measure-preserving transformation(redirected from Measure-preserving dynamical system)
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measure-preserving transformation[¦mezh·ər pri¦zərv·iŋ ‚tranz·fər′mā·shən]
A transformation T of a measure space S into itself such that if E is a measurable subset of S then so is T -1 E (the set of points mapped into E by T) and the measure of T -1 E is then equal to that of E.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.