Prof. Helmuth Villavicencio
Área: Dynamical Systems
Summary
Researcher at the Institute of Mathematics and Related Sciences IMCA-UNI. Experience in research projects related to the modeling and prediction of the behavior of chaotic and unstable systems. Member of the Dynamic Systems and Probability research group of the National University of Engineering. Bachelor of Mathematics from the National University of San Marcos. Visiting professor at: Institute of Pure and Applied Mathematics - IMPA, Rio de Janeiro Brazil and University of Bío Bío, Concepción Chile. Areas of interest: Topological Dynamics, Differentiable Dynamics, Ergodic Theory, General Topology and Convex Analysis.
Publications
- Lee, K., Morales, C.A., & Villavicencio, H. (2022 , March). Asymptotic expansivity. Journal of Mathematical Analysis and Applications, 507(1), 125729. URL: https://doi.org/10.1016/j.jmaa.2021.125729, doi:10.1016/j.jmaa.2021.125729
- Badilla, L., Carrasco-Olivera, D., Sirvent, V.F., & Villavicencio, H. (2021 , November). Topological stability for fuzzy expansive maps. Fuzzy Sets and Systems, 425, 34–47. URL: https://doi.org/10.1016/j.fss.2020.11.013, doi:10.1016/j.fss.2020.11.013
- Metzger, R., Morales, C.A., & Villavicencio, H. (2021 , October). Generalized archimedean spaces and expansivity. Topology and its Applications, 302, 107831. URL: https://doi.org/10.1016/j.topol.2021.107831, doi:10.1016/j.topol.2021.107831
- Carrasco-Olivera, D., Lee, K., Morales, C. A., & Villavicencio, H. (2021 , March). Finite-expansivity and n-shadowing. Bulletin of the Brazilian Mathematical Society, New Series, 53(1), 107–126. URL: https://doi.org/10.1007/s00574-021-00253-w, doi:10.1007/s00574-021-00253-w
- Carrasco-Olivera, D., Morales, C. A., & Villavicencio, H. (2020 , December). Stability and expansivity of tent map. Proceedings of the American Mathematical Society, 149(2), 773–786. URL: https://doi.org/10.1090/proc/15244, doi:10.1090/proc/15244
- Villavicencio, H. (2020 , June). On the convergence on the grassmannian. Selecciones Matemáticas, 7(1), 115–122. URL: https://doi.org/10.17268/sel.mat.2020.01.10, doi:10.17268/sel.mat.2020.01.10
- Jung, W., Metzger, R., Morales, C.A., & Villavicencio, H. (2020 , October). A distance between bounded linear operators. Topology and its Applications, 284, 107359. URL: https://doi.org/10.1016/j.topol.2020.107359, doi:10.1016/j.topol.2020.107359
- Bautista, S., Morales, C.A., & Villavicencio, H. (2018 , May). Descriptive set theory for expansive systems. Journal of Mathematical Analysis and Applications, 461(1), 916–928. URL: https://doi.org/10.1016/j.jmaa.2017.12.014, doi:10.1016/j.jmaa.2017.12.014
- MORALES, C. A., THIEULLEN, P., & VILLAVICENCIO, H. (2017 , October). LYAPUNOV EXPONENTS ON METRIC SPACES. Bulletin of the Australian Mathematical Society, 97(1), 153–162. URL: https://doi.org/10.1017/s0004972717000703, doi:10.1017/s0004972717000703
- Aponte, J., & Villavicencio, H. (2017 , September). Shadowable points for flows. Journal of Dynamical and Control Systems, 24(4), 701–719. URL: https://doi.org/10.1007/s10883-017-9381-8, doi:10.1007/s10883-017-9381-8
- Fernández, H. V. (2016 , November). $\less $mml:math xmlns:mml="http://www.w3.org/1998/math/MathML" altimg="si1.gif" overflow="scroll"$\greater $$\less $mml:mi mathvariant="script"$\greater $f$\less $/mml:mi$\greater $$\less $/mml:math$\greater $-expansivity for borel measures. Journal of Differential Equations, 261(10), 5350–5370. URL: https://doi.org/10.1016/j.jde.2016.08.004, doi:10.1016/j.jde.2016.08.004