Dinh Si Tiep

Contact

Scientific CV

Scientific Publications

Publications

1. 1. Dinh Si Tiep, Pham Tien Son, The mountain pass theorem in terms of tangencies, , Journal of Mathematical Analysis and Applications, Volume 554, Issue 1, 1 February 2026, 130000 (2026)
2. 2. Dinh Si Tiep, Nguyen Xuan Viet Nhan, Lipschitz continuity of Lipschitz-Killing curvature densities at infinity, Selecta Mathematica, Volume 31, article number 35, (2025) (2025)
3. 3. Dinh Si Tiep, Guo Feng, Nguyen Hong Duc, Pham Tien Son, Computation of the Łojasiewicz exponents of real bivariate analytic functions, Manuscripta Mathematica . Volume 176, 1 (2025) (2025)
4. 4. Dinh Si Tiep, Feng Guo, Nguyen Hong Duc, Pham Tien Son, Limits of real bivariate rational functions, Journal of Symbolic Computation Volume 129, 2025, 102405 (2025)
5. 5. Dinh Si Tiep, Pham Tien Son, Characterizations of directional openness for set-valued mappings, Pure Appl. Funct. Anal., 8 (2023), no. 4, 1023-1037. (2023)
6. 6. Dinh Si Tiep, Pham Tien Son, Definable continuous mappings and Whyburn's conjecture, Proceedings of the American Mathematical Society 151 (2023), no. 5, 2081--2095, (2023)
7. 7. Dinh Si Tiep, Pham Tien Son, Lipschitz continuity of tangent directions at infinity, Bulletin des Sciences Mathématiques, 182 (2023), 103223 (2023)
8. 8. Dinh Si Tiep, Zbigniew Jelonek, Pham Tien Son, Stability of closedness of semi-algebraic sets under continuous semi-algebraic mappings, Proceedings of the American Mathematical Society, 150 (2022), 3663-3673 (2022)
9. 9. Dinh Si Tiep, Pham Tien Son, Stability of Closedness of Closed Convex Sets under Linear Mappings, Journal of Convex Analysis, 28 (2021), 1281-1291 (2021)
10. 10. Dinh Si Tiep, Guo Feng, Pham Tien Son, Global Łojasiewicz inequalities on comparing the rate of growth of polynomial functions, Journal of Mathematical Analysis and Applications, 499 (2021), 125057, (2021)
11. 11. Dinh Si Tiep, Zbigniew Jelonek, Thom Isotopy Theorem for Nonproper Maps and Computation of Sets of Stratified Generalized Critical Values,, Discrete & Computational Geometry volume 65, pages 279–304 (2021), (2021)
12. 12. Dinh Si Tiep, Krzysztof Kurdyka, Pham Tien Son, Global mixed Łojasiewicz inequalities and asymptotic critical values, Annales Polonici Mathematici, 123 (2019), 259–266 (2019)
13. 13. Dinh Si Tiep, Ha Huy Vui, Pham Tien Son, Hölder-Type Global Error Bounds for Non-degenerate Polynomial Systems, Acta Mathematica Vietnamica, 42 (2017), 563–585 (2017)
14. 14. Dinh Si Tiep, Pham Tien Son, Łojasiewicz inequalities with explicit exponents for smallest singular value functions, Journal of Complexity, 41 (2017), 58-71 (2017)
15. 15. Dinh Si Tiep, Pham Tien Son, Łojasiewicz-type inequalities with explicit exponents for the largest eigenvalue function of real symmetric polynomial matrices, International Journal of Mathematics, 27 (2016), 27 page (2016)
16. 16. Dinh Si Tiep, Krzysztof Kurdyka, Horizontal Gradient of Polynomial Functions for the Standard Engel Structure on $\mathbb R^4$, Journal of Dynamical and Control Systems, 22(2016), 15-34 (2016)
17. 17. Dinh Si Tiep, Pham Tien Son, Ha Huy Vui, A Frank–Wolfe type theorem for nondegenerate polynomial programs, Mathematical Programming, 147(2014), 519-538 (2014)
18. 18. Dinh Si Tiep, Ha Huy Vui, Pham Tien Son, Nguyen Thi Thao, Global Łojasiewicz-type inequality for non-degenerate polynomial maps, Journal of Mathematical Analysis and Applications 410 (2014), 541–560 (2014)
19. 19. Dinh Si Tiep, Krzysztof Kurdyka, Olivier Le Gal, Łojasiewicz inequality on non-compact domains and singularities at infinity, International Journal of Mathematics 24 (2013), 1350079, 8 pp (2013)
20. 20. Dinh Si Tiep, Ha Huy Vui, Nguyen Thi Thao, Lojasiewicz inequality for polynomial functions on non-compact domains, International Journal of Mathematics, 23 (2012), 28p (2012)
21. 21. Patrice Orro, Krzysztof Kurdyka, Dinh Si Tiep, Gradient horizontal de fonctions polynomiales, Annales de l'Institut Fourier, 59 (2009),1999-2042 (2009)

Preprints

1. 1. Dinh Si Tiep, Feng Guo, Nguyen Hong Duc, Pham Tien Son, The numerical range of limits of real rational functions (2026)
2. 2. Dinh Si Tiep, Nguyen Xuan Viet Nhan, Planar extensions in o-minimal structures (2026)
3. 3. Dinh Si Tiep, Pham Tien Son, Nichtnegativstellensatze for definable functions in o-minimal structures, preprint arXiv. (2021)
4. 4. Dinh Si Tiep, Olivier Le Gal, Pham Tien Son, Limits of tangent spaces to definable sets. (2019)

Scientific Activities

Seminar

1. Definable Schoenflies theorem (Part II)
2. Definable Schoenflies theorem