ergodic transformation

ergodic transformation

[ər′gäd·ik tranz·fər′mā·shən]
(mathematics)
A measure-preserving transformation on X with the property that whenever X is written as a union of two disjoint invariant subsets, one of these must have measure zero.
References in periodicals archive ?
As such, dt should be expressed through the ergodic transformation d[x.
i], undergoes a space-time turn dt expressed by the ergodic transformation (17).
Therefore, for the entire motion of a particle, we have no need of expanding [partial derivative]/[partial derivative]t by the ergodic transformation, for each force acting thereon.