12 citations · 15 across the 5 of their papers we have counts for
7 papers
On the topology of loops of contactomorphisms and Legendrians in non-orderable manifolds
Luis Hernández-Corbato, Javier Martínez-Aguinaga
We study the global topology of the space of loops of contactomorphisms of a non-orderable closed contact manifold . We filter by a quantit…
On the growth rate inequality for self-maps of the sphere
Héctor Barge, Luis Hernández-Corbato
Let and . Suppose that is a self--map of such that and $|\mathrm{deg}(f_{|P…
Integration in Čech theories and a bound on entropy
Luis Hernández-Corbato, David Jesús Nieves-Rivera, Francisco Romero Ruiz del Portal +1
The evaluation of Alexander-Spanier cochains over formal simplices in a topological space leads to a notion of integration of Alexander-Spanier cohomology classes over Čech homolog…
Parrondo's paradox for homeomorphisms
Armengol Gasull, Luis Hernández-Corbato, Francisco R. Ruiz del Portal
We construct two planar homeomorphisms and for which the origin is a globally asymptotically stable fixed point whereas for and the origin is a glob…
Tight neighborhoods of contact submanifolds
Luis Hernández-Corbato, Lucía Martín-Merchán, Francisco Presas
We prove that any small enough neighborhood of a closed contact submanifold is always tight under a mild assumption on its normal bundle. The non-existence of --small positive…
The conjugation method in symplectic dynamics
Luis Hernández-Corbato, Francisco Presas
We prove the existence of minimal symplectomorphisms and strictly ergodic contactomorphisms on manifolds which admit a locally free --action by symplectomorphisms and…
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…