Hoang Duc Luu
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstr. 22
04103 Leipzig
Germany
Office: A3 09
Contact:
Email
Phone:
+49 341 9959 535
Fax:
+49 341 9959 658
Hoang Duc Luu
Publications
Journal Articles
Cong, Nguyen Dinh ; Luu, Hoang Duc and Hong, Phan Thanh:
Lyapunov spectrum of nonautonomous linear Young differential equations
In: Journal of dynamics and differential equations,
Vol. not yet known, pp. not yet known
Bibtex DOI: 10.1007/s10884-019-09780-z ARXIV: https://arxiv.org/abs/1807.02680Llanos, Eugenio J. ; Leal, Wilmer ; Luu, Hoang Duc ; Jost, Jürgen ; Stadler, Peter F. and Restrepo, Guillermo:
Exploration of the chemical space and its three historical regimes
In: Proceedings of the National Academy of Sciences of the United States of America,
116 (2019) 26, p. 12660-12665
Bibtex DOI: 10.1073/pnas.1816039116Llanos, Eugenio J. ; Leal, Wilmer ; Luu, Hoang Duc ; Jost, Jürgen ; Stadler, Peter F. and Restrepo, Guillermo:
Correction: 'Exploration of the chemical space and its three historical regimes' [116
(2019) 26, 12660-12665]
In: Proceedings of the National Academy of Sciences of the United States of America,
116 (2019) 29, p. 14779-14779
Bibtex DOI: 10.1073/pnas.1910465116Luu, Hoang Duc ; Hong, Phan Thanh and Cong, Nguyen Dinh:
Asymptotic stability for stochastic dissipative systems with a Hölder noise
In: SIAM journal on control and optimization,
57 (2019) 4, p. 3046-3071
Bibtex DOI: 10.1137/19M1236527 ARXIV: https://arxiv.org/abs/1812.04556Yamakou, Marius Emar ; Tran, Tat Dat ; Luu, Hoang Duc and Jost, Jürgen:
The stochastic Fitzhugh-Nagumo neuron model in the excitable regime embeds a leaky
integrate-and-fire model
In: Journal of mathematical biology,
79 (2019) 2, p. 509-532
Bibtex MIS-Preprint: 45/2018 DOI: 10.1007/s00285-019-01366-z ARXIV: https://arxiv.org/abs/1806.07149Cong, Nguyen Dinh ; Luu, Hoang Duc and Hong, Phan Thanh:
Nonautonomous Young differential equations revisited
In: Journal of dynamics and differential equations,
30 (2018) 4, p. 1921-1943
Bibtex DOI: 10.1007/s10884-017-9634-y ARXIV: https://arxiv.org/abs/1705.07473Luu, Hoang Duc ; Garrido-Atienza, María J. ; Neuenkirch, Andreas and Schmalfuß, Björn:
Exponential stability of stochastic evolution equations driven by small fractional
Brownian motion with Hurst parameter in (1/2,1)
In: Journal of differential equations,
264 (2018) 2, p. 1119-1145
Bibtex DOI: 10.1016/j.jde.2017.09.033 ARXIV: https://arxiv.org/abs/1705.01573Luu, Hoang Duc and Siegmund, Stefan:
A concept of local metric entropy for finite-time nonautonomous dynamical systems
In: Journal of difference equations and applications,
24 (2018) 2, p. 165-179
Bibtex DOI: 10.1080/10236198.2016.1267154 ARXIV: https://arxiv.org/abs/1401.6664Luu, Hoang Duc ; Tran, Tat Dat and Jost, Jürgen:
Ergodicity of scalar stochastic differential equations with Hölder continuous
coeffcients
In: Stochastic processes and their applications,
128 (2018) 10, p. 3253-3272
Bibtex MIS-Preprint: 58/2016 DOI: 10.1016/j.spa.2017.10.014 ARXIV: https://arxiv.org/abs/1608.06785Luu, Hoang Duc ; Paez Chavez, Joseph ; Son, Doan Thai and Siegmund, Stefan:
Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection
of stimulus-response curves
In: Journal of biological dynamics,
10 (2016) 1, p. 379-394
Bibtex DOI: 10.1080/17513758.2016.1204016Luu, Hoang Duc ; Schmalfuß, Björn and Siegmund, Stefan:
A note on the generation of random dynamical systems from fractional stochastic delay
differential equations
In: Stochastics and dynamics,
15 (2015) 3, 1550018
Bibtex DOI: 10.1142/S0219493715500185Siegmund, Stefan and Luu, Hoang Duc:
A new concept of local metric entropy for finite-time nonautonomous dynamical systems
[In: Mixing, transport and coherent structures : 26 January - 1 February 2014 ; report
no. 04/20014]
In: Oberwolfach reports,
11 (2014) 1, p. 262-264
Bibtex DOI: 10.4171/OWR/2014/04 ARXIV: https://arxiv.org/abs/1401.6664Luu, Hoang Duc and Siegmund, Stefan:
Existence of finite-time hyperbolic trajectories for planar Hamiltonian flows
In: Journal of dynamics and differential equations,
23 (2011) 3, p. 475-494
Bibtex DOI: 10.1007/s10884-011-9211-8Luu, Hoang Duc and Siegmund, Stefan:
Hyperbolicity and invariant manifolds for planar nonautonomous systems on finite time
intervals
In: International journal of bifurcation and chaos in applied sciences and engineering,
18 (2008) 3, p. 641-674
Bibtex DOI: 10.1142/S0218127408020562 LINK: https://www.semanticscholar.org/paper/Hyperbolicity-and-Invariant-Manifolds-for-Planar-on-Duc-Siegmund/401f47cc89719023cbfbb483ed28dc63b4fc26f1Luu, Hoang Duc ; Ilchmann, Achim ; Siegmund, Stefan and Taraba, Peter:
On stability of linear time-varying second-order differential equations
In: Quarterly of applied mathematics,
64 (2006) 1, p. 137-151
Bibtex LINK: https://www.jstor.org/stable/43638716Crauel, Hans ; Luu, Hoang Duc and Siegmund, Stefan:
Towards a Morse theory for random dynamical systems
In: Stochastics and dynamics,
4 (2004) 3, p. 277-296
Bibtex DOI: 10.1142/S0219493704001073 LINK: https://www.researchgate.net/publication/228687989_Towards_a_Morse_theory_for_random_dynamical_systemsLuu, Hoang Duc:
On the absolute regularity of linear random dynamical systems
In: Stochastics and dynamics,
3 (2003) 4, p. 453-461
Bibtex DOI: 10.1142/S021949370300084X LINK: https://www.researchgate.net/publication/259899972_ON_THE_ABSOLUTE_REGULARITY_OF_LINEAR_RANDOM_DYNAMICAL_SYSTEMSPublications in Books and Conference Proceedings
Luu, Hoang Duc and Hong, Phan Thanh:
Young differential delay equations driven by Hölder continuous paths
In: Modern mathematics and mechanics : fundamentals, problems and challenges / Victor A. Sadovnichiy... (eds.)
Cham : Springer, 2019. - P. 313-333
(Understanding complex systems)
Bibtex DOI: 10.1007/978-3-319-96755-4_17 ARXIV: https://arxiv.org/abs/1802.03193Luu, Hoang Duc ; Garrido-Atienza, María J. and Schmalfuß, Björn:
Dynamics of SPDEs driven by a small fractional Brownian motion with Hurst parameter
larger than 1/2
In: Stochastic partial differential equations and related fields : in honor of Michael
Röckner, SPDERF, Bielefeld, Germany, October 10-14, 2016 / Andreas Eberle... (eds.)
Cham : Springer, 2018. - P. 213-224
(Springer proceedings in mathematics and statistics ; 229)
Bibtex DOI: 10.1007/978-3-319-74929-7_11Dieu, Bui Xuan ; Luu, Hoang Duc ; Siegmund, Stefan and Minh, Nguyen Van:
Asymptotic behavior of linear almost periodic differential equations
In: Mathematical sciences with multidisciplinary applications : in honor of Professor
Christiane Rousseau and in recognition of the mathematics for planet earth initiative / Bourama Toni (ed.)
Cham : Springer, 2016. - P. 113-132
(Springer proceedings in mathematics and statistics ; 157)
Bibtex DOI: 10.1007/978-3-319-31323-8_7 ARXIV: https://arxiv.org/abs/1212.0813Luu, Hoang Duc ; Christmann, Dennis ; Gotzhein, Reinhard ; Siegmund, Stefan and Wirth, Fabian:
The stability of Try-Once-Discard for stochastic communication channels : theory and
validation
In: 54th IEEE Conference on Decision and Control, December 15-18, 2015, Osaka, Japan / Yoshito Ohta... (eds.)
Bibtex DOI: 10.1109/CDC.2015.7402869[Osaka] : IEEE, 2015. - P. 4170-4175
Preprints
Jost, Jürgen ; Lê, Hông Vân ; Luu, Hoang Duc and Tran, Tat Dat:
Probabilistic mappings and Bayesian nonparametrics
Bibtex MIS-Preprint: 43/2019 ARXIV: https://arxiv.org/abs/1905.11448
Luu, Hoang Duc:
Stability theory for Gaussian rough differential equations Part I.
Bibtex MIS-Preprint: 1/2019 ARXIV: https://arxiv.org/abs/1901.00315
Luu, Hoang Duc:
Stability theory for Gaussian rough differential equations Part II.
Bibtex MIS-Preprint: 2/2019 ARXIV: https://arxiv.org/abs/1901.01586
Luu, Hoang Duc:
Random attractors for rough differential equations
Luu, Hoang Duc and Hong, Phan Thanh:
Asymptotic dynamics of Young differential equations : a unified approach