Ergodic Action Semigroups which Was Inspired by Pesin's Theory

Abstract

By benefit of Pesin's method to prove ergodicity with respect to Lebesgue measure for ordinary dynamical systems, we conclude ergodicity (resp. term-ergodicity) for some action semigroups with respect to volume measure (resp. quasi measure). To this aim, the main tool is the theory of local ergodicity.

Due to the obviousness and incorrectness of some of the theorems and statements, this note has been deleted