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The dynamical behavior of non-uniform cellular automata is compared with the one of classical cellular automata. Several differences and similarities are pointed out by a series of examples. Decidability of basic properties like…

形式语言与自动机理论 · 计算机科学 2011-07-27 Alberto Dennunzio , Enrico Formenti , Julien Provillard

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…

量子物理 · 物理学 2019-09-09 Pablo Arrighi

Cellular Automata (CA) are discrete dynamical systems and an abstract model of parallel computation. The limit set of a cellular automaton is its maximal topological attractor. A well know result, due to Kari, says that all nontrivial…

动力系统 · 数学 2009-02-10 Pietro Di Lena , Luciano Margara

We investigate critical properties of a class of number-conserving cellular automata (CA) which can be interpreted as deterministic models of traffic flow with anticipatory driving. These rules are among the only known CA rules for which…

元胞自动机与格子气 · 物理学 2023-12-18 Henryk Fuks

Cellular automata are discrete dynamical systems and a model of computation. The limit set of a cellular automaton consists of the configurations having an infinite sequence of preimages. It is well known that these always contain a…

形式语言与自动机理论 · 计算机科学 2014-02-18 Alex Borello , Julien Cervelle , Pascal Vanier

Cellular automata are topological dynamical systems. We consider the problem of deciding whether two cellular automata are conjugate or not. We also consider deciding strong conjugacy, that is, conjugacy by a map that commutes with the…

动力系统 · 数学 2019-06-04 Joonatan Jalonen , Jarkko Kari

Cellular automata (CA) dynamics are ordered in terms of two global parameters, computable {\sl a priori} from the description of rules. While one of them (activity) has been used before, the second one is new; it estimates the average…

adap-org · 物理学 2009-10-22 P. -M. Binder

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…

多智能体系统 · 计算机科学 2025-07-17 Marcin Kowalik , Przemysław Stokłosa , Mateusz Grabowski , Janusz Starzyk , Paweł Raif

We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.

概率论 · 数学 2016-04-28 Paolo Dai Pra , Pierre-Yves Louis , Sylvie Roelly

We introduce an agent-based model for the spreading of technological developments in socio-economic systems where the technology is mainly used for the collaboration/interaction of agents. Agents use products of different technologies to…

物理与社会 · 物理学 2009-11-13 Ferenc Kun , Gergely Kocsis , Janos Farkas

Cellular automata are widely used to model natural or artificial systems. Classically they are run with perfect synchrony, i.e., the local rule is applied to each cell at each time step. A possible modification of the updating scheme…

元胞自动机与格子气 · 物理学 2008-02-13 Nazim A. Fatès

We describe a class of cellular automata (CAs) that are end-to-end differentiable. DCAs interpolate the behavior of ordinary CAs through rules that act on distributions of states. The gradient of a DCA with respect to its parameters can be…

离散数学 · 计算机科学 2017-09-01 Carlos Martin

We propose a probabilistic cellular automata model for the spread of innovations, rumors, news, etc. in a social system. The local rule used in the model is outertotalistic, and the range of interaction can vary. When the range R of the…

adap-org · 物理学 2008-02-03 Henryk Fuks , Nino Boccara

In this paper we study the family of two-state Totalistic Freezing Cellular Automata (TFCA) defined over the triangular and square grids with von Neumann neighborhoods. We say that a Cellular Automaton is Freezing and Totalistic if the…

数据结构与算法 · 计算机科学 2019-12-09 Eric Goles , Diego Maldonado , Pedro Montealegre , Nicolas Ollinger

In this exploratory paper we introduce the problem of cognitive agents that learn how to modify their environment according to local sensing to reach a global goal. We concentrate on discrete dynamics (cellular automata) on a…

元胞自动机与格子气 · 物理学 2026-04-14 Franco Bagnoli , Bassem Sellami , Amira Mouakher , Samira El Yacoubi

Commonly studied cellular automata are memoryless and have fixed topology of connections between cells. However by allowing updates of links and short-term memory in cells we may potentially discover novel complex regimes of spatio-temporal…

元胞自动机与格子气 · 物理学 2012-12-13 Ramon Alonso-Sanz , Andrew Adamatzky

Cellular automata have been useful artificial models for exploring how relatively simple rules combined with spatial memory can give rise to complex emergent patterns. Moreover, studying the dynamics of how rules emerge under artificial…

元胞自动机与格子气 · 物理学 2014-07-11 Theodore P. Pavlic , Alyssa M. Adams , Paul C. W. Davies , Sara Imari Walker

A cellular automata model that describes as limit cases of his parameters the spread of contagious diseases modeled by systems of ordinary or partial differential equations is developed. Periodic features of the behavior of human settlement…

元胞自动机与格子气 · 物理学 2007-05-23 Ricardo Mansilla , Jose L. Gutierrez

We investigate one-dimensional Probabilistic Cellular Automata, called Diploid Elementary Cellular Automata (DECA), obtained as random mixture of two different Elementary Cellular Automata rules. All the cells are updated synchronously and…

统计力学 · 物理学 2021-04-28 Emilio N. M. Cirillo , Francesca R. Nardi , Cristian Spitoni

A cellular automaton named Rule 184++C is proposed as a meta-model to investigate the flow of various complex particles. In this model, unlike the granular pipe flow and the traffic flow, not only the free-jam phase transition but also the…

comp-gas · 物理学 2009-10-31 A. Awazu