English

Ergodic Action Semigroups which Was Inspired by Pesin's Theory

Dynamical Systems 2025-10-07 v2

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.

Keywords

Cite

@article{arxiv.1312.5009,
  title  = {Ergodic Action Semigroups which Was Inspired by Pesin's Theory},
  author = {Ali Sarizadeh},
  journal= {arXiv preprint arXiv:1312.5009},
  year   = {2025}
}

Comments

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