# Markov chain

From AMS Glossary

## Markov chain

A stochastic process with a finite number of states in which the probability of occurrence of a future state is conditional only upon the current state; past states are inconsequential.

In meteorology, Markov chains have been used to describe a raindrop size distribution in which the state at time step

*n*+ 1 is determined only by collisions between pairs of drops comprising the size distribution at time step*n*.