recurrent transformation

recurrent transformation

[ri′kər·ənt ‚tranz·fər′mā·shən]
(mathematics)
A measurable function from a measure space T to itself such that for every measurable set A in the space and every point x in A there is a positive integer n such that T n (x) is also in A.
A continuous function from a topological space T to itself such that for every open set A in the space and every point x in A there is a positive integer n such that T n (x) is also in A.
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