arXiv subjects

Hyon-Hui Ju

Publications and source records attributed to Hyon-Hui Ju.

3 recordsLinked to original sources

arXiv2026

Disjoint strong transitive operators on Hilbert C*-modules

This paper is about disjoint F-transitive operators on Hilbert C*-modules, where F is a finitely invariant Furstenberg family of subsets of N. We characterize disjoint F-transitivity for generalized bilateral weighted shift operators on the standard Hilbert module over C*-algebra of compact operators on the separable Hilbert space. Then we give a sufficient condition for these operators to be disjoint chaotic and give concrete examples. We also characterize disjoint F-transitivity for generalized translation operators on the non-unitary C*-algebra and provide some applications.

math.OA↗

arXiv2025

Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert C-modules

In this paper we study some dynamical properties such as Frequent Hypercyclicity Criterion, chaos, disjoint hypercyclicity and F-transitivity via Furstenberg family F for generalized bilateral weighted shift operator on the standard Hilbert C-module over C-algebra of compact operators on a separable Hilbert space.

math.FA↗

arXiv2013

Entropy for A-coupled-expanding Maps and Chaos

The concept of "$A$-coupled-expanding" map for a transition matrix $A$ has been studied as one of the most important criteria of chaos in the past years. In this paper, the lower bound of the topological entropy for strictly $A$-coupled-expanding maps is studied as a criterion for chaos in the sense of Li-Yorke, which is less conservative and more generalized than the latest result is presented. Furthermore, some conditions for $A$-coupled-expanding maps excluding the strictness to be factors of subshifts of finite type are derived. In addition, the topological entropy of partition-$A$-coupled-expanding map, which is put forward in this paper, is further estimated on compact metric spaces. Particularly, the topological entropy for partition-$A$-coupled-expanding circle maps is given, with that for the Kasner map being calculated for illustration and verification.

math.DS↗