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Cellular Automata (CA) theory is a discrete model that represents the state of each of its cells from a finite set of possible values which evolve in time according to a pre-defined set of transition rules. CA have been applied to a number…

计算机视觉与模式识别 · 计算机科学 2017-05-22 Karttikeya Mangalam , K S Venkatesh

Cyclic cellular automata (CCA) are models of excitable media. Started from random initial conditions, they produce several different kinds of spatial structure, depending on their control parameters. We introduce new tools from information…

适应与自组织系统 · 物理学 2007-05-23 Cosma Rohilla Shalizi , Kristina Lisa Shalizi

Cellular automata (CA) are discrete-time dynamical systems with local update rules on a lattice. Despite their elementary definition, CA support a wide spectrum of macroscopic phenomena central to statistical physics: equilibrium and…

统计力学 · 物理学 2026-03-31 Mihir Metkar , Neha Sah , Yichen Zhou

In recent work [quant-ph/0405174] by Schumacher and Werner was discussed an abstract algebraic approach to a model of reversible quantum cellular automata (CA) on a lattice. It was used special model of CA based on partitioning scheme and…

量子物理 · 物理学 2007-05-23 Alexander Yu. Vlasov

Orthogonal Cellular Automata (OCA) have been recently investigated in the literature as a new approach to construct orthogonal Latin squares for cryptographic applications such as secret sharing schemes. In this paper, we consider OCA for a…

密码学与安全 · 计算机科学 2021-06-16 Luca Mariot

This paper studies two kinds of simulation between cellular automata: simulations based on factor and simulations based on sub-automaton. We show that these two kinds of simulation behave in two opposite ways with respect to the complexity…

离散数学 · 计算机科学 2010-12-01 Pierre Guillon , Pierre-Etienne Meunier , Guillaume Theyssier

Cellular automata are discrete and computational models thatcan be shown as general models of complexity. They are used in varied applications to derive the generalized behavior of the presented model. In this paper we have took one such…

神经与进化计算 · 计算机科学 2020-05-14 Karan Nayak

In this paper, a different perspective of constructing the CA models is proposed. Its kernel, the Local Symmetric Distribution Principle, relates to some fundamental concepts in physics, which maybe raise a wide interest. With a rich…

元胞自动机与格子气 · 物理学 2010-07-27 Zan Pan

We investigate S-boxes defined by pairs of Orthogonal Cellular Automata (OCA), motivated by the fact that such CA always define bijective vectorial Boolean functions, and could thus be interesting for the design of block ciphers. In…

密码学与安全 · 计算机科学 2022-05-17 Luca Mariot , Luca Manzoni

Cellular automata (CAs) are dynamical systems which exhibit complex global behavior from simple local interaction and computation. Since the inception of cellular automaton (CA) by von Neumann in 1950s, it has attracted the attention of…

形式语言与自动机理论 · 计算机科学 2024-01-17 Kamalika Bhattacharjee , Nazma Naskar , Souvik Roy , Sukanta Das

The synchronization of two stochastically coupled one-dimensional cellular automata (CA) is analyzed. It is shown that the transition to synchronization is characterized by a dramatic increase of the statistical complexity of the patterns…

元胞自动机与格子气 · 物理学 2007-05-23 Juan R. Sánchez , Ricardo López-Ruiz

Quantum cellular automata (QCA) are reviewed, including early and more recent proposals. QCA are a generalization of (classical) cellular automata (CA) and in particular of reversible CA. The latter are reviewed shortly. An overview is…

量子物理 · 物理学 2008-08-06 K. Wiesner

We investigate quantum cellular automata (QCA) on one-dimensional spin systems defined over a subalgebra of the full local operator algebra - the symmetric subalgebra under a finite Abelian group symmetry $G$. For systems where each site…

量子物理 · 物理学 2026-05-28 Ruochen Ma , Yabo Li , Meng Cheng

We present results from an experiment similar to one performed by Packard (1988), in which a genetic algorithm is used to evolve cellular automata (CA) to perform a particular computational task. Packard examined the frequency of evolved CA…

adap-org · 物理学 2008-02-03 Melanie Mitchell , Peter Hraber , James P. Crutchfield

Security in the Wireless Sensor Networks (WSN) is a very challenging task because of their dissimilarities with the conventional wireless networks. The related works so far have been done have tried to solve the problem keeping in the mind…

密码学与安全 · 计算机科学 2012-09-25 Nilanjan Sen , Indrajit Banerjee

Cellular Automata are discrete dynamical systems that evolve following simple and local rules. Despite of its local simplicity, knowledge discovery in CA is a NP problem. This is the main motivation for using data mining techniques for CA…

离散数学 · 计算机科学 2007-05-23 Gilson A. Giraldi , Antonio A. F. Oliveira , Leonardo Carvalho

Research on asynchronous cellular automata has received a great amount of attention these last years and has turned to a thriving field. We survey the recent research that has been carried out on this topic and present a wide state of the…

元胞自动机与格子气 · 物理学 2014-08-27 Nazim Fatès

In this paper we present a systematic view of Quantum Cellular Automata (QCA), a mathematical formalism of quantum computation. First we give a general mathematical framework with which to study QCA models. Then we present four different…

量子物理 · 物理学 2007-05-23 Carlos A. Perez-Delgado , Donny Cheung

We study intrinsic simulations between cellular automata and introduce a new necessary condition for a CA to simulate another one. Although expressed for general CA, this condition is targeted towards surjective CA and especially linear…

离散数学 · 计算机科学 2011-12-09 Vincent Nesme , Guillaume Theyssier

Cellular automata (CA) have been found as an attractive modeling tool for various applications, such as, pattern recognition, image processing, data compression, encryption, and specially for VLSI design & test. For such applications,…

形式语言与自动机理论 · 计算机科学 2013-11-28 Sukanta Das , Biplab K Sikdar