we are happy to announce the following online talk:
Speaker: Luisa Andreis (Università di Firenze)
Title: Phase transitions in random graphs and coagulation processes.
Abstract:
Inhomogeneous random graphs are a natural generalization of the well-known Erdos–Renyi random graph, where vertices are characterized
by a typeand edges are present independently according to the type of the vertices thatthey
are connecting. In the sparse regime, these graphs undergo a phase transition in terms of the emergence of a giant component exactly
as the classical Erdos–Renyi model. We will present an alternative approach, via large deviations,
to prove this phase transition. This allows a comparison with the gelationphase transition in coagulation processes and with phase
transitions of condensation type emerging in several systems of interacting components.
This is based on ongoing joint works with Wolfgang K\"onig (WIAS and TUBerlin),
Tejas Iyer (WIAS), Heide Langhammer (WIAS), Elena Magnanini(WIAS) and Robert Patterson (WIAS).
Date and time: Monday March 28, 17:30-18:30 (Rome time zone).
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This talk is a talk of the (PMS)^2: Pavia-Milano Seminar series on Probability and Mathematical Statistics organized jointly by the universities Milano-Bicocca, Pavia, Milano-Politecnico and Milano-Statale.
Participation is free and welcome!
Best regards,
The organizers (Mario Maurelli, Carlo Orrieri, Maurizia Rossi, Margherita Zanella)