Yet another memoryless correlated discrete process is considered, recurrent events. These are classified in different ways, and a whole theory is developed to describe the possible behaviors. Special attention is devoted to the proof of the limit probability theorem, whose lengthy details are reported in an appendix, so as not to scare readers. The theory of recurrent events is particularly useful because many properties and mathematical theorems can be straightforwardly translated in the more general theory of Markov chains.