[3] Dang H Nguyen, Nhu N Nguyen, Trang Ta, and George Yin, ”Stability of Stochastic Functional Differential Equations under Past-Dependent Random Switching with Countably Infinite States”, IEEE Transactions on Automatic Control, vol. 69, no. 3, pp. 1612-1626, 2024.
https://doi.org/10.1109/TAC.2023.3326362
Besides Mathematical Biology, my research interests also include probability limit theory and its statistical applications.
Related publications:
[1] TC Son, NT Duc, LV Dung, and Trang Ta, "General results on the Baum-Katz theorem for randomly weighted sum of pairwise independent random variables via the theory of regular variation" (submitted), 2026.
[2] TC Son, LV Dung, NT Duc, and Trang Ta, "General results on complete convergence for randomly weighted sum of m-asymptotic negatively associated random variables and applications to the nonparametric regression models", Statistical Papers (Under Review), 2025.
[3] TC Son, LV Dung, NT Duc, and Trang Ta, ”A general result on Hsu-Robbins-Erd˝os for randomly weighted sum of ρ^*-mixing processes via the theory of the regular variation and its applications”, Revista de la Real Academia de Ciencias Exactas, F´ısicas y Naturales. Serie A. Matem´aticas (Minor revision), 2025.
[4] TC Son, LV Dung, Dat Do, and Trang Ta, ”Generalized Marcinkiewicz Laws for Weighted Dependent Random Vectors in Hilbert Spaces”, Theory of Probability and its Applications, vol. 67, No. 3, pp. 434–451, 2022. https://doi.org/10.1137/S0040585X97T991039
Stability of random linear difference equations
My undergrad thesis was about the Bohl-Perron Theorem for linear random dynamical systems.
Related Publications:
[1] NH Du, TM Cuong, and Trang Ta, ”Bohl-Perron theorem for random dynamical systems”, Stochastics and Dynamics, vol. 23, no. 1, 2350010, 2023. https://doi.org/10.1142/S0219493723500107