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…
Derived heat trace asymptotics for the de Rham and Dolbeault complexes
Jesús A. Álvarez López, Peter B. Gilkey
We examine the derived heat trace asymptotics in both the real and the complex settings for a generalized Witten perturbation. If the dimension is even, in the real context we show…
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…
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…
Transversal hard Lefschetz theorem on transversely symplectic foliations
Jesús A. Álvarez López, Seoung Dal Jung
We study the transversal hard Lefschetz theorem on a transversely symplectic foliation. This article extends the results of transversally symplectic flows (H.K.~Pak, "Transversal h…
Simple foliated flows
Jesús A. Álvarez López, Yuri A. Kordyukov, Eric Leichtnam
We describe transversely oriented foliations of codimension one on closed manifolds that admit simple foliated flows.