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On the ergodic theorem in the Kozlov-Treshchev form
Doklady Mathematics. 2007. Vol. 412. No. 3. P. 295–301.
Королев А. В., Bogachev V.
Given an ergodic semigroup of transformations Tt of a probability space (X, A, µ), we introduce and study measures on X induced by mappings s → Ttsx from [0, +∞) to X and probability measures on [0, +∞). We obtain several results related the ergodic theorem in the form found recently by Kozlov and Treshchev.
Language:
English