3 papers
math.DS2020
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…
math.SG2018
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…
math.SG2016
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…