We provide a unifying approach which links results on algebraic actions by Lind and
Schmidt, Chung and Li, and a topological result by Meyerovitch that relates entropy to the …

arXiv:2401.10012v1 [math.DS] 18 Jan 2024 Page 1 arXiv:2401.10012v1 [math.DS] 18 Jan
2024 Local entropy theory and applications Felipe Garcıa-Ramos and Hanfeng Li Abstract …

We study symbolic dynamical representations of actions of the first Grigorchuk group $ G $,
namely its action on the boundary of the infinite rooted binary tree, its representation in the …

We establish generalizations of the well-known surjunctivity theorem of Gromov and Weiss
as well as the dual-surjunctivity theorem of Capobianco, Kari and Taati for cellular automata …

Let $ G $ be a countable monoid and let $ A $ be an Artinian group (resp. an Artinian
module). Let $\Sigma\subset A^ G $ be a closed subshift which is also a subgroup (resp. a …

For linear non-uniform cellular automata (NUCA) which are global perturbations of CA over
an arbitrary universe, we introduce and investigate their dual linear NUCA, which are also …

We study equivariant Gromov-Hausdorff distances for general continuous actions which are
not necessarily isometric as Fukaya introduced. We prove that if an action is expansive and …

A countable group G has the strong topological Rokhlin property (STRP) if it admits a
continuous action on the Cantor space with a comeager conjugacy class. We show that …

A dynamical system is a pair (X, G), where X is a compact metrizable space and G is a
countable group acting by homeomorphisms of X. An endomorphism of (X, G) is a …

Let $\Gamma $ be a sofic group, $\Sigma $ be a sofic approximation sequence of $\Gamma
$ and $ X $ be a $\Gamma $-subshift with non-negative sofic topological entropy with …