Cellular automata models of road traffic

S Maerivoet, B De Moor - Physics reports, 2005 - Elsevier
In this paper, we give an elaborate and understandable review of traffic cellular automata
(TCA) models, which are a class of computationally efficient microscopic traffic flow models …

[HTML][HTML] Progress, gaps and obstacles in the classification of cellular automata

M Vispoel, AJ Daly, JM Baetens - Physica D: Nonlinear Phenomena, 2022 - Elsevier
Classification is one of the most important problems in the theory of CA. For instance,
assessing how CA design choices impact the generated dynamics requires an overview of …

[图书][B] An introduction to Kolmogorov complexity and its applications

M Li, P Vitányi - 2008 - Springer
Ming Li Paul Vitányi Fourth Edition Page 1 An Introduction to Kolmogorov Complexity and Its
Applications Ming Li Paul Vitányi Fourth Edition Texts in Computer Science Page 2 Texts in …

[引用][C] Information and randomness: an algorithmic perspective

CS Calude - 2013 - books.google.com
The first edition of the monograph Information and Randomness: An Algorithmic Perspective
by Crist ian Calude was published in 1994. In my Foreword I said:" The research in …

Compression-based investigation of the dynamical properties of cellular automata and other systems

H Zenil - arXiv preprint arXiv:0910.4042, 2009 - arxiv.org
A method for studying the qualitative dynamical properties of abstract computing machines
based on the approximation of their program-size complexity using a general lossless …

Coarse-graining of cellular automata, emergence, and the predictability of complex systems

N Israeli, N Goldenfeld - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
We study the predictability of emergent phenomena in complex systems. Using nearest-
neighbor, one-dimensional cellular automata (CA) as an example, we show how to construct …

[HTML][HTML] Classifying 1D elementary cellular automata with the 0–1 test for chaos

M Terry-Jack, S O'Keefe - Physica D: Nonlinear Phenomena, 2023 - Elsevier
We utilise the 0–1 test to automatically classify elementary cellular automata. The
quantitative results of the 0–1 test reveal a number of advantages over Wolfram's qualitative …

Lyapunov exponents of multi-state cellular automata

M Vispoel, AJ Daly, JM Baetens - Chaos: An Interdisciplinary Journal …, 2023 - pubs.aip.org
In order to describe the sensitivity of a cellular automaton (CA) to a small change in its initial
configuration, one can attempt to extend the notion of Lyapunov exponents as defined for …

Lempel-Ziv complexity analysis of one dimensional cellular automata

E Estevez-Rams, R Lora-Serrano… - … Journal of Nonlinear …, 2015 - pubs.aip.org
Lempel-Ziv complexity measure has been used to estimate the entropy density of a string. It
is defined as the number of factors in a production factorization of a string. In this …

Computational capabilities at the edge of chaos for one dimensional systems undergoing continuous transitions

E Estevez-Rams, D Estevez-Moya… - … Journal of Nonlinear …, 2019 - pubs.aip.org
While there has been a keen interest in studying computation at the edge of chaos for
dynamical systems undergoing a phase transition, this has come under question for cellular …