From the 1 of 209 papers with an AI index.
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- Institute for High Energy PhysicsES113 papers
- University of OxfordGB109 papers
- University of BolognaIT107 papers
- Joint Institute for Nuclear ResearchRU106 papers
- National and Kapodistrian University of AthensGR106 papers
- University of LiverpoolGB106 papers
- University of GlasgowGB104 papers
- Universitat Autònoma de BarcelonaES101 papers
- University of PisaIT97 papers
- Centre National de la Recherche ScientifiqueFR93 papers
- University of GenevaCH90 papers
- University of PaduaIT89 papers
8 papers · 1 filter
Characterizing sequences for precompact group topologies
D. Dikranjan, S. S. Gabriyelyan, V. Tarieladze
A precompact group topology on an abelian group is called {\em single sequence characterized} (for short, {\em ss-characterized}) if there is a sequence …
Arnautov's problems on semitopological isomorphisms
Dikran Dikranjan, Anna Giordano Bruno
Semitopological isomorphisms of topological groups were introduced by Arnautov, who posed several questions related to compositions of semitopological isomorphisms and the groups G…
A Kronecker-Weyl theorem for subsets of abelian groups
Dikran Dikranjan, Dmitri Shakhmatov
Let N be the set of non-negative integer numbers, T the circle group and c the cardinality of the continuum. Given an abelian group G of size at most 2^c and a countable family F o…
Adjoint algebraic entropy
Dikran Dikranjan, Anna Giordano Bruno, Luigi Salce
The new notion of adjoint algebraic entropy of endomorphisms of Abelian groups is introduced. Various examples and basic properties are provided. It is proved that the adjoint alge…
Strings of group endomorphisms
Dikran Dikranjan, Anna Giordano Bruno, Simone Virili
Recently the strings and the string number of self-maps were used in the computation of the algebraic entropy of special group endomorphisms. We introduce two special kinds of stri…
Entropy in a category
Dikran Dikranjan, Anna Giordano Bruno
The Pinsker subgroup of an abelian group with respect to an endomorphism was introduced in the context of algebraic entropy. Motivated by the nice properties and characterizations…