Speaker
Thordur Jonsson
(University of Iceland)
Description
We discuss a model of growing planar trees called the
splitting vertex model which has preferential attachment
trees as a
special case and the alpha model of phylogenetic trees as a
limiting
case. We show how to calculate the distribution of vertex
degrees and
define
structure functions which allow us to calculate the Hausdorff
dimension in some cases. We further dicuss the "mass
distribution"
and the infinite volume limit.
