Buongiorno vi segnalo il seguente seminario che Luca Scarpa (Politecnico di Milano) terrà presso l’Università degli Studi di Milano-Bicocca: *Data e ora:* Mercoledì 4 Novembre 2026, ore 15:00 *Luogo:* Aula U4-07 (Edificio U4, Piazza della Scienza 4, Milano) - Università degli Studi di Milano-Bicocca *Relatore:* Luca Scarpa (Politecnico di Milano) *Titolo:* Strong Feller property and irreducibility for stochastic PDEs with degenerate multiplicative noise *Abstract:* We establish strong Feller property and irreducibility for the transition semigroup associated to a class of nonlinear stochastic partial differential equations with multiplicative degenerate noise. As a by-product, we prove uniqueness of the invariant measure under very mild assumptions. The drift of the equation diverges exactly where the noise coefficient vanishes, resulting in a competition between the dissipative effects and the degeneracy of the noise.The main idea is to introduce a mathematical method to measure the accumulation of the solution towards the potential barriers, allowing to give rigorous meaning to the inverse of the noise operator even in the degenerate case. If the singularity of the drift and the degeneracy of the noise are suitably balanced, the dynamics are shown to stabilise for large times. From the mathematical point of view, the results provide a first generalisation of the classical work by Peszat & Zabczyk to the case of degenerate multiplicative diffusions. From the application perspective, the models cover interesting scenarios in physics, in the context of evolution of relative concentrations of mixtures, under the influence of thermodynamically-relevant potentials of Flory-Huggins type. Tutti gli interessati sono invitati a partecipare Cordialmente Federica Masiero -- Federica Masiero Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Edificio U5 via Roberto Cozzi, 55, 20126 Milano