Publications
Publications
A short note that describes all uniformly recurrent infinite words satisfying the WellDOC property.
with Jennifer N. Jones-Baro. Accepted in Journal d'Analyse Mathématique.
a paper on the S-adic conjecture.
with Fabien Durand and Felipe Arbulú. In Discrete and Continuous Dynamical Systems.
in Ergodic Theory and Dynamical Systems. DOI and link.
with A. Maass, in Ergodic Theory and Dynamical Systems. DOI and link.
with T. Faúndez, R. Soto and F. Guzmán-Lastra, in Frontiers in Physics. I participated doing the numerical simulations.
I have constructed a finite topological rank systems that is strongly mixing with respect to its unique ergodic measure. This answers a question by Bezuglyi, Kwiatkowski, Medynets and Solomyak from 2010. I'm currently working on systematizing the technique.
Together with Julien Leroy, we are trying to answer some questions related to dynamical properties of (eventually) dendric subshifts, including whether this class is closed under taking symbolic factors, the amount of information contained in its dimension group, and if there is a more refined version of the ergodic measures bound given by Damron and Fickenscher.
My collaborators and I have been working on describing the maximal equicontinuous factors and Kronecker factors of subshifts based on their S-adic descriptions, extending the current results beyond the finite alphabet rank case and the usual S-adic properties typically assumed, such as properness.