Publications

 [updated 12 2023]

1. H. Barge, L. Hernández-Corbato: On the growth rate inequality for self-maps of the sphere, accepted for publication in Indiana Univ. Math. J,  (arXiv).

2. L. Hernández-Corbato, D. Nieves-Rivera, F. R. Ruiz del Portal, J. Sánchez-Gabites: On the components of the unstable set of isolated invariant sets, accepted for publication in Topology Appl.

3. L. Hernández-Corbato, D. Nieves-Rivera, F. R. Ruiz del Portal, J. Sánchez-Gabites: Integration in Cech theories and a bound on entropy, (arXiv).

4. A. Gasull, L. Hernández-Corbato, F. R. Ruiz del Portal: Parrondo's paradox for homeomorphisms, Proc. Roy. Soc. Edinburgh Sect. A 152 (2022) 817 - 825 (arXiv).

5. L. Hernández-Corbato, L. Martín-Merchán, F. Presas: Tight neighborhoods of contact submanifolds, J. Symplectic Geom. 18 (2020) 1629-1646 (arXiv).

6. L. Hernández-Corbato, D.J. Nieves-Rivera, F. R. Ruiz del Portal, J. Sánchez-Gabites: Dynamics and eigenvalues in dimension zero, Ergod. Th. Dyn. Syst. 40 (2020) 2434-2452 (arXiv).

7. L. Hernández-Corbato, F. R. Ruiz del Portal, J. Sánchez-Gabites: Infinite series in cohomology: attractors and Conley index, Math. Z., 294 (2020) 1127–1180. (arXiv)

8. L. Hernández-Corbato, F. Presas: The conjugation method in symplectic dynamics, Rev. Mat Iberoam. 35 (2019) 1-22. (arXiv)

9. L. Hernández-Corbato: Accessible points rotate as prime ends in backward or forward time, J. Lond. Math. Soc. (2) 99 (2019) 1-30. (arXiv)

10. L. Hernández-Corbato: An elementary proof of a theorem by Matsumoto, Nagoya Math. J. 227 (2017) 77-85. (arXiv)

11. E. Blanco, L. Hernández-Corbato, F. R. Ruiz del Portal: Uniqueness of dynamicalzeta function and symmetric products, J. Fixed Point Theory Appl. 18 (2016) 689-719. (arXiv)

12. L. Hernández-Corbato: Indices of fixed points not accumulated by periodic points, Topol. Methods Nonlinear Anal. 47 (2016) 647-658. (arXiv)

13. L. Hernández-Corbato, F. R. Ruiz del Portal: Fixed point indices of planar continuous maps, Discrete Contin. Dyn. Syst. 35 (2015) 2979-2995.  (arXiv)

14. L. Hernández-Corbato, P. Le Calvez, F. R. Ruiz del Portal: About the homological discrete Conley index of isolated invariant acyclic continua, Geom. Topol. 17 (2013) 2977-3026.  (arXiv)

15. L. Hernández-Corbato, R. Ortega, F. R. Ruiz del Portal: Attractors with irrational rotation number, Math. Proc. Camb. Phil. Soc. 153 (2012) 59-77. 

PhD thesis (completed under the supervision of Francisco Romero Ruiz del Portal and defended at Universidad Complutense de Madrid):

• • On the dynamics of homeomorphisms around fixed points in low dimension. Sobre la dinámica de homeomorfismos en torno a puntos fijos en dimensión baja. (link)