Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on $\T$

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dc.creatorEinsiedler, Manfred
dc.creatorFish, Alexander
dc.date2008-04-22
dc.date2008-09-04
dc.date.accessioned2026-07-07T10:00:09Z
dc.date.available2026-07-07T10:00:09Z
dc.descriptionWe prove that if a Borel probability measure (μ) on (\T) 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 (μ) is either Lebesgue or has finite support.
dc.identifierhttps://arxiv.org/abs/0804.3586
dc.identifierhttp://arxiv.org/abs/0804.3586
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168255
dc.subjectDynamical Systems
dc.subject47A35, 22D40
dc.titleRigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on $\T$
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