Scientists propose the Percolation Theory Hypothesis to explain how civilizations may spread through the Universe. The study considers three different types of Universes and suggests that intelligent life may populate the Universe exponentially within a finite amount of time. Settlement patterns in the Universe follow a Logistic Growth Function, with expansion accelerating until resources dwindle or are exhausted.

https://www.sciencealert.com/new-theory-shows-how-civilizations-can-spread-like-wildfire-through-space