Consider the Simple Symmetric Exclusion Process (SSEP) $\eta_t$ on $\mathbb Z^d$. Let $\Gamma_t=\int_0^t \eta_s(0)ds$ be the occupation time of the origin up to time $t$. In this talk I will discuss about the limit of $\frac{\Gamma_{tn^2}}{\beta_{d,n}}$ for some properly chosen $\beta_{d,n}$. I will first review results in the equilibrium setting, then report some progresses made in the non-equilibrium setting.

In this talk I will present the status on quantum communications in Portugal. From the Laboratory to the operational network what has been done through the main actors in industry, academia and public institutions in Portugal. Starting with the development of national technology under a European Defence project, DISCRETION, to the deployment of the first EuroQCI (the European Quantum Communication Infrastructure) segment in Portugal, PTQCI. I will show that quantum communications is no longer a science project, but it is on the heart of sovereignty in Europe.