Người báo cáo:
Phạm Văn Thắng
(ĐHKHTN Hà Nội)
Time: 9:30 -- 11:00, June 7th, 2023.
Venue: Room 612, A6, Institute of Mathematics, VAST
Abstract: Let and be compact sets in . One of the fundamental problems in Geometric Measure Theory is to study the relations between the Hausdorff dimensions of , , and , where runs through a set of transformations. Many mathematicians have studied this type of question intensively, including Bishop, Elekes, Falconer, Mattila, Kahane, Keleti, Peres.... In this talk, I discuss recent results on the discrete analog of this topic. Our approach is based on a number of techniques including algebraic methods and discrete Fourier Analysis. This is joint work with Semin
Yoo (KIAS, Korea).