1 citations · 2 across the 5 of their papers we have counts for
6 papers
Non-determinism in group actions and topological minimal self-joinings
Nicolás Bitar, Sebastián Donoso, Samuel Petite
We study the topological and geometrical aspects of non-determinism in group actions, generalizing the notion of non-expansive direction for abelian actions. Under suitable conditi…
Self-Avoiding Walks on Cayley Graphs Through the Lens of Symbolic Dynamics
Nathalie Aubrun, Nicolás Bitar
We study dynamical and computational properties of the set of bi-infinite self-avoiding walks on Cayley graphs, as well as ways to compute, approximate and bound their connective c…
Contributions to the Domino Problem: Seeding, Recurrence and Satisfiability
Nicolás Bitar
We study the seeded domino problem, the recurring domino problem and the -SAT problem on finitely generated groups. These problems are generalization of their original versions…
Domino Snake Problems on Groups
Nathalie Aubrun, Nicolas Bitar
In this article we study domino snake problems on finitely generated groups. We provide general properties of these problems and introduce new tools for their study. The first is t…
Strongly Aperiodic SFTs on Generalized Baumslag-Solitar groups
Nathalie Aubrun, Nicolás Bitar, Sacha Huriot-Tattegrain
We look at constructions of aperiodic SFTs on fundamental groups of graph of groups. In particular we prove that all generalized Baumslag-Solitar groups (GBS) admit a strongly aper…
Computational Complexity of Biased Diffusion Limited Aggregation
Nicolas Bitar, Eric Goles, Pedro Montealegre
Diffusion-Limited Aggregation (DLA) is a cluster-growth model that consists in a set of particles that are sequentially aggregated over a two-dimensional grid. In this paper, we in…