THEASYMPTOTICAVERAGESHADOWING PROPERTYANDSTRONGERGODICITY
Publish place: Regional Conference on Recent Researchs in Mathematics
Publish Year: 1390
نوع سند: مقاله کنفرانسی
زبان: English
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شناسه ملی سند علمی:
RCRRM01_051
تاریخ نمایه سازی: 28 تیر 1390
Abstract:
Let X beacompactmetricspaceand f : X Xbeacontinuousmap.Weprovethatif f hasasymptoticaverageshadowingpropertyandtheminimalpointsof f aredensein X,thenf isweaklymixingandtotallystronglyergodic.Asacorollaryweobtainthatif f isdistal,then f doesnothavetheasymptoticaverage-shadowingproperty
Keywords:
asymptotic average shadowing prop-erty , topologicalergodic , stronglyergodic , minimalpoint , distalmap
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