Speaker: Alessandra Cipriani (TU Delft)
Title: Dynamical fitness models: evidence of universality classes for preferential attachment
31 JANUARY (Friday), 11:30; ROOM 1BC45, Dipartimento di Matematica
“Tullio Levi-Civita”, Via Trieste 63, Padova
Abstract: In this talk we study different variations of a particular class
of random graphs called preferential attachment models with fitness.
These are dynamic graphs in which, at every time step, a new node attaches
itself to an older one with probability proportional to the degree and a random
factor associated to the node, called the fitness.
Motivated by learning mechanisms of real-life networks, we assume the fitness
to be a Moving Average process MA(q) with positive increments.
We study different properties of such models, for example the degree distribution,
the attachment probability and the phenomenon of Bose-Einstein condensation.
Finally we provide evidence that, tuning the parameters of the fitness process,
we fall into two universality classes represented by the well-known
Albert-Barabàsi model and Bianconi-Barabàsi model.
This implies the robustness of heavy tails in the degree distribution
under random perturbations of the attachment rule.
All of you are very welcome.
Best regards,
Alessandra Bianchi