In the realm of topological automorphisms of totally disconnected locally compact groups,
the scale function introduced by Willis in [19] is compared with the topological entropy. We …

We give a" limit-free formula" simplifying the computation of the topological entropy for
topological automorphisms of totally disconnected locally compact groups. This result allows …

Let G be a topological group, let φ be a continuous endomorphism of G and let H be a
closed φ-invariant subgroup of G. We study whether the topological entropy is an additive …

We study the topological entropy h (f) of continuous endomorphisms f of compact-like
groups. More specifically, we consider the e-spectrum E top (K) for a compact-like group K …

The notion of entropy appears in many fields and this paper is a survey about entropies in
several branches of Mathematics. We are mainly concerned with the topological and the …

By analogy with the topological entropy for continuous endomorphisms of totally
disconnected locally compact groups, we introduce a notion of topological entropy for …

In 1965 Adler, Konheim and McAndrew defined the topological entropy of a continuous self-
map of a compact space. In 1971 Bowen extended this notion to uniformly continuous self …

Definition 2.1. A topological abelian group is a Hausdorff topological space G which is also
an abelian group, provided that the map (g, h)↦→ g− h is a continuous map from G× G …

We show that the topological entropy of a continuous endomorphism of a compact abelian
group coincides with the algebraic entropy of the dual endomorphism of the (discrete) …

In this paper we will consider entropy of automorphisms on locally compact abelian groups.
Bowen's definition of entropy of a uniformly continuous mapping applies in particular to …