Results 11 to 20 of about 5,367 (137)

Tree-shifts: the entropy of tree-shifts of finite type [PDF]

Nonlinearity, 2015
This paper studies the entropy of tree-shifts of finite type with and without boundary conditions. We demonstrate that computing the entropy of a tree-shift of finite type is equivalent to solving a system of nonlinear recurrence equations.
Jung-Chao Ban, Chih-Hung Chang
semanticscholar   +6 more sources

The expressiveness of quasiperiodic and minimal shifts of finite type [PDF]

Ergodic Theory and Dynamical Systems, 2018
We study multidimensional minimal and quasiperiodic shifts of finite type. We prove for these classes several results that were previously known for the shifts of finite type in general, without restriction.
B. Durand, Andrei E. Romashchenko
semanticscholar   +6 more sources

The automorphism group of a shift of finite type [PDF]

Transactions of the American Mathematical Society, 1988
Let ( X T
Mike Boyle, D. Lind, D. Rudolph
semanticscholar   +2 more sources

Intermediate beta-shifts of finite type

Discrete and Continuous Dynamical Systems, 2015
An aim of this article is to highlight dynamical differences between the greedy, and hence the lazy, $\beta$-shift (transformation) and an intermediate $\beta$-shift (transformation), for a fixed $\beta \in (1, 2)$.
Bing Li, Tuomas Sahlsten, Tony Samuel
semanticscholar   +5 more sources

Shifts of finite type and random substitutions [PDF]

Discrete and Continuous Dynamical Systems, 2017
We prove that every topologically transitive shift of finite type in one dimension is topologically conjugate to a subshift arising from a primitive random substitution on a finite alphabet.
P. Gohlke, D. Rust, Timo Spindeler
semanticscholar   +5 more sources

Correction: Some notes on classification of shift spaces: Shifts of Finite Type; Sofic Shifts; and Finitely Defined Shifts [PDF]

Bulletin of the Brazilian Mathematical Society, New Series
This paper is a corrigendum to the article'Some notes on the classification of shift spaces: Shifts of Finite Type; Sofic Shifts; and Finitely Defined Shifts'. In this article we correct Lemma 5.3. Therefore, we follow correcting statements and proofs of
Marcelo Sobottka
semanticscholar   +2 more sources

On Spatial Entropy and Periodic Entropies of Two-dimensional Shifts of Finite Type [PDF]

Taiwanese journal of mathematics, 2022
Topological entropy or spatial entropy is a way to measure the complexity of shift spaces. This study investigates the relationships between the spatial entropy and the various periodic entropies which are computed by skew-coordinated systems $\gamma\in ...
Wen-Guei Hu, Guan-Yu Lai, Song-Sun Lin
semanticscholar   +1 more source

On graph induced symbolic systems

Applied General Topology, 2023
In this paper, we investigate shift spaces arising from a multidimensional graph G. In particular, we investigate nonemptiness and existence of periodic points for a multidimensional shift space.
Prashant Kumar, Puneet Sharma
doaj   +1 more source

On the stability of the difference analogue of the boundary value problem for a mixed type equation [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2022
This paper considers a difference problem for a mixed-type equation, to which a problem of integral geometry for a family of curves satisfying certain regularity conditions is reduced.
G.B. Bakanov, S.K. Meldebekova
doaj   +2 more sources

Zeta Function for Commuting Matrix Shift of Finite Type

Thamar University Journal of Natural & Applied Sciences, 2023
In this paper we show two-dimensional shifts of finite type whose transition matrices commutes and such that the entries of their product also consist of 0’s and 1’s.
A. Al-Refaei
semanticscholar   +1 more source