Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on 𝕋
2009 ◽
Vol 30
(1)
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pp. 151-157
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Keyword(s):
AbstractWe prove that if a Borel probability measure on the circle group is invariant under the action of a ‘large’ multiplicative semigroup (lower logarithmic density is positive) and the action of the whole semigroup is ergodic then the measure is either Lebesgue or has finite support.
2018 ◽
Vol 40
(4)
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pp. 953-974
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Keyword(s):
1982 ◽
Vol 2
(1)
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pp. 109-124
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2014 ◽
Vol 66
(2)
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pp. 303-322
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Keyword(s):
2021 ◽
Vol 31
(10)
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pp. 2150151
1996 ◽
Vol 120
(4)
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pp. 709-734
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