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On arithmetic sums of fractal sets
Author: Release time:2018-05-23 Number of clicks:

Title: On arithmetic sums of fractal sets

Speaker: Dejun Feng

Affiliation: The Chinese University of Hong Kong

Time: 2018-5-25 15:00-16:00

Venue: Room 203 Lecture Hall

abstract:Let $E$ be a compact subset of ${\Bbb R}^d$. For $n\in {\Bbb N}$, let $\oplus_nE=E+\cdots+E$ be the $n$-fold arithmetic sum of $E$. In this talk, we consider the general question whether $\oplus_nE$ has non-empty interior for large $n$. We give a confirmative answer under the assumption that the ``thickness'' of $E$ is positive. The assumption is fulfilled by many natural fractal sets. This is based on joint work with Yufeng Wu.



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