Spectral asymptotics of one-dimensional fractal Laplacians in the absence of second-order identities

来源 :分形与图上的分析研讨会(AFG2016) | 被引量 : 0次 | 上传用户:wzllh
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
  We observe that some self-similar measures defined by finite or infinite iterated function systems with overlaps satisfy certain "bounded measure type condition",which allows us to extract useful measure-theoretic properties of iterates of the measure.
其他文献
会议
  The van der Corput sequences are the most famous low discrepancy sequences.We study these sequences from the view point of dynamical systems.
会议
  We determine the spectrality of digit set D relating to a spectral self-affine measure μM,D.
会议
  In this talk we shall consider the intersection of a Cantor set with its translation,its Hausdorff dimension and self-similarity.
会议
  Revisiting the founding paper of Kahane and Peyriere on the Mandelbrot multiplicative cascade,we attempt to introduce some kind of variant model linked to o
会议
  The talk is based on joint work with Xin Wei and Zhiying Wen.A connected compact subset E of Rn is said to be a strict Whitney set if there exists a real-va
会议
  The Assouad dimension was introduced by Assouad in the 1970s,In the talk,we will first review some basic properties of Assouad dimension.
会议
  The map(cartgraph)gives a geometrical correspondance between the sphere and the plain,and sometimes suggests sequence of Origami instructions for purpose of
会议
  We study higher order tangents and higher order Laplacians on p.c.f.self-similar sets with fully symmetric structures.
会议
  This is a joint work with Prof.S.Kotani(Osaka Univ.).We consider the 1d Schr(o)dinger operator with random potential decaying of order α.
会议