Francisco R. Ruiz del Portal

most citedParrondo's paradox for homeomorphisms

3 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2021★ 1 cited

Computational approximations of compact metric spaces

Pedro J. Chocano, Manuel A. Morón, Francisco R. Ruiz del Portal

Given a compact metric space $X$ , we associate to it an inverse sequence of finite $T_{0}$ topological spaces. The inverse limit of this inverse sequence contains a homeomorphic copy…

math.DS2021

On the triviality of flows in Alexandroff spaces

Pedro J. Chocano, Diego Mondéjar Ruiz, Manuel A. Morón +1

We prove that the unique possible flow in an Alexandroff $T_{0}$ -space is the trivial one. To motivate this result, we relate Alexandroff spaces to topological hyperspaces.

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…