44 citations · 357 across the 57 of their papers we have counts for
5 papers · 1 filter
The Bridge Theorem for totally disconnected LCA groups
Dikran Dikranjan, Anna Giordano Bruno
For a totally disconnected locally compact abelian group, we prove that the topological entropy of a continuous endomorphism coincides with the algebraic entropy of the dual endomo…
Questions on the Borel Complexity of Characterized Subgroups
Dikran Dikranjan, Daniele Impieri
We propose various problems about Borel complexity of characterized subgroups of compact abelian groups, inspired by our forthcoming paper \cite{DI3}.
Discrete dynamical systems in group theory
Dikran Dikranjan, Anna Giordano Bruno
In this expository paper we describe an unifying approach for many known entropies in Mathematics. First we recall the notion of semigroup entropy h_S in the category S of normed s…
Topological Entropy and Algebraic Entropy for group endomorphisms
Dikran Dikranjan, Anna Giordano Bruno
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 alg…
Countable powers of compact Abelian groups in the uniform topology and cardinality of their dual groups
D. Dikranjan, E. Martín-Peinador, V. Tarieladze
We equip the product of countably many copies of a compact Abelian group X with the uniform topology, and study some properties of the topological group G thus obtained. In particu…