Title : ( On ergodicity of Markovian mostly expanding semi-group actions )
Authors: Azam Ehsani , Fateme Helen Ghane Ostadghassemi , marzie zaj ,
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Abstract
We consider finitely generated semigroup actions on a compact manifold and discuss their ergodic properties. We introduce Markovian mostly expanding semigroups and show that each $C^{1+a}$ Markovian mostly expanding semigroup action is ergodic (with respect to the Lebesgue measure) whenever it is strongly transitive. Moreover, it is proved that each Markovian mostly expanding semigroup is non uniformly expanding. Our approach provides a large class of non-uniformly expanding semigroups.
Keywords
, finitely generated semigroup action; backward minimality; strong transitivity; ergodicity of semigroup actions, non-uniformly expanding property.
@article{paperid:1078718,
author = {Ehsani, Azam and Ghane Ostadghassemi, Fateme Helen and Zaj, Marzie},
title = {On ergodicity of Markovian mostly expanding semi-group actions},
journal = {International Journal of Dynamical Systems and Differential Equations},
year = {2020},
volume = {10},
number = {1},
month = {January},
issn = {1752-3583},
pages = {81--93},
numpages = {12},
keywords = {finitely generated semigroup action; backward minimality; strong
transitivity; ergodicity of semigroup actions; non-uniformly expanding property.},
}
%0 Journal Article
%T On ergodicity of Markovian mostly expanding semi-group actions
%A Ehsani, Azam
%A Ghane Ostadghassemi, Fateme Helen
%A Zaj, Marzie
%J International Journal of Dynamical Systems and Differential Equations
%@ 1752-3583
%D 2020
