12 citations · 25 across the 6 of their papers we have counts for
6 papers
Element-wise description of the -characterized subgroups of the circle
Raffaele Di Santo, Dikran Dikranjan, Anna Giordano Bruno +1
According to Cartan, given an ideal of , a sequence in the circle group is said to {\em -converge} to a poin…
The algebraic entropy of one-dimensional finitary linear cellular automata
Hasan Akın, Dikran Dikranjan, Anna Giordano Bruno +1
The aim of this paper is to present one-dimensional finitary linear cellular automata on from an algebraic point of view. Among various other results, we: (i) sho…
Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups
Anna Giordano Bruno, Flavio Salizzoni
The additivity with respect to exact sequences is notoriously a fundamental property of the algebraic entropy of group endomorphisms. It was proved for abelian groups by deeply exp…
Algebraic entropy for amenable semigroup actions
Dikran Dikranjan, Antongiulio Fornasiero, Anna Giordano Bruno
We introduce two notions of algebraic entropy for actions of cancellative right amenable semigroups on discrete abelian groups by endomorphisms; these extend the classical…
Finiteness of topological entropy for locally compact abelian groups
Dikran Dikranjan, Anna Giordano Bruno, Francesco G. Russo
We study the locally compact abelian groups in the class , that is, having only continuous endomorphisms of finite topological entropy, and in its subclass $…
Topological entropy for locally linearly compact vector spaces
Ilaria Castellano, Anna Giordano Bruno
In analogy to the topological entropy for continuous endomorphisms of totally disconnected locally compact groups, we introduce a notion of topological entropy for continuous endom…