On the density at infinity of definable maps

Người báo cáo: Nguyễn Xuân Viết 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.

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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) .