Entropy and ergodicity of Boole-type transformations
We review some analytic, measure-theoretic and topological techniques for studying
ergodicity and entropy of discrete dynamical systems, with a focus on Boole-type …
ergodicity and entropy of discrete dynamical systems, with a focus on Boole-type …
[HTML][HTML] Topological entropy for locally linearly compact vector spaces
I Castellano, AG Bruno - Topology and its Applications, 2019 - Elsevier
By analogy with the topological entropy for continuous endomorphisms of totally
disconnected locally compact groups, we introduce a notion of topological entropy for …
disconnected locally compact groups, we introduce a notion of topological entropy for …
Intrinsic entropy for generalized quasimetric semilattices
I Castellano, D Dikranjan, D Freni… - Journal of Algebra and …, 2022 - World Scientific
We introduce the notion of intrinsic semilattice entropy h ̃ in the category ℒ qm of
generalized quasimetric semilattices and contractive homomorphisms. By using appropriate …
generalized quasimetric semilattices and contractive homomorphisms. By using appropriate …
[HTML][HTML] The corank of a flow over the category of linearly compact vector spaces
I Castellano - Journal of Pure and Applied Algebra, 2020 - Elsevier
For a topological flow (V, ϕ)-ie, V is a linearly compact vector space and ϕ a continuous
endomorphism of V-we gain a deep understanding of the relationship between (V, ϕ) and …
endomorphism of V-we gain a deep understanding of the relationship between (V, ϕ) and …