Title: On Assouad dimension and arithmetic progressions in sets defined by digit restrictions
Speaker: Jinjun Li
Affiliation:Guangzhou University
Time: 2018-5-25 14:00-15:00
Venue: Room 203 Lecture Hall
abstract:In this talk, I will show that the set defined by digit restrictions contains arbitrarily long arithmetic progressions if and only if its Assouad dimension is one. Moreover, I will computer the Fourier dimenison of the sets defined by digit restrictions and present some further problems