Add to ORKGVarious limit-free formulas are given for the computation of the algebraic and the topological entropy, respectively in the settings of endomorphisms of locally finite discrete groups and of continuous endomorphisms of totally disconnected compact groups. As applications we give new proofs of the connection between the algebraic and the topological entropy in the abelian case and of the connection of the topological entropy with the finite depth for topological automorphisms
Let G be a topological group, let \u3d5 be a continuous endomorphism of G and let H be a closed \u3d...
Shereshevsky has shown that a shift-commuting homeomorphism from the two-dimensional full shift to i...
1The topological entropy of a semigroup action on a totally disconnected locally compact abelian gro...
For a totally disconnected locally compact abelian group, we prove that the topological entropy of a...
We study the locally compact abelian groups in the class E_infty, that is, having only continuous e...
By analogy with the topological entropy for continuous endomorphisms of totally disconnected locally...
We show that the topological entropy of a continuous endomorphism of a compact abelian group coincid...
We study the topological entropy h(f) of continuous endomorphisms f of compact- like groups. More sp...
Topological entropy is very well-understood for endomorphisms of compact Abelian groups. A fundament...
Recently the adjoint algebraic entropy of endomorphisms of abelian groups was introduced and studied...
The new notion of intrinsic algebraic entropy (ent) over tilde of endomorphisms of Abelian groups is...
We introduce a new class of locally compact groups, namely the strongly compactly covered groups, wh...
We introduce algebraic entropy for continuous endomorphisms of locally linearly compact vector space...
Entropy was introduced first in thermodynamics and statistical mechanics, as well as information the...
We give a \u201climit-free formula\u201d simplifying the compu- tation of the topological entropy fo...
Let G be a topological group, let \u3d5 be a continuous endomorphism of G and let H be a closed \u3d...
Shereshevsky has shown that a shift-commuting homeomorphism from the two-dimensional full shift to i...
1The topological entropy of a semigroup action on a totally disconnected locally compact abelian gro...
For a totally disconnected locally compact abelian group, we prove that the topological entropy of a...
We study the locally compact abelian groups in the class E_infty, that is, having only continuous e...
By analogy with the topological entropy for continuous endomorphisms of totally disconnected locally...
We show that the topological entropy of a continuous endomorphism of a compact abelian group coincid...
We study the topological entropy h(f) of continuous endomorphisms f of compact- like groups. More sp...
Topological entropy is very well-understood for endomorphisms of compact Abelian groups. A fundament...
Recently the adjoint algebraic entropy of endomorphisms of abelian groups was introduced and studied...
The new notion of intrinsic algebraic entropy (ent) over tilde of endomorphisms of Abelian groups is...
We introduce a new class of locally compact groups, namely the strongly compactly covered groups, wh...
We introduce algebraic entropy for continuous endomorphisms of locally linearly compact vector space...
Entropy was introduced first in thermodynamics and statistical mechanics, as well as information the...
We give a \u201climit-free formula\u201d simplifying the compu- tation of the topological entropy fo...
Let G be a topological group, let \u3d5 be a continuous endomorphism of G and let H be a closed \u3d...
Shereshevsky has shown that a shift-commuting homeomorphism from the two-dimensional full shift to i...
1The topological entropy of a semigroup action on a totally disconnected locally compact abelian gro...