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
Xuất bản mới
Vo Si Trong Long,
Nguyễn Mậu Nam,
Jacob Sharkansky,
Nguyễn Đông Yên,
Qualitative properties of k-center problems,
Journal of Optimization Theory and Applications Vol. 207 (2025), Paper 1, 23 pages
(SCI-E, Scopus)
.
Nguyễn Khoa Sơn,
Nguyễn Thị Hồng,
Lê Văn Ngọc,
Stability conditions for a class of nonlinear timevarying switched systems with delays and sectortype nonlinearities,
International Journal of Systems Science, Volume 57(2), (2025), 441-461
(SCI(-E); Scopus)
.
Trần Văn Thắng,
Lê Xuân Thanh,
Đỗ Thị Thùy,
A monotonic optimization approach to mixed variational inequality problems,
Optimization Letters, Volume 19, pages 1779–1800, (2025)
(SCI-E, Scopus)
.