Poisson point processes

A Poisson point process (PPP) is a mathematical model used in probability theory and statistics to describe a random collection of points or events that occur in a specific space (which could be one-dimensional, two-dimensional, or higher dimensions). The main characteristics of a Poisson point process include: 1. **Randomness and Independence**: The points in a Poisson point process are placed in such a way that the number of points in non-overlapping regions of space are independent of each other.