【摘要】 近年来,发散点引起了数学界的广泛关注.对单测度的发散点,前人已经作了很完备的研究.对有限多个自相似测度的联合发散点的集合,仅其豪斯多夫维数被L.Olsen研究并给出了,然而,我们对其填充维数仍一无所知.因此,本文主要研究联合发散点集合的填充维数.更多还原

【Abstract】 Divergence points have recently generated an enormous interest in the mathematical literature.Previously,divergence points of a single measure have been well investigated.However,for mixed divergence points of finitely many self-similar measures simultaneously,only their Hausdorff dimension has been determined by L.Olsen and nothing is known about their packing dimension.In this paper,we will study the packing dimension of the set of the mixed divergence points.更多还原