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.

McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.