Luu Hoang Duc


Doctor

Department of Probability and Mathematical Statistics
Research interests: Stochastic Differential Equations


Address
Office: Building A5, Room 107
Tel: +84 24 37563474 / 107
Email: lhduc AT math.ac.vn

Education
 Education

  • Ph.D., 2006, Johann Wolfgang Goethe University, Frankfurt am Main, Germany
  • B.s., 2003, Honor program, Ha Noi University of Science

Professional Experiances

  • 2003-present: Researcher at the Institute of Mathematics, VAST, Hanoi.

 

 PUBLICATIONS


List Publications in MathSciNet

List of recent publications
1Luu Hoang Duc, 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.
2Luu Hoang Duc, 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, Publisher Springer International Publishing.
3Luu Hoang Duc, Stefan Siegmund, A concept of local metric entropy for finite-time nonautonomous dynamical systems, Journal of Difference Equations and Applications, 2016, 1-15.
4Bui Xuan Dieu, Luu Hoang Duc, 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.
5Joseph Páez Chávez, Luu Hoang Duc, Doan Thai Son, 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.
6Luu Hoang Duc, 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.
7Luu Hoang Duc, 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.
8Luu Hoang Duc, S. Siegmund, Existence of finite-time hyperbolic trajectories for planar Hamiltonian flows,  Journal of Dynam. Differential Equations  23 (2011), 475 -- 494.
9Luu Hoang Duc, Stefan Siegmund, Hyperbolicity and invariant manifolds for planar nonautonomous systems on finite time interval, International Journal of Bifurcation and Chaos, 18 (2008), 641-674.
10Luu Hoang Duc, Achim Ilchmann, Stefan Siegmund and Peter Taraba , On stability of linear time-varying second-order differential equations,  Quart. Appl. Math. 64 (2006), 137–151.
11 Hans, Luu Hoang Duc, Stefan, Crauel, Siegmund, Towards a Morse theory for random dynamical systems. Stoch. Dyn. 4 (2004), 277–296.
12Luu Hoang Duc, On the absolute regularity of linear random dynamical systems, Stoch. Dyn. 3 (2003), 453–461.
Preprints
1Luu Hoang Duc, Phan Thanh Hong, Young differential delay equations driven by Hölder continuous paths, https://arxiv.org/abs/1802.03193.
2Luu Hoang Duc, Tat Dat Tran, Jürgen Jost, Ergodicity of scalar stochastic differential equations with Hölder continuous coefficients. Stochastic Processes and their Applications, in press.
3Nguyen Dinh Cong, Luu Hoang Duc, Phan Thanh Hồng, Nonautonomous Young Differential Equations Revisited, Journal of Dynamics and Differential Equations,