Log in

Relevant bibliographies by topics / Infinite-type shift

Contents

Journal articles

Academic literature on the topic 'Infinite-type shift'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Infinite-type shift.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Infinite-type shift"

1

Kamarudin, Nor Syahmina, Malouh Baloush, and Syahida Che Dzul-Kifli. "The Chaotic Properties of Increasing Gap Shifts." International Journal of Mathematics and Mathematical Sciences 2019 (February 27, 2019): 1–5. http://dx.doi.org/10.1155/2019/2936560.

Full text

Abstract:

It is well known that locally everywhere onto, totally transitive, and topologically mixing are equivalent on shift of finite type. It turns out that this relation does not hold true on shift of infinite type. We introduce the increasing gap shift and determine its chaotic properties. The increasing gap shift and the sigma star shift serve as counterexamples to show the relation between the three chaos notions on shift of infinite type.

APA, Harvard, Vancouver, ISO, and other styles

2

SUN, GUO-HUA, and SHI-HAI DONG. "NEW TYPE SHIFT OPERATORS FOR THREE-DIMENSIONAL INFINITE WELL POTENTIAL." Modern Physics Letters A 26, no. 05 (2011): 351–58. http://dx.doi.org/10.1142/s0217732311034815.

Full text

Abstract:

New type shift operators for three-dimensional infinite well potential are identified to connect those quantum systems with different radials R but with the same energy spectrum. It should be pointed out that these shift operators depend on all variables contained in wave functions. Thus they establish a novel relation between wave functions ψlm(r) and ψ(l±1)(m±1)(r).

APA, Harvard, Vancouver, ISO, and other styles

3

Alsharari, Fahad, Mohd Salmi Md Noorani, and Habibulla Akhadkulov. "Counting Closed Orbits for the Dyck Shift." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/304798.

Full text

Abstract:

The prime orbit theorem and Mertens’ theorem are proved for a shift dynamical system of infinite type called the Dyck shift. Different and more direct methods are used in the proof without any complicated theoretical discussion.

APA, Harvard, Vancouver, ISO, and other styles

4

HOCHMAN, MICHAEL. "On the automorphism groups of multidimensional shifts of finite type." Ergodic Theory and Dynamical Systems 30, no. 3 (2009): 809–40. http://dx.doi.org/10.1017/s0143385709000248.

Full text

Abstract:

AbstractWe investigate algebraic properties of the automorphism group of multidimensional shifts of finite type (SFTs). We show that positive entropy implies that the automorphism group contains every finite group and, together with transitivity, implies that the center of the automorphism group is trivial (i.e. consists only of the shift action). We also show that positive entropy and dense minimal points (in particular, dense periodic points) imply that the automorphism group of X contains a copy of the automorphism group of the one-dimensional full shift, and hence contains non-trivial elements of infinite order. On the other hand we construct a mixing, positive-entropy SFT whose automorphism group is, modulo the shift action, a union of finite groups.

APA, Harvard, Vancouver, ISO, and other styles

5

BOYLE, MIKE, and SCOTT SCHMIEDING. "Finite group extensions of shifts of finite type: -theory, Parry and Livšic." Ergodic Theory and Dynamical Systems 37, no. 4 (2016): 1026–59. http://dx.doi.org/10.1017/etds.2015.87.

Full text

Abstract:

This paper extends and applies algebraic invariants and constructions for mixing finite group extensions of shifts of finite type. For a finite abelian group$G$, Parry showed how to define a$G$-extension$S_{A}$from a square matrix over$\mathbb{Z}_{+}G$, and classified the extensions up to topological conjugacy by the strong shift equivalence class of$A$over$\mathbb{Z}_{+}G$. Parry asked, in this case, if the dynamical zeta function$\det (I-tA)^{-1}$(which captures the ‘periodic data’ of the extension) would classify the extensions by$G$of a fixed mixing shift of finite type up to a finite number of topological conjugacy classes. When the algebraic$\text{K}$-theory group$\text{NK}_{1}(\mathbb{Z}G)$is non-trivial (e.g. for$G=\mathbb{Z}/n$with$n$not square-free) and the mixing shift of finite type is not just a fixed point, we show that the dynamical zeta function for any such extension is consistent with an infinite number of topological conjugacy classes. Independent of$\text{NK}_{1}(\mathbb{Z}G)$, for every non-trivial abelian$G$we show that there exists a shift of finite type with an infinite family of mixing non-conjugate$G$extensions with the same dynamical zeta function. We define computable complete invariants for the periodic data of the extension for$G$(not necessarily abelian), and extend all the above results to the non-abelian case. There is other work on basic invariants. The constructions require the ‘positive$K$-theory’ setting for positive equivalence of matrices over$\mathbb{Z}G[t]$.

APA, Harvard, Vancouver, ISO, and other styles

6

QUAS, ANTHONY N., and PAUL B. TROW. "Subshifts of multi-dimensional shifts of finite type." Ergodic Theory and Dynamical Systems 20, no. 3 (2000): 859–74. http://dx.doi.org/10.1017/s0143385700000468.

Full text

Abstract:

We show that every shift of finite type $X$ with positive entropy has proper subshifts of finite type with entropy strictly smaller than the entropy of $X$, but with entropy arbitrarily close to the entropy of $X$. Consequently, $X$ contains an infinite chain of subshifts of finite type which is strictly decreasing in entropy.

APA, Harvard, Vancouver, ISO, and other styles

7

ABE, JUN, and HIROTO HOSHI. "A generalized rightward movement analysis of Antecedent Contained Deletion." Journal of Linguistics 35, no. 3 (1999): 451–87. http://dx.doi.org/10.1017/s0022226799007926.

Full text

Abstract:

In this paper, we will argue that the LF Object Shift analysis of the infinite regress resolution of Antecedent Contained Deletion is untenable conceptually and empirically. Generalizing Baltin's (1987) CP Extraposition analysis, we will instead propose that any type of rightward movement, including NP and PP Rightward Shift, is available for the infinite regress resolution. Furthermore, we will show that our generalized rightward movement analysis explains a wider range of data than the LF Object Shift analysis. Finally, we will address a question as to why rightward movement, which is non-feature checking movement, is triggered/involved in Antecedent Contained Deletion. We will suggest a way to derive this property under the assumptions of Chomsky's (1993, 1995) Minimalist Program.

APA, Harvard, Vancouver, ISO, and other styles

8

Sharma, Puneet, and Dileep Kumar. "Matrix characterization of multidimensional subshifts of finite type." Applied General Topology 20, no. 2 (2019): 407. http://dx.doi.org/10.4995/agt.2019.11541.

Full text

Abstract:

<p>Let X ⊂ A<sup>Zd </sup>be a 2-dimensional subshift of finite type. We prove that any 2-dimensional subshift of finite type can be characterized by a square matrix of infinite dimension. We extend our result to a general d-dimensional case. We prove that the multidimensional shift space is non-empty if and only if the matrix obtained is of positive dimension. In the process, we give an alternative view of the necessary and sufficient conditions obtained for the non-emptiness of the multidimensional shift space. We also give sufficient conditions for the shift space X to exhibit periodic points.</p>

APA, Harvard, Vancouver, ISO, and other styles

9

Farid, F. O., and K. Varadarajan. "Isometric Shift Operators on C(X)." Canadian Journal of Mathematics 46, no. 3 (1994): 532–42. http://dx.doi.org/10.4153/cjm-1994-028-1.

Full text

Abstract:

AbstractRecently A. Gutek, D. Hart, J. Jamison and M. Rajagopalan have obtained many significiant results concerning shift operators on Banach spaces. Using a result of Holsztynski they classify isometric shift operators on C(X) for any compact Hausdorff space X into two (not necessarily disjoint) classes. If there exists an isometric shift operator T: C(X) → C(X) of type II, they show that X is necessarily separable. In case T is of type I, they exhibit a paticular infinite countable set of isolated points in X. Under the additional assumption that the linear functional Γ carrying f ∊ C(X) to Tf(p) ∊ is identically zero, they show that D is dense in X. They raise the question whether D will still be dense in X even when Γ ≠ 0. In this paper we give a negative answer to this question. In fact, given any integer l ≥ 1, we construct an example of an isometric shift operator T: C(X) —> C(X) of type I with X \ having exactly / elements, where is the closure of D in X.

APA, Harvard, Vancouver, ISO, and other styles

10

SALO, VILLE. "Transitive action on finite points of a full shift and a finitary Ryan’s theorem." Ergodic Theory and Dynamical Systems 39, no. 06 (2017): 1637–67. http://dx.doi.org/10.1017/etds.2017.84.

Full text

Abstract:

We show that on the four-symbol full shift, there is a finitely generated subgroup of the automorphism group whose action is (set-theoretically) transitive of all orders on the points of finite support, up to the necessary caveats due to shift-commutation. As a corollary, we obtain that there is a finite set of automorphisms whose centralizer is $\mathbb{Z}$ (the shift group), giving a finitary version of Ryan’s theorem (on the four-symbol full shift), suggesting an automorphism group invariant for mixing subshifts of finite type (SFTs). We show that any such set of automorphisms must generate an infinite group, and also show that there is also a group with this transitivity property that is a subgroup of the commutator subgroup and whose elements can be written as compositions of involutions. We ask many related questions and prove some easy transitivity results for the group of reversible Turing machines, topological full groups and Thompson’s $V$ .

APA, Harvard, Vancouver, ISO, and other styles

More sources

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!