论文信息 - Hausdorff dimension of the multiplicative golden mean shift

Hausdorff dimension of the multiplicative golden mean shift

Abstract We compute the Hausdorff dimension of the “multiplicative golden mean shift” defined as the set of all reals in [ 0 , 1 ] whose binary expansion ( x k ) satisfies x k x 2 k = 0 for all k ⩾ 1 , and show that it is smaller than the Minkowski dimension.

Boris Solomyak | Yuval Peres | Richard Kenyon

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