作者：RAIKOV, GD
摘要：We consider the Schrodinger operator H = - DELTA + W + V acting in L2 (R(m)), m greater-than-or-equal-to 2, with periodic potential W perturbed by a potential V which decays slowly at infinity. We study the asymptotic behaviour of the discrete spectrum of H near any given boundary point of the essential spectrum.
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.
作者：PHEIDAS, T
作者单位：State University System of Florida; Florida International University
作者：FERRY, SC; WEINBERGER, S
作者单位：University of Chicago
