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Nested Cantor sets

We give sufficient conditions for two Cantor sets of the line to be nested for a positive set of translation parameters. This problem occurs in diophantine approximations. It also occurs as a toy model of the parameter selection for non-uniformly hyperbolic attractors of the plane. For natural Cantors sets, we show that this condition is optimal.

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Co-authorshipAuthorshipAuthorshipTopic signalWNested Cantor setspreprint / 2013APierre BergerResearcherACarlos Gustavo MoreiraResearcherTmath.DS4970 works
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Nested Cantor sets

preprint / 2013

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