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.

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.

## Date:

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