. 600)
 Kroó, A.; Lubinsky, D. S.

Christoffel Functions and Universality in the Bulk for Multivariate Orthogonal Polynomials
We establish asymptotics for Christoffel functions associated with
multivariate orthogonal polynomials. The underlying measures are assumed to
be regular on a suitable domain  in particular this is true if they are
positive a.e. on a compact set that admits analytic parametrization. As a
consequence, we obtain asymptotics for Christoffel functions for measures on
the ball and simplex, under far more general conditions than previously
known. As another consequence, we establish universality type limits in the
bulk in a variety of settings.
Keywords:orthogonal polynomials, random matrices, unitary ensembles, correlation functions, Christoffel functions Categories:42C05, 42C99, 42B05, 60B20 

2. CJM 1998 (vol 50 pp. 1273)
 Lubinsky, D. S.

Mean convergence of Lagrange interpolation for exponential weights on $[1,1]$
We obtain necessary and sufficient conditions for mean convergence of
Lagrange interpolation at zeros of orthogonal polynomials for weights on
$[1,1]$, such as
\[
w(x)=\exp \bigl((1x^{2})^{\alpha }\bigr),\quad \alpha >0
\]
or
\[
w(x)=\exp \bigl(\exp _{k}(1x^{2})^{\alpha }\bigr),\quad k\geq 1,
\ \alpha >0,
\]
where $\exp_{k}=\exp \Bigl(\exp \bigl(\cdots\exp (\ )\cdots\bigr)\Bigr)$
denotes the $k$th iterated exponential.
Categories:41A05, 42C99 
