Hoang Duc Luu
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstr. 22
04103 Leipzig
Germany
Office: A3 07
Contact:
Email
Phone:
+49 341 9959 527
Fax:
+49 341 9959 658
Hoang Duc Luu
Publications
Journal Articles
Hoang Duc Luu and Phan Thanh Hong:
Asymptotic dynamics of Young differential equations
In: Journal of dynamics and differential equations,
35 (2023) 2, p. 1667-1692
Bibtex DOI: 10.1007/s10884-021-10095-1 ARXIV: https://arxiv.org/abs/1905.04945Nguyen Dinh Cong ; Hoang Duc Luu and Phan Thanh Hong:
Pullback attractors for stochastic Young differential delay equations
In: Journal of dynamics and differential equations,
34 (2022) 1, p. 605-636
Bibtex DOI: 10.1007/s10884-020-09894-9 ARXIV: https://arxiv.org/abs/2005.09823Hoang Duc Luu:
Exponential stability of stochastic systems : a pathwise approach
In: Stochastics and dynamics,
22 (2022) 3, 2240012
Bibtex DOI: 10.1142/s0219493722400123Hoang Duc Luu:
Controlled differential equations as rough integrals
In: Pure and applied functional analysis : an international journal,
7 (2022) 4, p. 1245-1271
Bibtex MIS-Preprint: 78/2020 ARXIV: https://arxiv.org/abs/2007.06295 LINK: http://yokohamapublishers.jp/online2/oppafa/vol7/p1245.htmlHoang Duc Luu:
Random attractors for dissipative systems with rough noises
In: Discrete and continuous dynamical systems / A,
42 (2022) 4, p. 1873-1902
Bibtex MIS-Preprint: 97/2020 DOI: 10.3934/dcds.2021176Nguyen Dinh Cong ; Hoang Duc Luu and Phan Thanh Hong:
Lyapunov spectrum of nonautonomous linear Young differential equations
In: Journal of dynamics and differential equations,
32 (2020) 4, p. 1749-1777
Bibtex DOI: 10.1007/s10884-019-09780-z ARXIV: https://arxiv.org/abs/1807.02680Eugenio J. Llanos ; Wilmer Leal ; Hoang Duc Luu ; Jürgen Jost ; Peter F. Stadler and Guillermo Restrepo:
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.1816039116Eugenio J. Llanos ; Wilmer Leal ; Hoang Duc Luu ; Jürgen Jost ; Peter F. Stadler and Guillermo Restrepo:
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.1910465116Hoang Duc Luu ; Phan Thanh Hong and Nguyen Dinh Cong:
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/1812.04556Marius Emar Yamakou ; Tat Dat Tran ; Hoang Duc Luu and Jürgen Jost:
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/1806.07149Nguyen Dinh Cong ; Hoang Duc Luu and Phan Thanh Hong:
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/1705.07473Hoang Duc Luu ; María J. Garrido-Atienza ; Andreas Neuenkirch and Björn Schmalfuß:
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/1705.01573Hoang Duc Luu and Stefan Siegmund:
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/1401.6664Hoang Duc Luu ; Tat Dat Tran and Jürgen Jost:
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/1608.06785Hoang Duc Luu ; Joseph Paez Chavez ; Doan Thai Son and Stefan Siegmund:
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: 10.1080/17513758.2016.1204016Hoang Duc Luu ; Björn Schmalfuß and Stefan Siegmund:
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/S0219493715500185Stefan Siegmund and Hoang Duc Luu:
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/1401.6664Hoang Duc Luu and Stefan Siegmund:
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/s10884-011-9211-8Hoang Duc Luu and Stefan Siegmund:
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/401f47cc89719023cbfbb483ed28dc63b4fc26f1Hoang Duc Luu ; Achim Ilchmann ; Stefan Siegmund and Peter Taraba:
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/43638716Hans Crauel ; Hoang Duc Luu and Stefan Siegmund:
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/228687989Hoang Duc Luu:
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/259899972Publications in Books and Conference Proceedings
Wilmer Leal ; Eugenio J. Llanos ; Andrés Bernal ; Guillermo Restrepo ; Hoang Duc Luu ; Jürgen Jost and Peter F. Stadler:
Exploring the hypergraph structure underlying the chemical space
In: NetSci-X 2020 Tokyo : international school and conference on network Science
Bibtex Hoang Duc Luu and Phan Thanh Hong:
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/1802.03193Hoang Duc Luu ; María J. Garrido-Atienza and Björn Schmalfuß:
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_11Bui Xuan Dieu ; Hoang Duc Luu ; Stefan Siegmund and Nguyen Van Minh:
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/1212.0813Hoang Duc Luu ; Dennis Christmann ; Reinhard Gotzhein ; Stefan Siegmund and Fabian Wirth:
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
Hoang Duc Luu and Jürgen Jost:
How rough path lifts affect expected return and volatility : a rough model under transaction
cost
Repository Open AccessDinh Truong Nguyen ; Hoang Duc Luu and Phan Thanh Hong:
Numerical attractors via discrete rough paths
Repository Open AccessHoang Duc Luu and Peter E. Kloeden:
Numerical attractors for rough differential equations
Repository Open AccessHoang Duc Luu and Jürgen Jost:
To forecast the spread of the novel coronavirus, we must attend to the quality and
consistency of the data
Bibtex LINK: https://santafe.edu/news-center/news/transmission-luu-hoang-duc-and-jurgen-jost-making-most-bad-data
Repository Open AccessHoang Duc Luu and Jürgen Jost:
Mathematical modelling and empirical data analysis of the Covid-19 pandemic
Repository Open AccessHoang Duc Luu:
Stability theory for Gaussian rough differential equations I
Bibtex MIS-Preprint: 1/2019 ARXIV: https://arxiv.org/abs/1901.00315
Repository Open AccessHoang Duc Luu:
Stability theory for Gaussian rough differential equations II
Bibtex MIS-Preprint: 2/2019 ARXIV: https://arxiv.org/abs/1901.01586
Repository Open AccessHoang Duc Luu:
Asymptotic stability of controlled differential equations II : rough integrals
Repository Open Access