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Dyadic approximation in the Cantor set

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  • UserSam Chow (Warwick University)
  • ClockTuesday 19 November 2019, 14:30-15:30
  • HouseMR13.

If you have a question about this talk, please contact Jack Thorne.

One variation of Furstenberg’s times 2 times 3 phenomenon is that the base 2 and base 3 expansions of a number are roughly independent. We present a manifestation in metric diophantine approximation. For a typical element of the middle-third Cantor set, we examine the rate of approximation by dyadic rationals. This is joint with Demi Allen (Bristol) and Han Yu (Cambridge).

This talk is part of the Number Theory Seminar series.

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