Multi-scale percolation
When studying interacting particle systems, it is often useful to describe their behaviour in bounded regions and then draw conclusions from that. Paired with time intervals this allows us to tessellate space-time into cells on which the occurence of events of interest within a cell can be seen as a dependent percolation problem. Classical percolation tools fail due to the infinite range dependence in this space-time percolation problem, so the problem has to be considered at increasingly large scales to capture sufficiently much information.