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Research Article Open access CC BY 3.0

(S, S´)-gap Shifts as a Generalization of Run-length-limited Codes

D. Ahmadi Dastjerdi, S. Jangjooye Shaldehi

Journal of Advances in Mathematics and Computer Science · pp. 2765–2780 · Published 20 Jul 2014

10.9734/BJMCS/2014/11488

Abstract

A generalization of Run-length-limited (RLL) codes has been introduced and its dynamical properties as a symbolic dynamical system under the shift map will be investigated. A formula for entropy and zeta function will be given and when our system is shift of finite type, its Bowen-Franks groups are obtained.

Shift of finite type sofic synchronized coded system entropy zeta function.

Cited by 4

Ergodic theory on coded shift spaces

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Dynamics and entropy of $ \mathcal{S} $-graph shifts

Travis Dillon, Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA · Discrete and Continuous Dynamical Systems · 2022

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