 Markov chain mixing time

In probability theory, the mixing time of a Markov chain is the time until the Markov chain is "close" to its steady state distribution.More precisely, a fundamental result about Markov chains is that a finite state irreducible aperiodic chain has a unique stationary distribution "π" and, regardless of the initial state, the time-"t" distribution of the chain converges to "π" as "t" tends to infinity.