THEASYMPTOTICAVERAGESHADOWING PROPERTYANDSTRONGERGODICITY

Let X beacompactmetricspaceand f : X Xbeacontinuousmap.Weprovethatif f hasasymptoticaverageshadowingpropertyandtheminimalpointsof f aredensein X,thenf isweaklymixingandtotallystronglyergodic.Asacorollaryweobtainthatif f isdistal,then f doesnothavetheasymptoticaverage-shadowingproperty

کلیدواژه ها:

asymptotic average shadowing prop-erty ، topologicalergodic ، stronglyergodic ، minimalpoint ، distalmap