In the project we propose thirteen interrelated problems concerned with the behaviour of large systems of dependent random variables. We focus on interacting systems with Markovian dynamics. We are…
In interacting stochastic models, simple rules on the local level can give rise to complex behaviour on large scales. A natural way to study this phenomenon is through scaling limits and examination…
The project is devoted to the study of threshold phenomena: the abrupt and
dramatic change in the properties of a stochastic system once a characteristic
parameter passes a threshold…
