Average distances on self-similar sets and higher order average distances of self-similar measures

作者：Allen D; Edwards H; Harper S; Olsen L^*

来源：Mathematische Zeitschrift, 2017, 287(1-2): 287-324.

DOI：10.1007/s00209-016-1826-3

• Self-similar set
• Self-similar measures
• Average distance
• Moments
• Mellin transform

The purpose of this paper is twofold: (1) we study different notions of the average distance between two points of a self-similar subset of , and (2) we investigate the asymptotic behaviour of higher order average moments of self-similar measures on self-similar subsets of R.

• 出版日期2017-10