Now we give a third definition of topological entropy of an action T which is based on the
approximation of a compact set F~ K (R q) by its finite subsets. This approach is quite useful …

Our aim in this paper is to introduce a general notion of topological entropy of a uniform
action of a locally compact semigroup on a metric space and to derive its basic properties …

This paper deals with the problem of finding the range of entropy values resulting from
actions of discrete amenable groups by automorphisms of compact abelian groups. When …

Let T be a group automorphism of a compact group G onto G. It was conjectured in [1] that
the measure-theoretic entropy of T with respect to the Haar measure on G is equal to the …

On topological entropy of semigroups of commuting transformations Page 1 Astérisque ERNST
EBERLEIN On topological entropy of semigroups of commuting transformations Astérisque …

Introduction. In their basic paper [1] on topological entropy, a conjugacyinvariant of
continuous mappings, Adler, Konheim, and McAndrew conjectured that, for any …

In recent years there has been a great deal of progress in the study of actions of countable
groups. In particular, the concept of the entropy of an action has been extended to all sofic …

The purpose of this paper is to study the topological entropy of semigroups of continuous
commuting maps (cc nu) acting on a compact Hausdorff space. The semigroups dd …

Topological entropy ${h_d}(T) $ is defined for a uniformly continuous map on a metric space.
General statements are proved about this entropy, and it is calculated for affine maps of Lie …

If G is a compact gq'oup wilil a countable topologir basis, and T is an endomorphium of
group G (into G), then G can be cons,~ dered as a Lebcsgue space and T as a metric …