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
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Xuất bản mới
La Văn Thịnh,
Hoàng Thế Tuấn,
On the Mittag–Leffler Stability of Mixed-Order Fractional Homogeneous Cooperative Delay Systems,
Vietnam Journal of Mathematics, Volume 54, pages 773–789 (2026)
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Sonja Hannibal,
Arnulf Jentzen,
Non-convergence to global minimizers in data driven supervised deep learning: Adam and stochastic gradient descent optimization provably fail to converge to global minimizers in the training of deep neural networks with ReLU activation,
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Le Thi Hong Hanh,
Dương Trọng Luyện,
Nguyễn Minh Trí,
Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations,
Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5