Lưu Hoàng Đức
TS. NCV

Phòng Toán rời rạc, Xác suất và Thống kê
Hướng nghiên cứu: Xác suất và thống kê


Liên hệ
Phòng làm việc: 107, Nhà A5
Điện thoại: +84 24 37563474 / 107
Email: lhduc AT math.ac.vn

Lý lịch khoa hoc
Quá trình đào tạo:

  • Bảo vệ Luận án Tiến sĩ Toán học tại Đại học Khoa học Johann Wolfgang Goethe University, Frankfurt am Main, Đức năm 2006.
  • Tốt nghiệp Hệ đào tạo cử nhân tài năng, Đại học Khoa học Tự nhiên, Đại học Quốc gia Hà Nội năm 2003


Quá trình công tác

  • 2003-đến nay: Công tác tại Viện Toán học, Viện Hàn lâm Khoa học và Công nghệ Việt Nam

DANH SÁCH CÔNG TRÌNH

Danh sách trong Mathscinet

Danh sách gần đây
1Nguyễn Đình Công, Lưu Hoàng Đức, Phan Thanh Hong, Numerical Attractors via Discrete Rough Paths, Journal of Dynamics and Differential Equations, Volume 37, pages 727–748, (2025), (SCI-E, Scopus).
2Lưu Hoàng Đức, Peter Kloeden, Numerical attractors for rough differential equations, SIAM Journal on Numerical Analysis, Vol. 61, Iss. 5 (2023)10.1137/22M1497833, (SCI-E, Scopus).
3Lưu Hoàng Đức, Jürgen Jost, How Rough Path Lifts Affect Expected Return and Volatility: A Rough Model under Transaction Cost. SIAM Journal on Financial MathematicsVol. 14, Iss. 3 (2023), (SCI-E, Scopus).
4Lưu Hoàng Đức, Phan Thanh Hong, Asymptotic Dynamics of Young Differential Equations, Journal of Dynamics and Differential Equations volume 35, pages 1667–1692 (2023), (SCI-E, Scopus).
5Lưu Hoàng Đức, Controlled differential equations as rough integrals, Pure and Applied Functional Analysis Vol 7 (2022) 1245-1271.
6Lưu Hoàng Đức, Exponential stability of stochastic systems: A pathwise approach, Stochastics and Dynamics, Vol. 22, (2022) 2240012, (SCI-E, Scopus).
7Nguyễn Đình Công, Lưu Hoàng Đức, Phan Thanh Hong, Pullback attractors for stochastic Young differential delay equations, Journal of Dynamics and Differential Equations, 34 (2022), 605–636, (SCI-E, Scopus).
8Lưu Hoàng Đức, Random attractors for dissipative systems with rough noises, Discrete Continuous Dynamical Systems, 42 (2022), 1873–1902, (SCI-E, Scopus).
9Nguyễn Đình Công, Lưu Hoàng Đức, Phan Thanh Hồng, Lyapunov spectrum of nonautonomous linear Young differential equations, Journal of Dynamics and Differential Equations, 32 (2020), 1749 - 1777, SCI-E; Scopus.
10Lưu Hoàng Đức, Phan Thanh Hong, Nguyễn Đình Công, Asymptotic Stability for Stochastic Dissipative Systems with a Hölder Noise, SIAM Journal on Control and Optimization, 57(2019), 3046–3071. (26 pages), SCI(-E), Scopus.
11Marius E. Yamakou, Tat Dat Tran, Lưu Hoàng Đức, Jürgen Jost, The stochastic Fitzhugh–Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model. Journal of Mathematical Biology, 79 (2019), pp 509–532, SCI-(E), Scopus.
12Eugenio J. Llanos, Wilmer Leal, Lưu Hoàng Đức, Jürgen Jost, Peter F. Stadler, Guillermo Restrepo, Exploration of the chemical space and its three historical regimes, Proceedings of the National Academy of Sciences of the United States of America, (26) 2019, 12660-12665, SCI-(E), Scopus.
13Lưu Hoàng Đức, Stefan Siegmund, A concept of local metric entropy for finite-time nonautonomous dynamical systems, Journal of Difference Equations and Applications, 24 (2018),165–179, SCI(-E); Scopus.
14Nguyễn Đình Công, Lưu Hoàng Đức, Phan Thanh Hong, Nonautonomous Young Differential Equations Revisited, Journal of Dynamics and Differential Equations, 30 (2018) pp 1921–1943, SCI(-E); Scopus
15Lưu Hoàng Đức, Tat Dat Tran, Jürgen Jost, Ergodicity of scalar stochastic differential equations with Hölder continuous coefficients, Stochastic Processes and their Applications 128 (2018) 3253–3272, SCI(-E); Scopus.
16Lưu Hoàng Đức, Phan Thanh Hong, Young differential delay equations driven by Hölder continuous paths, Modern Mathematics and Mechanics, 2018, 313-333.
17Lưu Hoàng Đức, Maria Jose Garrido-Atienza, Andreas Neuenkirch, Björn Schmalfuß, Exponential stability of stochastic evolution equations driven by small fractional Brownian motion with Hurst parameter in (1/2,1), Journal of Differential Equations, 264 (2018), 1119-1145, SCI(-E); Scopus.
18Lưu Hoàng Đức, Maria Jose Garrido-Atienza, Björn Schmalfuß, Dynamics of SPDEs driven by a small fractional Brownian motion with Hurst parameter larger than 1/2, Festschrift volumen Stochastic Partial Differential Equations and Related Fields, In Honor of Michael Röckner, SPDERF, Bielefeld, Germany, October 10 -14, 2016, Volume 229 (2018),Pages 213-224,Publisher Springer International Publishing.
19Bui Xuan Dieu, Lưu Hoàng Đức, Stefan Siegmund, Nguyen Van Minh, Asymptotic behavior of linear almost periodic differential equations. Mathematical Sciences with Multidisciplinary Applications, Volume 157 of the series Springer Proceedings in Mathematics & Statistics, 113-132.
20Joseph Páez Chávez, Lưu Hoàng Đức, Đoàn Thái Sơn, Stefan Siegmund, Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus–response curves. Journal of Biological Dynamics, 10 (2016), 379-394, SCI(-E); Scopus.
21Lưu Hoàng Đức, Dennis Chrismann, Reinhard Gotzhein, Stefan Siegmund, Fabian Wirth, The stability of try-once-discard for stochastic communication channels: theory and validation. 54th IEEE conference on Decision and Control (CDC), (2015), 4170–4175. DOI: 10.1109/CDC.2015.7402869.
22Lưu Hoàng Đức, Schmalfuß Björn, Siegmund Stefan, A note on the generation of random dynamical systems from fractional stochastic delay differential equations. Stochastics and Dynamics. 15 (2015), 13 pp, SCI(-E), Scopus.
23Lưu Hoàng Đức, S. Siegmund, Existence of finite-time hyperbolic trajectories for planar Hamiltonian flows, Journal of Dynamics and Differential Equations 23 (2011), 475 -- 494, SCI(-E); Scopus.
24Lưu Hoàng Đức, Stefan Siegmund, Hyperbolicity and invariant manifolds for planar nonautonomous systems on finite time interval, International Journal of Bifurcation and Chaos, 18 (2008), 641-674.
25Lưu Hoàng Đức, Achim Ilchmann, Stefan Siegmund and Peter Taraba , On stability of linear time-varying second-order differential equations,  Quart. Appl. Math. 64 (2006), 137–151.
26 Hans, Lưu Hoàng Đức, Stefan, Crauel, Siegmund, Towards a Morse theory for random dynamical systems. Stoch. Dyn. 4 (2004), 277–296.
27Lưu Hoàng Đức, On the absolute regularity of linear random dynamical systems, Stoch. Dyn. 3 (2003), 453–461.
Tiền ấn phẩm
1IMH20241003, Lưu Hoàng Đức, Phan Thanh Hong, Nguyễn Đình Công, Stability criteria for rough systems
2Lưu Hoàng Đức, Jürgen Jost, Mathematical modelling and empirical data analysis of the Covid-19 pandemic,
3IMH20190902, Cao Tan Binh, Lưu Hoàng Đức, Phan Thanh Hong,

On the exponential stability for a class of stochastic differential delay equations with fractional Brownian noises

4IMH20190502, Lưu Hoàng Đức, Asymptotic stability of controlled differential equations. Part II: rough integrals
5IMH20190102, Lưu Hoàng Đức, Stability theory for Gaussian rough differential equations. Part II
6IMH20190101, Lưu Hoàng Đức, Stability theory for Gaussian rough differential equations. Part I.