7 citations · 12 across the 7 of their papers we have counts for
8 papers
Disjoint strong transitive operators on Hilbert C*-modules
Song-Ung Ri, Hyon-Hui Ju
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-transitivi…
Frequent, disjoint hypercyclicity and strong topological transitivity of generalized weighted shift operators on Hilbert C-modules
Song-Ung Ri, Hyon-Hui Ju, Jin-Myong Kim
In this paper we study some dynamical properties such as Frequent Hypercyclicity Criterion, chaos, disjoint hypercyclicity and F-transitivity via Furstenberg family F for generaliz…
A note on disjoint hypercyclicity for invertible bilateral pseudo-shifts on
SongUng Ri, HyonHui Ju, JinMyong Kim
We first give a note on disjoint hypercyclicity for invertible bilateral pseudo-shifts on , . It is already known that if a tuple of bilatera…
F-equicontinuity and an Analogue of Auslander-Yorke Dichotomy Theorem
Hyonhui Ju, Jinhyon Kim, Songhun Ri +1
In this paper, we introduce an -equi\-con\-ti\-nui\-ty and show an analogue of Auslander-Yorke dichotomy theorem for -sensitivity. Precisely, under the…
Dimension theoretical study on skew product maps with coupled-expanding property
Jinhyon Kim, Hyonhui Ju
We discuss on some families of skew product maps on a square. For a kind of skew product maps with coupled-expanding property, we estimate Hausdorff dimension of its attractor. And…
A-coupled-expanding and distributional chaos
Cholsan Kim, Hyonhui Ju, Peter Raith
The concept of A-coupled-expanding map, which is one of the more natural and useful ideas generalized the horseshoe map, is well known as a criterion of chaos. It is well known tha…
Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including A-coupled expanding systems
Hyonhui Ju, Jinhyon Kim, Peter Raith
In this paper we consider Hausdorff dimension of the sets of Li-Yorke pairs for some chaotic dynamical systems including -coupled expanding systems. We prove that Li-Yorke pairs…
Entropy for A-coupled-expanding Maps and Chaos
Chol-Gyun Ri, Hyon-Hui Ju, Xiaoqun Wu
The concept of "-coupled-expanding" map for a transition matrix has been studied as one of the most important criteria of chaos in the past years. In this paper, the lower b…