recurrent transformation [ri`kǝr·ǝnt ´tranz·fǝr`mā·shǝn] MATHEMATICS 1. 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 Tn(x ) is also in A. 2. 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 Tn(x ) is also in A. |