Motivated by the recent introduction of the intrinsic semilattice entropy, we study generalized
quasi-metric semilattices and their categories. We investigate the relationship between …

We introduce the notion of intrinsic semilattice entropy h ̃ in the category ℒ qm of
generalized quasimetric semilattices and contractive homomorphisms. By using appropriate …

Motivated by recent applications to entropy theory in dynamical systems, we generalise
notions introduced by Matthews and define weakly weighted and componentwise weakly …

We present a unifying approach to the study of entropies in Mathematics, such as measure
entropy, topological entropy, algebraic entropy, set-theoretic entropy. We take into account …

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 of …

In this paper, we introduce a new entropy-like invariant, named Hausdorff metric entropy, for
finitely generated semigroups acting on compact metric spaces from a set-valued view and …

Partial metrics, or the equivalent weightable quasi-metrics, have been introduced in
Matthews (Proc. 8th Summer Conf. on General Topology and Applications; Ann. New York …

Recently the adjoint algebraic entropy of endomorphisms of abelian groups was introduced
and studied in Dikranjan (2010)[6]. We generalize the notion of adjoint entropy to continuous …

Let G be a set and let s be a net of finite subsets of G. If pS, vq is a pre-normed semigroup,
that is, a semigroup S together with a non-negative real-valued function v, we introduce a …

To an exact endofunctor of a triangulated category with a split generator, the notion of
entropy is given by Dimitrov–Haiden–Katzarkov–Kontsevich, which is a (possibly negative …