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The model of cellular automata is fascinating because very simple local rules can generate complex global behaviors. The relationship between local and global function is subject of many studies. We tackle this question by using results on…

Computational Complexity · Computer Science 2009-09-29 Christoph Durr , Ivan Rapaport , Guillaume Theyssier

In this paper I present a first attempt for a possible description of fluids dynamics by mean of a cellular automata technique. With the use of simple and elementary rules, based on random behaviour either, the model permits to obtain the…

Computational Complexity · Computer Science 2007-05-23 Gianluca Argentini

We study a two-dimensional cellular automaton (CA), called Diffusion Rule (DR), which exhibits diffusion-like dynamics of propagating patterns. In computational experiments we discover a wide range of mobile and stationary localizations…

Formal Languages and Automata Theory · Computer Science 2015-05-13 Genaro J. Martinez , Andrew Adamatzky , Harold V. McIntosh

This paper deals with the theory and application of 2-Dimensional, nine-neighborhood, null- boundary, uniform as well as hybrid Cellular Automata (2D CA) linear rules in image processing. These rules are classified into nine groups…

Discrete Mathematics · Computer Science 2008-04-16 Pabitra Pal Choudhury , Birendra Kumar Nayak , Sudhakar Sahoo , Sunil Pankaj Rath

Quantum cellular automata consist in arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G. Moreover the global evolution G is required to be causal (it propagates…

Quantum Physics · Physics 2019-09-09 Pablo Arrighi

The donation game is a well-established framework for studying the emergence and evolution of cooperation in multi-agent systems. The cooperative behavior can be influenced by the environmental noise in partially observable settings and by…

Multiagent Systems · Computer Science 2025-07-17 Marcin Kowalik , Przemysław Stokłosa , Mateusz Grabowski , Janusz Starzyk , Paweł Raif

We propose an iterative algorithm to investigate the cooperative evolution dominated by information encoded within state spaces in a random quantum cellular automaton. Inspired by the 2-gram model in statistical linguistics, the updates of…

Quantum Physics · Physics 2025-04-22 Guanhua Chen , Yao Yao

The essential ingredient for studying the phenomena of emergence is the ability to generate and manipulate emergent systems that span large scales. Cellular automata are the model class particularly known for their effective scalability but…

Neural and Evolutionary Computing · Computer Science 2023-06-13 Sina Khajehabdollahi , Emmanouil Giannakakis , Victor Buendia , Georg Martius , Anna Levina

With recent and rapid advancements in artificial intelligence (AI), understanding the foundation of purposeful behaviour in autonomous agents is crucial for developing safe and efficient systems. While artificial neural networks have…

Artificial Intelligence · Computer Science 2025-08-12 Aswin Paul , Moein Khajehnejad , Forough Habibollahi , Brett J. Kagan , Adeel Razi

The cellular automata with local permutation invariance are considered. We show that in the two-state case the set of such automata coincides with the generalized Game of Life family. We count the number of equivalence classes of the rules…

Mathematical Physics · Physics 2007-05-23 Vladimir V. Kornyak

Layered Cellular Automata (LCA) extends the concept of traditional cellular automata (CA) to model complex systems and phenomena. In LCA, each cell's next state is determined by the interaction of two layers of computation, allowing for…

Cellular Automata and Lattice Gases · Physics 2023-08-15 Abhishek Dalai

We consider hexagonal cellular automata with immediate cell neighbourhood and three cell-states. Every cell calculates its next state depending on the integral representation of states in its neighbourhood, i.e. how many neighbours are in…

Artificial Intelligence · Computer Science 2010-11-23 Andrew Adamatzky , Larry Bull , Pierre Collet , Emmanuel Sapin

Cellular automata are capable of developing complex behaviors based on simple local interactions between their elements. Some of these characteristics have been used to propose and improve meta-heuristics for global optimization; however,…

We present a theory of automata with boundary for designing, modelling and analysing distributed systems. Notions of behaviour, design and simulation appropriate to the theory are defined. The problem of model checking for deadlock…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 R. Gates , P. Katis , N. Sabadini , R. F. C. Walters

This paper introduces two ongoing research projects which seek to apply computer modelling techniques in order to simulate human behaviour within organisations. Previous research in other disciplines has suggested that complex social…

Neural and Evolutionary Computing · Computer Science 2010-07-05 Helen Celia , Christopher Clegg , Mark Robinson , Peer-Olaf Siebers , Uwe Aickelin , Christine Sprigg

Scenarios are pen-pictures of plausible futures, used for strategic planning. The aim of this investigation is to expand the horizon of scenario-based planning through computational models that are able to aid the analyst in the planning…

Neural and Evolutionary Computing · Computer Science 2009-07-06 Hussein Abbass , Axel Bender , Helen Dam , Stephen Baker , James M Whitacre , Ruhul Sarker

Simulation models are an absolute necessity in the human and social sciences, which can only very exceptionally use experimental science methods to construct their knowledge. Models enable the simulation of social processes by replacing the…

Computers and Society · Computer Science 2020-01-06 J. Raimbault , D. Pumain

We define and study a few properties of a class of random automata networks. While regular finite one-dimensional cellular automata are defined on periodic lattices, these automata networks, called randomized cellular automata, are defined…

Cellular Automata and Lattice Gases · Physics 2009-11-13 Nino Boccara

Cellular automata (CA) captivate researchers due to teh emergent, complex individualized behavior that simple global rules of interaction enact. Recent advances in the field have combined CA with convolutional neural networks to achieve…

Neural and Evolutionary Computing · Computer Science 2023-01-04 Marlene Grieskamp , Chaytan Inman , Shaun Lee

We discovered that certain patterns called injective patterns remain stable during the revolution process, allowing us to create many reversible CA simply by using them to design the revolution rules. By examining injective patterns, we…

Computational Complexity · Computer Science 2023-09-28 Defu Lin , Weilin Chen , Chen Wang , Junchi Ma , Chao Wang