Intersection Patterns: an unexpected application of the Erdos-Falconer distance problem
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 $A$ and $B$ be compact sets in $mathbb{R}^d$. One of the fundamental problems in Geometric Measure Theory is to study the relations between the Hausdorff dimensions of $A$, $B$, and $Acap f(B)$, where $f$ 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).
Tin tức nổi bật
Hoạt động tuần
Hội thảo sắp diễn ra
12/10/26, Hội nghị, hội thảo:
International School and Conference on Differential Equations
13/10/26, Hội nghị, hội thảo:
International Workshop on Optimization, Variational Analysis, and Control Theory
27/10/26, Hội nghị, hội thảo:
Phương trình vi phân và đạo hàm riêng trong Vật lý và Toán học
09/11/26, Hội nghị, hội thảo:
Workshop on singularities and related topics (Conference in memory of Professor Lê Dũng Tráng)
Xuất bản mới
Đỗ Duy Hiếu,
Block-pair edge community detection in bipartite networks via an adaptive spectral-modularity framework,
Computational and Mathematical Organization Theory, Volume 32, article number 31 (2026)
Nguyễn Thị Vân Hằng,
Felipe Lara,
Nguyễn Đông Yên,
Discontinuous strongly quasiconvex functions,
Journal of Optimization Theory and Applications 210 (2026), Paper No. 40, 18 pp.
Đoàn Thái Sơn,
Generic properties of the Lyapunov spectrum of compact operator cocycles on Hilbert spaces,
Journal of Mathematical Analysis and Applications, Article: 131103 Volume: Volume 566, Issue 2 (2027)