Martedì 14 Febbraio, ore 14:00 Sala di Consiglio, Dipartimento di
Matematica, Sapienza Università di Roma
*Speaker:* Luisa Andreis, Politecnico di Milano
*Abstract:* Rare events for dense random graphs are well described using
the theory of large deviations and graphons. When graphs are sparse the
picture is less clear, objects that describe globally the graphs and their
limits, as graphons do for dense graphs, have not been defined yet.
Nevertheless we do have information on how these graphs look like when
explored locally from a vertex and this, under some assumptions, gives also
information on global properties. In this talk we will give an overview on
what is known on rare events in this regime, focusing in particular on
large deviation statements on connected components in inhomogeneous random
graphs and on links with coagulation processes. This talk is based on joint
works with Wolfgang König (WIAS and TU Berlin), Tejas Iyer, Heide
Langhammer, Elena Magnanini and Robert Patterson (WIAS).