Equipartition of interval partitions and an application to number theory

Dajani, Karma; Fieldsteel, Adam

doi:10.1090/S0002-9939-01-06299-2

Equipartition of interval partitions and an application to number theory
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Proc. Amer. Math. Soc. 129 (2001), 3453-3460 Request permission

Abstract:

We give wider application and simpler proofs of results describing the rate at which the digits of one number-theoretic expansion determine those of another. The proofs are based on general measure-theoretic covering arguments and not on the dynamics of specific maps.

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