On measures simultaneously 2- and 3-invariant
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Publication:1108396
DOI10.1007/BF02766212zbMath0654.28010OpenAlexW1998025851MaRDI QIDQ1108396
Publication date: 1988
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02766212
Measure-preserving transformations (28D05) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)
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Cites Work
- Unnamed Item
- On normal numbers
- The measure of non-normal sets
- PV-numbers and sets of multiplicity
- Riesz Products and Normal Numbers
- Mixing and asymptotic distribution modulo 1
- On the representation of an integer in two different bases.
- Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation