29 citations · 30 across the 6 of their papers we have counts for
6 papers
A multiplicative ergodic theoretic characterization of relative equilibrium states
John Antonioli, Soonjo Hong, Anthony Quas
In this article, we continue the structural study of factor maps betweeen symbolic dynamical systems and the relative thermodynamic formalism. Here, one is studying a factor map fr…
Loss of Gibbs property in one-dimensional mixing shifts of finite type
Soonjo Hong
Let be a factor map from a one-dimensional mixing shift of finite type onto a sofic shift . We investigate when sends Gibbs measures on to non-Gibbs measures on…
Class-closing factor codes and constant-class-to-one factor codes from shifts of finite type
Mahsa Allahbakhshi, Soonjo Hong, Uijin Jung
We define class-closing factor codes from shifts of finite type and show that they are continuing if their images are of finite type. We establish several relations between class-c…
The multiplicative inequality for class degrees via relative transition classes
Soonjo Hong
Generalizing the notion of the degree of a finite-to-one factor code from a shift of finite type, the class degree of a possibly infinite-to-one factor extends many important prope…
Structure of transition classes for factor codes on shifts of finite type
Mahsa Allahbakhshi, Soonjo Hong, Uijin Jung
Given a factor code from a shift of finite type onto a sofic shift , the class degree of is defined to be the minimal number of transition classes over points of …
Decompositions of factor codes and embeddings between shift spaces with unequal entropies
Soonjo Hong, Uijin Jung, In-Je Lee
Given a factor code between sofic shifts X and Y, there is a family of decompositions of the original code into factor codes such that the entropies of the intermediate subshifts a…