4 citations · 6 across the 4 of their papers we have counts for
7 papers
Wild Cantor actions
Jesús Álvarez López, Ramón Barral Lijó, Olga Lukina +1
The discriminant group of a minimal equicontinuous action of a group on a Cantor set is the subgroup of the closure of the action in the group of homeomorphisms of , con…
Coarse distinguishability of graphs with symmetric growth
Jesús Antonio Álvarez López, Ramón Barral Lijó, Hiraku Nozawa
Let be a connected, locally finite graph with symmetric growth. We prove that there is a vertex coloring and some such that every automor…
Realization of manifolds as leaves using graph colorings
Jesús A. Álvarez López, Ramón Barral Lijó
It is proved that any (repetitive) Riemannian manifold of bounded geometry can be realized as a leaf of some (minimal) Riemannian matchbox manifold without holonomy. Our methods ca…
Chaotic Delone sets
Jesús Antonio Álvarez López, Ramón Barral Lijó, John Hunton +2
We present a definition of chaotic Delone set, and establish the genericity of chaos in the space of -Delone sets for . We also present a hyperbolic analogue of the…
Genericity of chaos for colored graphs
Ramón Barral Lijó, Hiraku Nozawa
To each colored graph, one can associate its closure in the universal space of isomorphism classes of pointed colored graphs, and this subspace can be regarded as a generalized sub…
Limit aperiodic and repetitive colorings of graphs
Jesús A. Álvarez López, Ramón Barral Lijó
Let be a (repetitive) infinite connected simple graph with a finite upper bound on the vertex degrees. The main theorem states that admits a (repetitive) limit aperiodi…
A universal Riemannian foliated space
Jesús A. Álvarez López, Ramón Barral Lijó, Alberto Candel
It is proved that the isometry classes of pointed connected complete Riemannian -manifolds form a Polish space, , with the topology described by the $C^…