In this paper, we present a completely radical way to investigate the main problem of symbolic dynamics, the conjugacy problem, by proving that this problem actually relates to a natural question in category theory regarding the theory of traced bialgebras. As a consequence of this theory, we obtain a systematic way of obtaining new invariants for the conjugacy problem by looking at existing bialgebras in the literature
We study the relations of shift equivalence and strong shift equivalence for matrices over a ring $\...
The reversing symmetry group is considered in the setting of symbolic dynamics. While this group is ...
Recently it was shown that the notion of flow equivalence of shifts of finite type in symbolic dynam...
We give an introduction to the "stable algebra of matrices" as related to certain problems in symbol...
AbstractWe introduce a new computable invariant for strong shift equivalence of shifts of finite typ...
This thesis studies two independent topics in symbolic dynamics, the positive rational strong shift ...
An expository account of recent progress on twistwise flow equivalence. There is a new result in the...
AbstractFor two square matrices A, B of possibly different sizes with nonnegative integer entries, w...
We study the central objects of symbolic dynamics, that is, subshifts and block maps, from the pe...
This note extends and strengthens a theorem of Bates that says that row-finite graphs that are stron...
AbstractWe define new subclasses of the class of irreducible sofic shifts. These classes form an inf...
Let R be a ring. Two square matrices A,B are elementary strong shift equivalent (ESSE-R) over R if t...
It is given a structural conjugacy invariant in the set of pseudowords whose nite factors are fact...
We associate to each discrete partial dynamical system a universal C∗-algebra generated by partial i...
A G-shift of finite type (G-SFT) is a shift of finite type which commutes with the continuous action...
We study the relations of shift equivalence and strong shift equivalence for matrices over a ring $\...
The reversing symmetry group is considered in the setting of symbolic dynamics. While this group is ...
Recently it was shown that the notion of flow equivalence of shifts of finite type in symbolic dynam...
We give an introduction to the "stable algebra of matrices" as related to certain problems in symbol...
AbstractWe introduce a new computable invariant for strong shift equivalence of shifts of finite typ...
This thesis studies two independent topics in symbolic dynamics, the positive rational strong shift ...
An expository account of recent progress on twistwise flow equivalence. There is a new result in the...
AbstractFor two square matrices A, B of possibly different sizes with nonnegative integer entries, w...
We study the central objects of symbolic dynamics, that is, subshifts and block maps, from the pe...
This note extends and strengthens a theorem of Bates that says that row-finite graphs that are stron...
AbstractWe define new subclasses of the class of irreducible sofic shifts. These classes form an inf...
Let R be a ring. Two square matrices A,B are elementary strong shift equivalent (ESSE-R) over R if t...
It is given a structural conjugacy invariant in the set of pseudowords whose nite factors are fact...
We associate to each discrete partial dynamical system a universal C∗-algebra generated by partial i...
A G-shift of finite type (G-SFT) is a shift of finite type which commutes with the continuous action...
We study the relations of shift equivalence and strong shift equivalence for matrices over a ring $\...
The reversing symmetry group is considered in the setting of symbolic dynamics. While this group is ...
Recently it was shown that the notion of flow equivalence of shifts of finite type in symbolic dynam...