Ergodic measure-preserving transformation
= Ergodic measure-preserving transformation
{wiki=Ergodicity}
= Ergodic system
{synonym}
= Ergodic
{synonym}
= Ergodicity
{synonym}
= Ergodic transformation
{synonym}
A <measure-preserving transformation> is ergodic when every set in its <invariant sigma-algebra> has measure zero or full measure. Equivalently, every integrable invariant function is almost everywhere constant.