Lecture
This lecture introduces Poisson processes, a type of Markov process on N derived from a sequence of i.i.d. Exp(X) random variables. The rate of the process is crucial, typically starting from 0. The lecture covers the properties of Poisson processes, including independent increments and jump time distributions. It also discusses the construction of Poisson processes using Bernoulli random variables and the independence of Poisson processes with different rates.