Stationary distribution

Stationary distribution

Stationary distribution may refer to:

* The limiting distribution in a Markov chain
* Stationary process
* Stationary ergodic process
* Stationary state or ground state in quantum mechanics

Crudely stated, all of the above are specific cases of a common general concept: a distinguished function (often unique, and often an eigenvector of some matrix or operator, whose existence is given by the Perron–Frobenius theorem) that describes either the highest-probability state of the system (the 'ground state'), or an enduring state of the system, one that is not washed out or dissipated over the course of time evolution.


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