1. CMB Online first
 Elmadani, Y.; Labghail, I.

Cyclicity in Dirichlet spaces
Let $\mu$ be a positive finite Borel measure on the unit circle
and $\mathcal{D}(\mu)$ the associated harmonically weighted Dirichlet
space. In this paper we show that for each closed subset $E$
of the unit circle with zero $c_{\mu}$capacity, there exists
a function $f\in\mathcal{D}(\mu)$ such that $f$ is cyclic (i.e.,
$\{p f: p $ is a polynomial$\}$ is dense in $\mathcal{D}(\mu)$),
$f$ vanishes on $E$, and $f$ is uniformly continuous.
Then we provide a sufficient
condition for a continuous function on the closed unit disk to
be cyclic in $\mathcal{D}(\mu)$.
Keywords:Dirichlettype space, cyclic vector, capacity, strongtype inequality Categories:47B38, 30C85, 30H05 

2. CMB 2015 (vol 59 pp. 211)
 Totik, Vilmos

Universality Under SzegÅ's Condition
This paper presents a
theorem on universality on orthogonal polynomials/random matrices
under a weak local condition on the weight function $w$.
With a new inequality for
polynomials and with the use of fast decreasing polynomials,
it is shown that an approach of
D. S. Lubinsky is applicable. The proof works
at all points which are Lebesguepoints both
for the weight function $w$ and for $\log w$.
Keywords:universality, random matrices, Christoffel functions, asymptotics, potential theory Categories:42C05, 60B20, 30C85, 31A15 
