On the density at infinity of definable maps

Người báo cáo: Nguyễn Xuân Việt Nhân (Đại học FPT)

Time: 9:30 -- 11:00, April 10, 2024.

Venue: Room 612, A6, Institute of Mathematics, VAST

Abstract: Consider a $C^2$-definable map $f: mathbb{R}^nto mathbb{R}^k$. We aim to understand the behavior of the fibers of $f$ at infinity. In this talk, we present a proof that the density at infinity of fibers of $f$ is locally Lipschitz outside the set of asymptotic critical values. This is a joint work with Dinh Si Tiep.

  Hoạt động tuần
Xuất bản mới
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
Adam Czornik, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Pole Placement Theorem for Linear Measurable Time-Varying Control Systems with Single Input, SIAM Journal on Control and Optimization, Vol. 64, Iss. 4 (2026)
Đinh Nho Hào, Maxim Shishlenin, Van Ba Cong, Stable Numerical Solution to Multi-dimensional Nonlinear Inverse Heat Conduction Problems via Artificial Neural Networks, Lobachevskii Journal of Mathematics, Volume 47, pages 1213–1232 (2026)