Martedì 14 luglio alle 17 si terrà il seminario di Luisa Andreis (WIAS, Berlin), virtualmente ospitata dal DISMA Politecnico di Torino, dal titolo The phase transition in random graphs and coagulation processes: a large deviation approach il link per seguire il talk è https://zoom.us/j/91884592112?pwd=dWxIYmlnUHFSUVVJLzF4Z1hCclcxQT09 Meeting ID: 918 8459 2112 Password: 9n1AQD Segue l'abstract Cordiali saluti, Enrico Bibbona Inhomogeneous random graphs are a natural generalization of the well- known Erdos Rényi random graph, where vertices are characterised by a type and edges are independent but distributed according to the type of the vertices that they 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 Rényi model. In this talk we will present an alternative approach, via large deviations, to prove this phase transition. This allows a comparison with the gelation phase transition that characterises some coagulation processes and with phase transitions of condensation type emerging in several systems of interacting components. This is an ongoing joint work with Wolfgang K ̈onig (WIAS and TU Berlin), Robert Patterson (WIAS) and Heide Langhammer (WIAS). Enrico Bibbona Associate Professor of Statistics Probability, Statistics and Optimization group Department of Mathematical Sciences "G. L Lagrange" Politecnico di Torino