Analysis Seminar: Balazs Rath "Self-organized criticality in dynamic random graph models"

The mean field frozen percolation model, introduced by B.
Toth and treated in [Rath, 2009, JSP], is a modification of the dynamical
Erdos-Renyi random graph model, where large connected components are
deleted with a rate proportional to their size.
The model exhibits self-organized criticality: as soon as the the
graph reaches its critcal state, it sticks there. We try to explain
this phenomenon and some related results about scaling limits using
the method of "rigid representations" [Martin, Rath, 2017, ECP].

No prior knowledge is needed, all models and terms will be explained.


Wed, 31/01/2018 - 12:00 to 13:00