Section: New Results

Random Graphs

Participant : Nicolas Broutin.

Self-similar real trees defined as fixed-points [15]: Random trees that are fixed points of some random decompositions are ubiquitous: the essential building blocks of the scaling limits of graphs, but also various other trees associated to combinatorial models are such trees. We study a general class of fixed-points equations in spaces of measure metric spaces that yield such objects, and study the existence/uniqueness of the fixed-points in the natural spaces of interest. We also obtain geometric information such as fractal dimension or estimates about the degrees directly from the equations. This is joint work with Henning Sulzbach.