Some dynamical properties for free semigroup actions
2018 ◽
Vol 18
(04)
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pp. 1850032
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Keyword(s):
In this paper, we introduce the notions of weakly mixing and totally transitivity for a free semigroup action. Let [Formula: see text] be a free semigroup acting on a compact metric space generated by continuous open self-maps. Assuming shadowing for [Formula: see text] we relate the average shadowing property of [Formula: see text] to totally transitivity and its variants. Also, we study some properties such as mixing, shadowing and average shadowing properties, transitivity, chain transitivity, chain mixing and specification property for a free semigroup action.
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2012 ◽
Vol 204-208
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pp. 4776-4779
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2011 ◽
Vol 2011
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pp. 1-6
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Keyword(s):
2018 ◽
Vol 39
(10)
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pp. 2793-2826
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2016 ◽
Vol 38
(1)
◽
pp. 143-154
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Keyword(s):
2016 ◽
Vol 09
(01)
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pp. 1650007
2017 ◽
Vol 38
(6)
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pp. 2108-2131
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