Research Interest: Dynamical Systems

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  Topological Dynamics
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  Differentiable Dynamics
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  Shadowing Theory
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  Measurable Dynamics
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  Group Action Dynamics
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  Infinite Dimensional Dynamical Systems

Editorship

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  Dynamical Systems : An International Journal : Editor
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  Journal of the Korean Mathematical Society : Editor

Publications (since 2016)

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  Gromov-Hausdorff variational principles and measure stability (with C. Morales and N. Nguyen), Nonlinearity 37 (2024), 045005.
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  Topologically stable linear operators (with C. Morales and N. Nguyen), ​Bulletin de la Société Mathématique de France 151 (2023), 647-657.
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  Stability of geometric separating flows (with T. Nguyen and A. Rojas), Journal of Dynamical and Control Systems 29 (2023), 2005-2064.
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  Singular strange attractors beyond the boundary of hyperbolic flows (with C.A. Morales and M.J. Pacifico), Journal of Differential Equations 345 (2023), 104-129.
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  Eventually expansive semiflows (with A. Rojas), Communications on Pure and Applied Analysis 21 (2022), 3335351.
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  Asymptotic expansivity (with C.A. Morales and H. Villavicencio), Journal of Mathematical Analysis and Applications 507 (2022), 125729.
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  Hyperbolicity, Shadowing, and Bounded Orbits (with C.A. Morales), Qualitative Theory of Dynamical Systems 21 (2022), doi.org/10.1007/s12346-022-00588-9
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  Generalized hyperbolic sets on Banach spaces (with A. Rojas), Acta Math. Hungar 168 (2022), 637.
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  On Almost Shadowable Measures (with A. Rojas), Russian Journal of Nonlinear Dynamics 18 (2022), 29707.
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  Gromov-Hausdorff Stability for group action (with M. Dong and C.A. Morales), Discrete and Continuous Dynamical Systems 41 (2021), 1347-1357.
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  Spectral decomposition and stability of mild expansive systems (with Tien Le, N. Nguyen), Topological Methods in Nonliear Analysis (2020).
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  Spectral decomposition and Omega-stability of flows with expanding measures (with N. Nguyen), Journal of Differential Equations 269 (2020), 7574-7604.
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  Some generalizations of distality (with J. Aponte, D. Carrasco-Olivera, C.A. Morales), Topological Mathods in Nonlinear Analysis (2020), 533-552.
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  Expanding measures for homeomorphisms with eventually shadowing property, (with M. Dong and N. Nguyen), Journal of the Korean Mathematical Society (2020), 935-955.
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  Dynamic of G-processes (with W. Jung and C.A. Morales), Stochastics and Dynamics 20 (2020), 2050037.
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  Rigidity of group actions (with W. Jung, C.A. Morales, J. Oh), Discrete and Continuous Dynamical Systems (2020), 2020doi: 10.3934/dcds.2020130.
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  Pointwise topological stability and persistence (with M. Dong and C.A. Morales), Journal of Mathematical Analysis and Applications 480 (2019), 123334.
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  Measure N-expansive systems (with C.A. Morales and B.S. Martin), Journal of Differential Equations 267 (2019), 2053-2082.
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  On the set of expansive measures (with C.A. Morales and B. Shin), Communications in Contemporary Mathematics 20 (2018), 1750086.
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  Various expansive measures for flows (with C.A. Morales and N. Nguyen), Journal of Differential Equations 256 (2018), 2280-2295.
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  Pointwise Topological Stability (with N. Koo and C.A. Morales), Proceedings of the Edinburgh Mathematical Society 61 (2018), 1179-1191.
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  Topological stability and spectral decomposition for homeomorphisms on noncompact spaces (with N. Nguyen and Y. Yang), Discrete and Continuous Dynamical Systems 38 (2018), 2487-2503.
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  Topological stability and POTP of group actions (with N. P. Chung), Proceedings of the American Mathematical Society 146 (2018), 1047-1057.
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  Robustly shadowable chain transitive sets and hyperbolicity (with M. Reza), Dynamical Systems : An International Journal 33 (2017), 602-621.
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  Distal points for Borel measures (with C. A. Morales), Topology and its Applications 221 (2017), 524-533.
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  Topological stability and pseudo-orbit tracing property for expansive measures (with C.A. Morales), Journal of Differential Equations 262 (2017), 3467-3487.
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  Weak measure expansive flows (with J. Oh), Journal of Differential Equations 260 (2016), 1078-1090.
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  Measure-expansive homoclinic classes (with M. Lee), Osaka Journal of Mathematics 53 (2016), 873-887.
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  Positively measure-expansive differentiable maps (with M. Lee, K. Moriyasu, K. Sakai), Journal of Mathematical Analysis and Applications 435 (2016), 492-507.