Hausdorff Dimension Of The Multiplicative Golden Mean Shift
- Richard Kenyon ,
- Yuval Peres ,
- Boris Solomyak
Comptes Rendus Mathematique | , Vol 349: pp. 625-628
We compute the Hausdorff dimension of the “multiplicative golden mean shift” defined as the set of all reals in [0, 1] whose binary expansion (xk) satisfies xkx2k = 0 for all k ≥ 1, and show that it is smaller than the Minkowski dimension