terrà un seminario dal titolo:

PROBABILISTIC AND FREE-PROBABILISTIC PROPERTIES OF 2D CONSTELLATION NUMBERS

Abstract:

After a short introduction about the properties of classical Catalan numbers and their role in Physics 

we shall dwell on a certain quite vast generalisation of Catalan numbers called the constellation numbers. 

We solve exactly the Hausdorff moment problem for these numbers and provide explicit expressions 

for appropriate positive weight functions. For certain values of parameters we analyse the properties of these 

solutions from the point of view of the free probability, and demonstrate their infinite divisibility 

with respect to the free additive convolution. We introduce the idea of fractional constellation numbers and 

provide complete solutions to this particular case.