Arno Kuijlaars 
(Department of Mathematics, Katholieke Universiteit Leuven)
   Critical behavior in non-intersecting path ensembles

  I will discuss new critical behavior in two ensembles of 
non-intersecting path. The models have in common that they are 
determinantal point pro-cesses that can be analyzed with multiple 
orthogonal polynomials and the associated Riemann-Hilbert problem.  
The size of the Riemann-Hilbert problem is either 4 x 4 or 3 x 3. 
The first model consists of non-intersecting Brownian bridges with 
two starting and two ending positions. The second model is a model of 
non-intersecting squared Bessel paths where the interaction with the 
hard edge at 0 presents a new phenomenon.