中科院数学与系统科学研究院
数学研究所
学术报告会
报告人：Meng Wu (University of Oulu, Finland)
题 目：On a conjecture of Furstenberg about intersections of Cantor sets.
时 间：2016.08.13（星期六），10:00-11:00
地 点：晨兴110室
Abstract:
Two compact sets E,F of the real line are said to be strongly transverse if for each u and t, the Hausdorff dimension (dim) of the intersection of E and uF+t is bounded by dim(E)+dim(F)-1 or 0, whichever is larger. In the late 60’s, Furstenberg conjectured that two closed sets E,F of [0,1] are strongly transverse if E is invariant under multiplication by 2 (mod 1) and F is invariant under multiplication by 3 (mod 1). In this talk, we will recall some recent progress regarding this conjecture and present a solution.
