作者：ASCHBACHER, M; SEGEV, Y
作者单位：Ben-Gurion University of the Negev
作者：KENYON, R; PERES, Y
作者单位：Hebrew University of Jerusalem
摘要：Given two Cantor sets X and Y in [0, 1), invariant under the map x bar-arrow-pointing-right b x mod 1, the Hausdorff dimension of (X + t) intersection Y is constant almost everywhere. When X, Y are defined by admissible digits in base b, and more generally by sofic systems, we compute this dimension in terms of the largest Lyapunov exponent of a random product of matrices. The results are extended to higher dimensions and multiple intersections.
