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Lucas Backes
Lucas Backes
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Zitiert von
Zitiert von
Jahr
Continuity of Lyapunov exponents for cocycles with invariant holonomies
L Backes, A Brown, C Butler
Journal of Modern Dynamics 12, 223–260, 2018
512018
Shadowing for infinite dimensional dynamics and exponential trichotomies
L Backes, D Dragičević
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 151 (3 …, 2021
372021
Shadowing for nonautonomous dynamics
L Backes, D Dragičević
Advanced nonlinear studies 19 (2), 425-436, 2019
252019
A general approach to nonautonomous shadowing for nonlinear dynamics
L Backes, D Dragičević
Bulletin des sciences mathématiques 170, 102996, 2021
242021
Simplicity of Lyapunov spectrum for linear cocycles over non-uniformly hyperbolic systems
L Backes, M Poletti, P Varandas, Y Lima
Ergodic Theory and Dynamical Systems 40 (11), 2947-2969, 2020
182020
Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles
L Backes, D Dragičević
Annales Academiae Scientiarum Fennicae 44, 183–209, 2019
172019
A variational principle for the metric mean dimension of level sets
L Backes, FB Rodrigues
IEEE Transactions on Information Theory 69 (9), 5485-5496, 2023
142023
Rigidity of fiber bunched cocycles
LH Backes
Bulletin of the Brazilian Mathematical Society, New Series 46, 163-179, 2015
142015
Continuity of Lyapunov exponents is equivalent to continuity of Oseledets subspaces
L Backes, M Poletti
Stochastics and Dynamics 17 (06), 1750047, 2017
132017
Linearization and Hölder continuity for nonautonomous systems
L Backes, D Dragičević, KJ Palmer
Journal of differential equations 297, 536-574, 2021
122021
Cohomology of dominated diffeomorphism-valued cocycles over hyperbolic systems
LH Backes, A Kocsard
Ergodic Theory and Dynamical Systems 36 (6), 1703-1722, 2016
122016
Conditional Lipschitz shadowing for ordinary differential equations
L Backes, D Dragičević, M Onitsuka, M Pituk
Journal of Dynamics and Differential Equations 36 (4), 3535-3552, 2024
112024
Weighted shadowing for delay differential equations
L Backes, D Dragičević, M Pituk, L Singh
Archiv der Mathematik 119 (5), 539-552, 2022
102022
Smooth linearization of nonautonomous coupled systems
L Backes, D Dragičević
Discrete and Continuous Dynamical Systems - Series B 28 (8), 4497-4518, 2023
92023
On the periodic approximation of Lyapunov exponents for semi-invertible cocycles
L Backes
Discrete and Continuous Dynamical Systems - Series A 37 (12), 6353–6368, 2017
92017
A generalized Grobman–Hartman theorem for nonautonomous dynamics
L Backes, D Dragičević
Collectanea mathematica 73 (3), 411-431, 2022
82022
Smooth linearization of nonautonomous dynamics under polynomial behaviour
L Backes, D Dragicevic, W Zhang
arXiv preprint arXiv:2210.04804, 2022
72022
The set of fiber-bunched cocycles with nonvanishing Lyapunov exponents over a partially hyperbolic map is open
L Backes, M Poletti, A Sánchez
Mathematical Research Letters 25 (6), 1719–1740, 2018
72018
Hyers-Ulam stability for hyperbolic random dynamics
L Backes, D Dragičević
Fundamenta Mathematicae 255, 69-90, 2021
62021
Quasi-shadowing for partially hyperbolic dynamics on Banach spaces
L Backes, D Dragičević
Journal of mathematical analysis and applications 492 (1), 124445, 2020
62020
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