Luis Hern'andez-Corbato

activity

20132024

most citedAbout the homological discrete Conley index of isolated invariant acyclic continua

12 citations · 15 across the 5 of their papers we have counts for

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3 papers · 1 filter

math.DS2023

On the growth rate inequality for self-maps of the sphere

Héctor Barge, Luis Hernández-Corbato

Let $S^{m} = {x_{0}^{2} + x_{1}^{2} + \dots + x_{m}^{2} = 1}$ and $P = {x_{0} = x_{1} = 0} \cap S^{m}$ . Suppose that $f$ is a self--map of $S^{m}$ such that $f^{- 1} (P) = P$ and $|\mathrm{deg}(f_{|P…

math.DS2020★ 3 cited

Parrondo's paradox for homeomorphisms

Armengol Gasull, Luis Hernández-Corbato, Francisco R. Ruiz del Portal

We construct two planar homeomorphisms $f$ and $g$ for which the origin is a globally asymptotically stable fixed point whereas for $f \circ g$ and $g \circ f$ the origin is a glob…

math.DS2013★ 12 cited

About the homological discrete Conley index of isolated invariant acyclic continua

Luis Hernández-Corbato, Patrice Le Calvez, Francisco R. Ruiz del Portal

This article includes an almost self-contained exposition on the discrete Conley index and its duality. We work with a local homeomorphism of $\mathds{R}^d$ and an invariant and is…